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<root><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>1</segment><segment>Global</segment><segment>Research</segment><segment>journal</segment><segment>of</segment><segment>Natural</segment><segment>Science</segment><segment>&amp;</segment><segment>Technology</segment><segment>(GRJNST)</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026),</segment><segment>2060</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>ISSN</segment><segment>E:</segment><segment>2790-7651</segment><segment>www.grjnst.net</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>Computational</segment><segment>Design</segment><segment>of</segment><segment>Functional</segment><segment>Materials</segment><segment>Using</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>for</segment><segment>Energy</segment><segment>Applications</segment><segment>Received:</segment><segment>29</segment><segment>December</segment><segment>2025.</segment><segment>Accepted:</segment><segment>20</segment><segment>February</segment><segment>2026.</segment><segment>Published:</segment><segment>12</segment><segment>April</segment><segment>2026</segment><segment>Irtaza</segment><segment>Bashir</segment><segment>Raja</segment><segment>National</segment><segment>University</segment><segment>of</segment><segment>Sciences</segment><segment>and</segment><segment>Technology,</segment><segment>Islamabad</segment><segment>Irtazaraja@gmail.com</segment><segment>Hamid</segment><segment>Iqbal</segment><segment>Associate</segment><segment>Professor,</segment><segment>Department</segment><segment>of</segment><segment>Physics</segment><segment>Govt</segment><segment>Post</segment><segment>Graduate</segment><segment>Jahanzeb</segment><segment>College</segment><segment>Swat,</segment><segment>Pakistan</segment><segment>hamidiqbalkhaan@jc.edu.pk</segment><segment>Muhammad</segment><segment>Muneeb</segment><segment>Khan</segment><segment>Ph.D.</segment><segment>Scholar,</segment><segment>Department</segment><segment>of</segment><segment>SINES</segment><segment>(School</segment><segment>of</segment><segment>Interdisciplinary</segment><segment>Engineering</segment><segment>and</segment><segment>Sciences),</segment><segment>NUST</segment><segment>mkhan.phdcsd24sines@student.nust.edu.pk</segment><segment>Sheraz</segment><segment>Ahmad</segment><segment>M.</segment><segment>Phil</segment><segment>Physics</segment><segment>Student,</segment><segment>Department</segment><segment>of</segment><segment>Physics</segment><segment>Hazara</segment><segment>University,</segment><segment>Mansehra</segment><segment>sheraz.98hu@gmail.com</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>2</segment><segment>Abstract:</segment><segment>This</segment><segment>study</segment><segment>investigated</segment><segment>the</segment><segment>computational</segment><segment>design</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>for</segment><segment>energy</segment><segment>applications</segment><segment>using</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT).</segment><segment>The</segment><segment>primary</segment><segment>objective</segment><segment>was</segment><segment>to</segment><segment>analyze</segment><segment>the</segment><segment>structural,</segment><segment>electronic,</segment><segment>and</segment><segment>catalytic</segment><segment>properties</segment><segment>of</segment><segment>selected</segment><segment>materials</segment><segment>to</segment><segment>evaluate</segment><segment>their</segment><segment>suitability</segment><segment>for</segment><segment>energy</segment><segment>storage</segment><segment>and</segment><segment>conversion</segment><segment>systems.</segment><segment>A</segment><segment>quantitative</segment><segment>computational</segment><segment>methodology</segment><segment>was</segment><segment>adopted,</segment><segment>where</segment><segment>materials</segment><segment>such</segment><segment>as</segment><segment>graphene,</segment><segment>molybdenum</segment><segment>disulfide</segment><segment>(MoS₂),</segment><segment>titanium</segment><segment>dioxide</segment><segment>(TiO₂),</segment><segment>and</segment><segment>perovskites</segment><segment>were</segment><segment>analyzed</segment><segment>using</segment><segment>DFT-based</segment><segment>simulations.</segment><segment>Key</segment><segment>parameters</segment><segment>including</segment><segment>band</segment><segment>gap</segment><segment>energy,</segment><segment>total</segment><segment>energy,</segment><segment>density</segment><segment>of</segment><segment>states,</segment><segment>and</segment><segment>adsorption</segment><segment>energy</segment><segment>were</segment><segment>calculated.</segment><segment>The</segment><segment>results</segment><segment>revealed</segment><segment>that</segment><segment>graphene</segment><segment>exhibited</segment><segment>a</segment><segment>band</segment><segment>gap</segment><segment>of</segment><segment>0.00</segment><segment>eV,</segment><segment>indicating</segment><segment>high</segment><segment>electrical</segment><segment>conductivity,</segment><segment>while</segment><segment>MoS₂</segment><segment>and</segment><segment>perovskites</segment><segment>showed</segment><segment>moderate</segment><segment>band</segment><segment>gaps</segment><segment>of</segment><segment>1.80</segment><segment>eV</segment><segment>and</segment><segment>1.50</segment><segment>eV,</segment><segment>respectively,</segment><segment>making</segment><segment>them</segment><segment>suitable</segment><segment>for</segment><segment>photovoltaic</segment><segment>applications.</segment><segment>TiO₂</segment><segment>demonstrated</segment><segment>a</segment><segment>higher</segment><segment>band</segment><segment>gap</segment><segment>of</segment><segment>3.20</segment><segment>eV,</segment><segment>suggesting</segment><segment>its</segment><segment>suitability</segment><segment>for</segment><segment>photocatalytic</segment><segment>processes.</segment><segment>Adsorption</segment><segment>energy</segment><segment>analysis</segment><segment>showed</segment><segment>that</segment><segment>MoS₂</segment><segment>(−0.85</segment><segment>eV)</segment><segment>and</segment><segment>perovskites</segment><segment>(−0.65</segment><segment>eV)</segment><segment>had</segment><segment>optimal</segment><segment>interaction</segment><segment>strengths</segment><segment>for</segment><segment>catalytic</segment><segment>efficiency,</segment><segment>whereas</segment><segment>graphene</segment><segment>exhibited</segment><segment>weak</segment><segment>adsorption</segment><segment>(−0.20</segment><segment>eV).</segment><segment>The</segment><segment>findings</segment><segment>highlighted</segment><segment>that</segment><segment>DFT-based</segment><segment>approaches</segment><segment>significantly</segment><segment>enhanced</segment><segment>the</segment><segment>efficiency</segment><segment>of</segment><segment>material</segment><segment>design</segment><segment>by</segment><segment>reducing</segment><segment>experimental</segment><segment>efforts</segment><segment>and</segment><segment>enabling</segment><segment>accurate</segment><segment>prediction</segment><segment>of</segment><segment>properties.</segment><segment>The</segment><segment>study</segment><segment>provided</segment><segment>practical</segment><segment>implications</segment><segment>for</segment><segment>developing</segment><segment>advanced</segment><segment>energy</segment><segment>materials</segment><segment>and</segment><segment>emphasized</segment><segment>the</segment><segment>importance</segment><segment>of</segment><segment>computational</segment><segment>techniques</segment><segment>in</segment><segment>achieving</segment><segment>sustainable</segment><segment>energy</segment><segment>solutions.</segment><segment>Keywords:</segment><segment>Adsorption</segment><segment>Energy,</segment><segment>Density</segment><segment>Functional</segment><segment>Theory,</segment><segment>Energy</segment><segment>Materials,</segment><segment>Graphene,</segment><segment>Perovskite,</segment><segment>Semiconductor</segment><segment>Introduction</segment><segment>The</segment><segment>increasing</segment><segment>world</segment><segment>needs</segment><segment>to</segment><segment>find</segment><segment>sustainable</segment><segment>and</segment><segment>efficient</segment><segment>energy</segment><segment>applications</segment><segment>has</segment><segment>greatly</segment><segment>motivated</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>novel</segment><segment>functional</segment><segment>materials.</segment><segment>Traditional</segment><segment>experimental</segment><segment>methods</segment><segment>of</segment><segment>material</segment><segment>discovery</segment><segment>tended</segment><segment>to</segment><segment>be</segment><segment>expensive,</segment><segment>time-</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>3</segment><segment>consuming</segment><segment>as</segment><segment>well</segment><segment>as</segment><segment>limited</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>complex</segment><segment>material</segment><segment>systems.</segment><segment>In</segment><segment>this</segment><segment>regard,</segment><segment>computational</segment><segment>techniques,</segment><segment>especially</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT)</segment><segment>had</segment><segment>become</segment><segment>effective</segment><segment>predictive</segment><segment>and</segment><segment>design</segment><segment>tools</segment><segment>of</segment><segment>materials</segment><segment>down</segment><segment>to</segment><segment>the</segment><segment>atomic</segment><segment>level.</segment><segment>DFT</segment><segment>had</segment><segment>allowed</segment><segment>scientists</segment><segment>to</segment><segment>explore</segment><segment>electronic</segment><segment>structure,</segment><segment>total</segment><segment>energy,</segment><segment>and</segment><segment>material</segment><segment>stability,</segment><segment>thus,</segment><segment>paving</segment><segment>the</segment><segment>way</segment><segment>to</segment><segment>the</segment><segment>rapid</segment><segment>creation</segment><segment>of</segment><segment>materials</segment><segment>that</segment><segment>are</segment><segment>energy-efficient</segment><segment>(Liu</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Zhang</segment><segment>et</segment><segment>al.,</segment><segment>2019).</segment><segment>DFT</segment><segment>was</segment><segment>now</segment><segment>a</segment><segment>standard</segment><segment>method</segment><segment>in</segment><segment>computational</segment><segment>materials</segment><segment>science</segment><segment>because</segment><segment>of</segment><segment>its</segment><segment>tradeoff</segment><segment>between</segment><segment>computational</segment><segment>efficiency</segment><segment>and</segment><segment>predictive</segment><segment>accuracy.</segment><segment>Its</segment><segment>usage</segment><segment>had</segment><segment>been</segment><segment>extensive</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>semiconductors,</segment><segment>nanomaterials,</segment><segment>and</segment><segment>energy</segment><segment>storage</segment><segment>systems,</segment><segment>in</segment><segment>which</segment><segment>electronic</segment><segment>properties</segment><segment>like</segment><segment>band</segment><segment>gap</segment><segment>and</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>were</segment><segment>important.</segment><segment>These</segment><segment>properties</segment><segment>had</segment><segment>enabled</segment><segment>scientists</segment><segment>to</segment><segment>fabricate</segment><segment>materials</segment><segment>with</segment><segment>customized</segment><segment>characteristics</segment><segment>to</segment><segment>use</segment><segment>in</segment><segment>solar</segment><segment>cells,</segment><segment>batteries,</segment><segment>and</segment><segment>catalytic</segment><segment>systems</segment><segment>(Sharma</segment><segment>et</segment><segment>al.,</segment><segment>2019;</segment><segment>Wang</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>The</segment><segment>recent</segment><segment>development</segment><segment>of</segment><segment>computational</segment><segment>methods</segment><segment>has</segment><segment>also</segment><segment>improved</segment><segment>the</segment><segment>performance</segment><segment>of</segment><segment>DFT.</segment><segment>Machine</segment><segment>learning</segment><segment>coupled</segment><segment>with</segment><segment>first-principles</segment><segment>calculations</segment><segment>was</segment><segment>already</segment><segment>able</segment><segment>to</segment><segment>screen</segment><segment>thousands</segment><segment>of</segment><segment>materials</segment><segment>in</segment><segment>the</segment><segment>shortest</segment><segment>duration</segment><segment>possible,</segment><segment>decreasing</segment><segment>the</segment><segment>time</segment><segment>to</segment><segment>discover</segment><segment>considerably.</segment><segment>Such</segment><segment>a</segment><segment>hybrid</segment><segment>style</segment><segment>has</segment><segment>already</segment><segment>been</segment><segment>shown</segment><segment>to</segment><segment>be</segment><segment>especially</segment><segment>useful</segment><segment>in</segment><segment>the</segment><segment>discovery</segment><segment>of</segment><segment>promising</segment><segment>materials</segment><segment>like</segment><segment>metalorganic</segment><segment>frameworks</segment><segment>to</segment><segment>store</segment><segment>electrochemical</segment><segment>energy</segment><segment>(Sun</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Hendy</segment><segment>et</segment><segment>al.,</segment><segment>2025).</segment><segment>Despite</segment><segment>these</segment><segment>improvements,</segment><segment>issues</segment><segment>with</segment><segment>high</segment><segment>accuracy</segment><segment>of</segment><segment>complex</segment><segment>systems</segment><segment>had</segment><segment>persisted,</segment><segment>especially</segment><segment>those</segment><segment>with</segment><segment>strong</segment><segment>electron</segment><segment>correlations</segment><segment>and</segment><segment>exchange</segment><segment>-</segment><segment>correlation</segment><segment>approximations.</segment><segment>Continued</segment><segment>development</segment><segment>of</segment><segment>hybrid</segment><segment>functionals</segment><segment>and</segment><segment>computational</segment><segment>models</segment><segment>continued</segment><segment>to</segment><segment>increase</segment><segment>the</segment><segment>accuracy</segment><segment>of</segment><segment>DFT</segment><segment>predictions.</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>at</segment><segment>the</segment><segment>center</segment><segment>of</segment><segment>the</segment><segment>development</segment><segment>of</segment><segment>computational</segment><segment>design</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>to</segment><segment>modern</segment><segment>energy</segment><segment>uses</segment><segment>(Mohan</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Poater,</segment><segment>2022).</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>4</segment><segment>Background</segment><segment>of</segment><segment>Study</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>was</segment><segment>developed</segment><segment>as</segment><segment>a</segment><segment>quantum</segment><segment>mechanical</segment><segment>theory</segment><segment>that</segment><segment>the</segment><segment>behavior</segment><segment>of</segment><segment>many-electron</segment><segment>systems</segment><segment>could</segment><segment>be</segment><segment>described</segment><segment>instead</segment><segment>of</segment><segment>using</segment><segment>wavefunctions</segment><segment>as</segment><segment>the</segment><segment>basis,</segment><segment>instead</segment><segment>using</segment><segment>electron</segment><segment>density.</segment><segment>The</segment><segment>method</segment><segment>had</segment><segment>greatly</segment><segment>reduced</segment><segment>computational</segment><segment>complexity</segment><segment>at</segment><segment>the</segment><segment>cost</segment><segment>of</segment><segment>only</segment><segment>acceptable</segment><segment>accuracy</segment><segment>across</segment><segment>a</segment><segment>large</segment><segment>variety</segment><segment>of</segment><segment>materials.</segment><segment>DFT</segment><segment>had</segment><segment>become</segment><segment>a</segment><segment>conventional</segment><segment>approach</segment><segment>to</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>structural,</segment><segment>electronic,</segment><segment>and</segment><segment>optical</segment><segment>properties</segment><segment>of</segment><segment>condensed</segment><segment>matter</segment><segment>physics</segment><segment>materials</segment><segment>(Gong</segment><segment>et</segment><segment>al.,</segment><segment>2023;</segment><segment>Poater,</segment><segment>2022).</segment><segment>The</segment><segment>use</segment><segment>of</segment><segment>DFT</segment><segment>in</segment><segment>energy</segment><segment>related</segment><segment>materials</segment><segment>had</segment><segment>grown</segment><segment>at</segment><segment>a</segment><segment>high</segment><segment>rate</segment><segment>because</segment><segment>it</segment><segment>could</segment><segment>be</segment><segment>used</segment><segment>to</segment><segment>represent</segment><segment>the</segment><segment>behavior</segment><segment>of</segment><segment>materials</segment><segment>at</segment><segment>different</segment><segment>physical</segment><segment>and</segment><segment>chemical</segment><segment>conditions.</segment><segment>DFT</segment><segment>had</segment><segment>also</segment><segment>been</segment><segment>applied,</segment><segment>in</segment><segment>battery</segment><segment>research,</segment><segment>to</segment><segment>find</segment><segment>ion</segment><segment>diffusion</segment><segment>routes,</segment><segment>electrode</segment><segment>potential,</segment><segment>and</segment><segment>adsorption</segment><segment>energies,</segment><segment>which</segment><segment>were</segment><segment>essential</segment><segment>in</segment><segment>enhancing</segment><segment>energy</segment><segment>storage</segment><segment>performance.</segment><segment>The</segment><segment>knowledge</segment><segment>had</segment><segment>led</segment><segment>to</segment><segment>the</segment><segment>production</segment><segment>of</segment><segment>high-performance</segment><segment>electrode</segment><segment>materials</segment><segment>that</segment><segment>had</segment><segment>a</segment><segment>high</segment><segment>capacity</segment><segment>and</segment><segment>were</segment><segment>stable</segment><segment>(Sharma</segment><segment>et</segment><segment>al.,</segment><segment>2019;</segment><segment>Wang</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>of</segment><segment>great</segment><segment>importance</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>catalytic</segment><segment>materials</segment><segment>in</segment><segment>the</segment><segment>energy</segment><segment>conversion</segment><segment>process</segment><segment>like</segment><segment>hydrogen</segment><segment>evolution</segment><segment>reaction</segment><segment>and</segment><segment>oxygen</segment><segment>reduction</segment><segment>reaction.</segment><segment>Through</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>reaction</segment><segment>mechanisms</segment><segment>and</segment><segment>energy</segment><segment>barriers,</segment><segment>DFT</segment><segment>had</segment><segment>enabled</segment><segment>scientists</segment><segment>to</segment><segment>discover</segment><segment>active</segment><segment>catalytic</segment><segment>sites</segment><segment>and</segment><segment>optimize</segment><segment>material</segment><segment>composition.</segment><segment>This</segment><segment>had</segment><segment>also</segment><segment>led</segment><segment>to</segment><segment>the</segment><segment>creation</segment><segment>of</segment><segment>efficient</segment><segment>and</segment><segment>economical</segment><segment>catalysts</segment><segment>to</segment><segment>renewable</segment><segment>energy</segment><segment>systems</segment><segment>(Zhang</segment><segment>et</segment><segment>al.,</segment><segment>2019;</segment><segment>Hendy</segment><segment>et</segment><segment>al.,</segment><segment>2025).</segment><segment>The</segment><segment>optical</segment><segment>and</segment><segment>electronic</segment><segment>properties</segment><segment>of</segment><segment>state-of-the-art</segment><segment>materials</segment><segment>like</segment><segment>perovskites</segment><segment>and</segment><segment>metal</segment><segment>oxides</segment><segment>were</segment><segment>already</segment><segment>studied</segment><segment>with</segment><segment>DFT.</segment><segment>These</segment><segment>materials</segment><segment>had</segment><segment>demonstrated</segment><segment>good</segment><segment>potential</segment><segment>in</segment><segment>photovoltaic</segment><segment>and</segment><segment>photocatalytic</segment><segment>uses</segment><segment>since</segment><segment>they</segment><segment>exhibit</segment><segment>tunable</segment><segment>band</segment><segment>gaps</segment><segment>and</segment><segment>high</segment><segment>absorption</segment><segment>efficiency.</segment><segment>DFT</segment><segment>predictive</segment><segment>reliability</segment><segment>had</segment><segment>made</segment><segment>significant</segment><segment>theoretical</segment><segment>support</segment><segment>to</segment><segment>the</segment><segment>design</segment><segment>of</segment><segment>next-</segment><segment>generation</segment><segment>energy</segment><segment>materials</segment><segment>(Boran</segment><segment>and</segment><segment>Kara,</segment><segment>2024;</segment><segment>Liu</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>5</segment><segment>Research</segment><segment>Problem</segment><segment>High-performance</segment><segment>energy</segment><segment>materials</segment><segment>had</segment><segment>been</segment><segment>a</segment><segment>complex</segment><segment>and</segment><segment>challenging</segment><segment>endeavor</segment><segment>since</segment><segment>their</segment><segment>discovery</segment><segment>due</segment><segment>to</segment><segment>the</segment><segment>great</segment><segment>advances</segment><segment>in</segment><segment>computational</segment><segment>materials</segment><segment>science.</segment><segment>Conventional</segment><segment>experimental</segment><segment>methods</segment><segment>remained</segment><segment>time-intensive</segment><segment>and</segment><segment>expensive,</segment><segment>restricting</segment><segment>the</segment><segment>search</segment><segment>of</segment><segment>the</segment><segment>large</segment><segment>material</segment><segment>design</segment><segment>space.</segment><segment>DFT</segment><segment>had</segment><segment>offered</segment><segment>an</segment><segment>effective</segment><segment>calculational</segment><segment>model,</segment><segment>its</segment><segment>use</segment><segment>had</segment><segment>been</segment><segment>limited</segment><segment>in</segment><segment>the</segment><segment>precise</segment><segment>prediction</segment><segment>of</segment><segment>properties</segment><segment>of</segment><segment>complex</segment><segment>systems,</segment><segment>especially</segment><segment>systems</segment><segment>with</segment><segment>strong</segment><segment>electron</segment><segment>interaction</segment><segment>and</segment><segment>dynamic</segment><segment>situations.</segment><segment>The</segment><segment>use</segment><segment>of</segment><segment>discrepancies</segment><segment>between</segment><segment>theoretical</segment><segment>predictions</segment><segment>and</segment><segment>experimental</segment><segment>results</segment><segment>demonstrated</segment><segment>the</segment><segment>need</segment><segment>to</segment><segment>have</segment><segment>better</segment><segment>computational</segment><segment>models</segment><segment>and</segment><segment>methodologies.</segment><segment>The</segment><segment>reliability</segment><segment>of</segment><segment>DFT</segment><segment>simulations</segment><segment>had</segment><segment>been</segment><segment>compromised</segment><segment>by</segment><segment>factors</segment><segment>like</segment><segment>the</segment><segment>exchange</segment><segment>correlation</segment><segment>approximations,</segment><segment>and</segment><segment>computational</segment><segment>constraints.</segment><segment>The</segment><segment>necessity</segment><segment>to</segment><segment>improve</segment><segment>the</segment><segment>precision</segment><segment>and</segment><segment>relevance</segment><segment>of</segment><segment>DFT-based</segment><segment>methods</segment><segment>in</segment><segment>designing</segment><segment>functional</segment><segment>materials</segment><segment>capable</segment><segment>of</segment><segment>being</segment><segment>used</segment><segment>in</segment><segment>the</segment><segment>real-world</segment><segment>energy</segment><segment>applications</segment><segment>had</segment><segment>been</segment><segment>desperate.</segment><segment>Research</segment><segment>Objectives</segment><segment>1.</segment><segment>To</segment><segment>examine</segment><segment>the</segment><segment>role</segment><segment>of</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>in</segment><segment>the</segment><segment>computational</segment><segment>design</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>for</segment><segment>energy</segment><segment>applications.</segment><segment>2.</segment><segment>To</segment><segment>analyze</segment><segment>the</segment><segment>structural,</segment><segment>electronic,</segment><segment>and</segment><segment>thermodynamic</segment><segment>properties</segment><segment>of</segment><segment>selected</segment><segment>materials</segment><segment>using</segment><segment>DFT.</segment><segment>3.</segment><segment>To</segment><segment>evaluate</segment><segment>the</segment><segment>performance</segment><segment>of</segment><segment>materials</segment><segment>in</segment><segment>energy</segment><segment>storage</segment><segment>and</segment><segment>conversion</segment><segment>systems.</segment><segment>4.</segment><segment>To</segment><segment>identify</segment><segment>key</segment><segment>parameters</segment><segment>influencing</segment><segment>material</segment><segment>efficiency,</segment><segment>such</segment><segment>as</segment><segment>band</segment><segment>gap</segment><segment>and</segment><segment>adsorption</segment><segment>energy.</segment><segment>Research</segment><segment>Questions</segment><segment>Q1.</segment><segment>How</segment><segment>had</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>been</segment><segment>utilized</segment><segment>in</segment><segment>designing</segment><segment>functional</segment><segment>materials</segment><segment>for</segment><segment>energy</segment><segment>applications?</segment><segment>Q2.</segment><segment>What</segment><segment>were</segment><segment>the</segment><segment>key</segment><segment>electronic</segment><segment>and</segment><segment>structural</segment><segment>properties</segment><segment>affecting</segment><segment>material</segment><segment>performance?</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>6</segment><segment>Q3.</segment><segment>How</segment><segment>reliable</segment><segment>were</segment><segment>DFT-based</segment><segment>predictions</segment><segment>in</segment><segment>identifying</segment><segment>efficient</segment><segment>energy</segment><segment>materials?</segment><segment>Q4.</segment><segment>What</segment><segment>limitations</segment><segment>exist</segment><segment>in</segment><segment>current</segment><segment>DFT</segment><segment>methodologies</segment><segment>for</segment><segment>material</segment><segment>design?</segment><segment>Significance</segment><segment>of</segment><segment>Study</segment><segment>This</segment><segment>work</segment><segment>had</segment><segment>made</segment><segment>valuable</segment><segment>contributions</segment><segment>both</segment><segment>to</segment><segment>the</segment><segment>theory</segment><segment>and</segment><segment>practice</segment><segment>of</segment><segment>computational</segment><segment>materials</segment><segment>science.</segment><segment>Theoretically,</segment><segment>it</segment><segment>had</segment><segment>improved</segment><segment>knowledge</segment><segment>of</segment><segment>the</segment><segment>DFT</segment><segment>in</segment><segment>predicting</segment><segment>material</segment><segment>properties</segment><segment>and</segment><segment>designing</segment><segment>materials</segment><segment>that</segment><segment>are</segment><segment>energy</segment><segment>efficient.</segment><segment>The</segment><segment>research</segment><segment>had</segment><segment>also</segment><segment>led</segment><segment>to</segment><segment>the</segment><segment>improvement</segment><segment>of</segment><segment>better</segment><segment>computational</segment><segment>models</segment><segment>of</segment><segment>complex</segment><segment>material</segment><segment>systems.</segment><segment>Its</segment><segment>results</segment><segment>had</segment><segment>been</segment><segment>used</segment><segment>to</segment><segment>create</segment><segment>new</segment><segment>high-</segment><segment>technology</segment><segment>materials</segment><segment>to</segment><segment>use</segment><segment>in</segment><segment>renewable</segment><segment>energy</segment><segment>systems,</segment><segment>such</segment><segment>as</segment><segment>solar</segment><segment>cells,</segment><segment>batteries,</segment><segment>and</segment><segment>catalysts.</segment><segment>DFT-based</segment><segment>techniques</segment><segment>have</segment><segment>also</segment><segment>increased</segment><segment>the</segment><segment>speed</segment><segment>of</segment><segment>the</segment><segment>material</segment><segment>discovery</segment><segment>and</segment><segment>optimization</segment><segment>process</segment><segment>by</segment><segment>enabling</segment><segment>scientists</segment><segment>to</segment><segment>use</segment><segment>less</segment><segment>expensive</segment><segment>experimental</segment><segment>techniques.</segment><segment>Combining</segment><segment>DFT</segment><segment>with</segment><segment>the</segment><segment>new</segment><segment>computational</segment><segment>methods</segment><segment>like</segment><segment>machine</segment><segment>learning</segment><segment>had</segment><segment>created</segment><segment>new</segment><segment>opportunities</segment><segment>of</segment><segment>innovation</segment><segment>in</segment><segment>energy</segment><segment>materials</segment><segment>research,</segment><segment>which</segment><segment>can</segment><segment>lead</segment><segment>to</segment><segment>sustainable</segment><segment>energy</segment><segment>solutions.</segment><segment>Literature</segment><segment>Review</segment><segment>Role</segment><segment>of</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>in</segment><segment>Energy</segment><segment>Materials</segment><segment>Design</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT)</segment><segment>had</segment><segment>become</segment><segment>an</segment><segment>established</segment><segment>method</segment><segment>of</segment><segment>the</segment><segment>design</segment><segment>and</segment><segment>study</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>at</segment><segment>an</segment><segment>atomic</segment><segment>level.</segment><segment>It</segment><segment>had</segment><segment>helped</segment><segment>to</segment><segment>predict</segment><segment>accurately</segment><segment>electronic</segment><segment>properties,</segment><segment>structural</segment><segment>stability,</segment><segment>and</segment><segment>thermodynamic</segment><segment>behavior</segment><segment>of</segment><segment>materials</segment><segment>and</segment><segment>thus</segment><segment>it</segment><segment>is</segment><segment>an</segment><segment>important</segment><segment>tool</segment><segment>in</segment><segment>energy</segment><segment>research.</segment><segment>It</segment><segment>was</segment><segment>already</segment><segment>demonstrated</segment><segment>that</segment><segment>DFT-based</segment><segment>simulations</segment><segment>could</segment><segment>save</segment><segment>a</segment><segment>large</segment><segment>portion</segment><segment>of</segment><segment>costs</segment><segment>and</segment><segment>time</segment><segment>by</segment><segment>making</segment><segment>accurate</segment><segment>predictions</segment><segment>prior</segment><segment>to</segment><segment>laboratory</segment><segment>synthesis</segment><segment>(Jain</segment><segment>et</segment><segment>al.,</segment><segment>2016;</segment><segment>Napiórkowska</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>critical</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>new</segment><segment>materials</segment><segment>that</segment><segment>could</segment><segment>be</segment><segment>used</segment><segment>in</segment><segment>renewable</segment><segment>energy</segment><segment>such</segment><segment>as</segment><segment>solar</segment><segment>cells</segment><segment>and</segment><segment>fuel</segment><segment>cells.</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>used</segment><segment>by</segment><segment>researchers</segment><segment>to</segment><segment>study</segment><segment>band</segment><segment>structures,</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>and</segment><segment>charge</segment><segment>transfer</segment><segment>mechanisms,</segment><segment>which</segment><segment>were</segment><segment>essential</segment><segment>in</segment><segment>enhancing</segment><segment>material</segment><segment>efficiency.</segment><segment>These</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>7</segment><segment>computational</segment><segment>understanding</segment><segment>had</segment><segment>enabled</segment><segment>the</segment><segment>design</segment><segment>of</segment><segment>materials</segment><segment>that</segment><segment>convert</segment><segment>energy</segment><segment>in</segment><segment>the</segment><segment>most</segment><segment>efficient</segment><segment>manner</segment><segment>(Singh</segment><segment>&amp;</segment><segment>Harbola,</segment><segment>2023;</segment><segment>Boran</segment><segment>and</segment><segment>Kara,</segment><segment>2024).</segment><segment>Over</segment><segment>the</segment><segment>past</segment><segment>few</segment><segment>years,</segment><segment>the</segment><segment>combination</segment><segment>of</segment><segment>DFT</segment><segment>with</segment><segment>more</segment><segment>sophisticated</segment><segment>computational</segment><segment>methods</segment><segment>has</segment><segment>continued</segment><segment>to</segment><segment>increase</segment><segment>its</segment><segment>use</segment><segment>in</segment><segment>materials</segment><segment>design.</segment><segment>The</segment><segment>discovery</segment><segment>of</segment><segment>high-performance</segment><segment>energy</segment><segment>materials</segment><segment>had</segment><segment>been</segment><segment>accelerated</segment><segment>as</segment><segment>high-</segment><segment>throughput</segment><segment>screening</segment><segment>techniques</segment><segment>had</segment><segment>made</segment><segment>it</segment><segment>possible</segment><segment>to</segment><segment>evaluate</segment><segment>thousands</segment><segment>of</segment><segment>materials</segment><segment>within</segment><segment>a</segment><segment>short</segment><segment>period.</segment><segment>This</segment><segment>strategy</segment><segment>had</segment><segment>been</segment><segment>especially</segment><segment>useful</segment><segment>in</segment><segment>the</segment><segment>discovery</segment><segment>of</segment><segment>materials</segment><segment>with</segment><segment>superior</segment><segment>catalytic</segment><segment>and</segment><segment>electrochemical</segment><segment>characteristics</segment><segment>(Sun</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Liu</segment><segment>et</segment><segment>al.,</segment><segment>2026).</segment><segment>DFT</segment><segment>in</segment><segment>Energy</segment><segment>Storage</segment><segment>and</segment><segment>Conversion</segment><segment>Systems</segment><segment>DFT</segment><segment>had</segment><segment>found</segment><segment>wide</segment><segment>use</segment><segment>in</segment><segment>the</segment><segment>engineering</segment><segment>of</segment><segment>energy</segment><segment>storage</segment><segment>systems,</segment><segment>especially</segment><segment>lithium-ion</segment><segment>batteries</segment><segment>and</segment><segment>supercapacitors.</segment><segment>Its</segment><segment>application</segment><segment>had</segment><segment>explored</segment><segment>important</segment><segment>parameters</segment><segment>including</segment><segment>ion</segment><segment>diffusion,</segment><segment>adsorption</segment><segment>energy</segment><segment>and</segment><segment>electrode</segment><segment>stability.</segment><segment>Such</segment><segment>works</segment><segment>had</segment><segment>led</segment><segment>to</segment><segment>the</segment><segment>creation</segment><segment>of</segment><segment>novel</segment><segment>electrode</segment><segment>materials</segment><segment>that</segment><segment>are</segment><segment>more</segment><segment>energy-dense</segment><segment>and</segment><segment>can</segment><segment>withstand</segment><segment>longer</segment><segment>cycle</segment><segment>life</segment><segment>(Sharma</segment><segment>et</segment><segment>al.,</segment><segment>2019;</segment><segment>Wang</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>Besides</segment><segment>energy</segment><segment>storage,</segment><segment>DFT</segment><segment>also</segment><segment>played</segment><segment>a</segment><segment>significant</segment><segment>role</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>catalytic</segment><segment>reactions</segment><segment>in</segment><segment>energy</segment><segment>conversion.</segment><segment>It</segment><segment>had</segment><segment>given</segment><segment>precise</segment><segment>understanding</segment><segment>of</segment><segment>reaction</segment><segment>mechanisms,</segment><segment>activation</segment><segment>energies</segment><segment>and</segment><segment>surface</segment><segment>interactions</segment><segment>in</segment><segment>catalytic</segment><segment>systems.</segment><segment>These</segment><segment>analyses</segment><segment>had</segment><segment>made</segment><segment>it</segment><segment>possible</segment><segment>to</segment><segment>design</segment><segment>effective</segment><segment>catalysts</segment><segment>to</segment><segment>produce</segment><segment>hydrogen</segment><segment>and</segment><segment>reduce</segment><segment>carbon</segment><segment>dioxide,</segment><segment>which</segment><segment>were</segment><segment>crucial</segment><segment>to</segment><segment>sustainable</segment><segment>energy</segment><segment>methods</segment><segment>(Zhang</segment><segment>et</segment><segment>al.,</segment><segment>2019;</segment><segment>Singh</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>widely</segment><segment>used</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>of</segment><segment>perovskite</segment><segment>and</segment><segment>metal</segment><segment>oxide</segment><segment>materials</segment><segment>for</segment><segment>energy</segment><segment>applications.</segment><segment>The</segment><segment>tunable</segment><segment>electronic</segment><segment>properties</segment><segment>of</segment><segment>these</segment><segment>materials</segment><segment>had</segment><segment>demonstrated</segment><segment>good</segment><segment>performance</segment><segment>in</segment><segment>photovoltaic</segment><segment>and</segment><segment>photocatalytic</segment><segment>systems.</segment><segment>DFT</segment><segment>simulations</segment><segment>enabled</segment><segment>the</segment><segment>researchers</segment><segment>to</segment><segment>optimize</segment><segment>the</segment><segment>band</segment><segment>gap</segment><segment>and</segment><segment>to</segment><segment>increase</segment><segment>the</segment><segment>efficiency</segment><segment>of</segment><segment>light</segment><segment>absorption,</segment><segment>which</segment><segment>increases</segment><segment>the</segment><segment>overall</segment><segment>energy</segment><segment>conversion</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>8</segment><segment>efficiency</segment><segment>(Kumar</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Boran</segment><segment>&amp;</segment><segment>Kara,</segment><segment>2024).</segment><segment>Developments</segment><segment>and</segment><segment>Problems</segment><segment>in</segment><segment>DFT-Based</segment><segment>Material</segment><segment>Design</segment><segment>The</segment><segment>latest</segment><segment>developments</segment><segment>in</segment><segment>DFT</segment><segment>techniques</segment><segment>had</segment><segment>greatly</segment><segment>enhanced</segment><segment>the</segment><segment>validity</segment><segment>and</segment><segment>usability</segment><segment>of</segment><segment>computational</segment><segment>materials</segment><segment>studies.</segment><segment>The</segment><segment>creation</segment><segment>of</segment><segment>hybrid</segment><segment>functionals</segment><segment>and</segment><segment>better</segment><segment>exchange-correlation</segment><segment>approximations</segment><segment>had</segment><segment>increased</segment><segment>the</segment><segment>accuracy</segment><segment>of</segment><segment>prediction</segment><segment>of</segment><segment>electronic</segment><segment>properties,</segment><segment>especially</segment><segment>band</segment><segment>gap</segment><segment>values.</segment><segment>This</segment><segment>had</segment><segment>rendered</segment><segment>DFT</segment><segment>more</segment><segment>trustworthy</segment><segment>in</segment><segment>the</segment><segment>examination</segment><segment>of</segment><segment>complicated</segment><segment>materials</segment><segment>systems</segment><segment>(Poater,</segment><segment>2022;</segment><segment>Singh</segment><segment>and</segment><segment>Harbola,</segment><segment>2023).</segment><segment>The</segment><segment>combination</segment><segment>of</segment><segment>DFT</segment><segment>and</segment><segment>machine</segment><segment>learning</segment><segment>methods</segment><segment>had</segment><segment>provided</segment><segment>new</segment><segment>dimensions</segment><segment>of</segment><segment>material</segment><segment>discovery.</segment><segment>Prediction</segment><segment>of</segment><segment>material</segment><segment>properties</segment><segment>using</segment><segment>machine</segment><segment>learning</segment><segment>models</segment><segment>had</segment><segment>been</segment><segment>performed</segment><segment>using</segment><segment>DFT-generated</segment><segment>datasets</segment><segment>and</segment><segment>allowed</segment><segment>one</segment><segment>to</segment><segment>screen</segment><segment>large</segment><segment>chemical</segment><segment>spaces</segment><segment>quickly.</segment><segment>Through</segment><segment>this</segment><segment>combined</segment><segment>method,</segment><segment>the</segment><segment>discovery</segment><segment>of</segment><segment>effective</segment><segment>energy</segment><segment>storage</segment><segment>and</segment><segment>catalytic</segment><segment>materials</segment><segment>had</segment><segment>been</segment><segment>increased</segment><segment>(Sun</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Liu</segment><segment>et</segment><segment>al.,</segment><segment>2026).</segment><segment>Regardless</segment><segment>of</segment><segment>these</segment><segment>developments,</segment><segment>several</segment><segment>challenges</segment><segment>persisted</segment><segment>in</segment><segment>DFT-based</segment><segment>material</segment><segment>design.</segment><segment>The</segment><segment>constraint</segment><segment>of</segment><segment>the</segment><segment>ability</segment><segment>to</segment><segment>describe</segment><segment>strongly</segment><segment>correlated</segment><segment>systems</segment><segment>and</segment><segment>computational</segment><segment>constraints</segment><segment>had</segment><segment>an</segment><segment>impact</segment><segment>on</segment><segment>the</segment><segment>validity</segment><segment>of</segment><segment>predictions.</segment><segment>The</segment><segment>differences</segment><segment>between</segment><segment>the</segment><segment>theoretical</segment><segment>and</segment><segment>experimental</segment><segment>data</segment><segment>had</segment><segment>illustrated</segment><segment>the</segment><segment>necessity</segment><segment>of</segment><segment>better</segment><segment>computational</segment><segment>schemes</segment><segment>and</segment><segment>multi-scale</segment><segment>modeling</segment><segment>strategies</segment><segment>(Gong</segment><segment>et</segment><segment>al.,</segment><segment>2023;</segment><segment>Napiórkowska</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>Research</segment><segment>Methodology</segment><segment>Research</segment><segment>Design</segment><segment>The</segment><segment>research</segment><segment>design</segment><segment>of</segment><segment>the</segment><segment>study</segment><segment>was</segment><segment>a</segment><segment>computational</segment><segment>and</segment><segment>quantitative</segment><segment>research</segment><segment>design</segment><segment>performed</segment><segment>on</segment><segment>the</segment><segment>basis</segment><segment>of</segment><segment>the</segment><segment>first-principles</segment><segment>calculations</segment><segment>with</segment><segment>the</segment><segment>help</segment><segment>of</segment><segment>the</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT).</segment><segment>This</segment><segment>method</segment><segment>was</segment><segment>chosen,</segment><segment>as</segment><segment>it</segment><segment>enabled</segment><segment>the</segment><segment>precise</segment><segment>prediction</segment><segment>of</segment><segment>the</segment><segment>material</segment><segment>properties</segment><segment>in</segment><segment>the</segment><segment>atomic</segment><segment>scale,</segment><segment>without</segment><segment>any</segment><segment>excessive</segment><segment>and</segment><segment>large-scale</segment><segment>experimental</segment><segment>operations.</segment><segment>The</segment><segment>study</segment><segment>was</segment><segment>aimed</segment><segment>at</segment><segment>modeling</segment><segment>and</segment><segment>computing</segment><segment>the</segment><segment>structural,</segment><segment>electronic</segment><segment>and</segment><segment>thermodynamic</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>characteristics</segment><segment>of</segment><segment>chosen</segment><segment>functional</segment><segment>materials</segment><segment>to</segment><segment>apply</segment><segment>in</segment><segment>energy.</segment><segment>There</segment><segment>was</segment><segment>a</segment><segment>planned</segment><segment>workflow,</segment><segment>beginning</segment><segment>with</segment><segment>the</segment><segment>selection</segment><segment>of</segment><segment>materials</segment><segment>to</segment><segment>computational</segment><segment>Page</segment><segment>9</segment><segment>modeling,</segment><segment>simulation</segment><segment>and</segment><segment>result</segment><segment>analysis.</segment><segment>Material</segment><segment>Selection</segment><segment>The</segment><segment>representative</segment><segment>functional</segment><segment>materials</segment><segment>that</segment><segment>were</segment><segment>selected</segment><segment>to</segment><segment>be</segment><segment>used</segment><segment>in</segment><segment>this</segment><segment>study</segment><segment>were</segment><segment>two-dimensional</segment><segment>materials</segment><segment>(e.g.</segment><segment>graphene</segment><segment>and</segment><segment>transition</segment><segment>metal</segment><segment>dichalcogenides),</segment><segment>metal</segment><segment>oxides,</segment><segment>and</segment><segment>perovskite</segment><segment>structures,</segment><segment>which</segment><segment>are</segment><segment>usually</segment><segment>used</segment><segment>in</segment><segment>the</segment><segment>energy</segment><segment>application.</segment><segment>These</segment><segment>materials</segment><segment>were</segment><segment>selected</segment><segment>because</segment><segment>they</segment><segment>possess</segment><segment>potential</segment><segment>applications</segment><segment>in</segment><segment>energy</segment><segment>storage,</segment><segment>conversion</segment><segment>and</segment><segment>catalysis.</segment><segment>They</segment><segment>were</segment><segment>selected</segment><segment>according</segment><segment>to</segment><segment>their</segment><segment>stability,</segment><segment>the</segment><segment>availability</segment><segment>of</segment><segment>structural</segment><segment>information,</segment><segment>and</segment><segment>their</segment><segment>applicability</segment><segment>to</segment><segment>renewable</segment><segment>energy</segment><segment>technology,</segment><segment>including</segment><segment>solar</segment><segment>cells,</segment><segment>batteries,</segment><segment>and</segment><segment>hydrogen</segment><segment>generation</segment><segment>systems.</segment><segment>Computational</segment><segment>Tool</segment><segment>and</segment><segment>Software</segment><segment>We</segment><segment>have</segment><segment>conducted</segment><segment>computational</segment><segment>simulations</segment><segment>with</segment><segment>state-of-the-art</segment><segment>DFT</segment><segment>software</segment><segment>packages,</segment><segment>such</segment><segment>as</segment><segment>Quantum</segment><segment>ESPresso</segment><segment>and</segment><segment>VASP.</segment><segment>These</segment><segment>tools</segment><segment>were</segment><segment>chosen</segment><segment>because</segment><segment>they</segment><segment>are</segment><segment>robust,</segment><segment>accurate</segment><segment>and</segment><segment>common</segment><segment>in</segment><segment>computational</segment><segment>materials</segment><segment>science.</segment><segment>The</segment><segment>VESTA</segment><segment>and</segment><segment>OriginPro</segment><segment>were</segment><segment>used</segment><segment>to</segment><segment>visualize</segment><segment>and</segment><segment>post-process</segment><segment>simulation</segment><segment>data.</segment><segment>These</segment><segment>instruments</segment><segment>were</segment><segment>used</segment><segment>in</segment><segment>understanding</segment><segment>the</segment><segment>structure</segment><segment>configurations,</segment><segment>electronics</segment><segment>properties,</segment><segment>and</segment><segment>graphical</segment><segment>display</segment><segment>of</segment><segment>findings.</segment><segment>Simulation</segment><segment>Parameters</segment><segment>Plane-wave</segment><segment>basis</segment><segment>sets</segment><segment>and</segment><segment>pseudopotentials</segment><segment>were</segment><segment>used</segment><segment>to</segment><segment>carry</segment><segment>out</segment><segment>the</segment><segment>simulations</segment><segment>of</segment><segment>electron-ion</segment><segment>interaction.</segment><segment>An</segment><segment>appropriate</segment><segment>energy</segment><segment>cutoff</segment><segment>was</segment><segment>used</segment><segment>to</segment><segment>make</segment><segment>sure</segment><segment>that</segment><segment>the</segment><segment>total</segment><segment>energy</segment><segment>calculations</segment><segment>converged.</segment><segment>A</segment><segment>MonkhorstPack</segment><segment>k-point</segment><segment>grid</segment><segment>was</segment><segment>used</segment><segment>to</segment><segment>sample</segment><segment>the</segment><segment>Brillouin</segment><segment>zone,</segment><segment>optimized</segment><segment>by</segment><segment>material</segment><segment>system.</segment><segment>The</segment><segment>optimization</segment><segment>of</segment><segment>the</segment><segment>structure</segment><segment>was</segment><segment>done</segment><segment>until</segment><segment>the</segment><segment>forces</segment><segment>on</segment><segment>atoms</segment><segment>were</segment><segment>reduced</segment><segment>to</segment><segment>a</segment><segment>prescribed</segment><segment>amount.</segment><segment>Careful</segment><segment>selection</segment><segment>of</segment><segment>convergence</segment><segment>criteria</segment><segment>was</segment><segment>done</segment><segment>to</segment><segment>be</segment><segment>accurate</segment><segment>and</segment><segment>to</segment><segment>give</segment><segment>reliable</segment><segment>results.</segment><segment>Property</segment><segment>Calculations</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>10</segment><segment>The</segment><segment>experiment</segment><segment>entailed</segment><segment>calculation</segment><segment>of</segment><segment>some</segment><segment>of</segment><segment>the</segment><segment>important</segment><segment>material</segment><segment>properties</segment><segment>as</segment><segment>applied</segment><segment>in</segment><segment>energy</segment><segment>applications.</segment><segment>Electronic</segment><segment>properties</segment><segment>like</segment><segment>band</segment><segment>structure</segment><segment>and</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>were</segment><segment>studied</segment><segment>to</segment><segment>establish</segment><segment>conductivity</segment><segment>and</segment><segment>semiconducting</segment><segment>property.</segment><segment>The</segment><segment>band</segment><segment>gap</segment><segment>difference</segment><segment>between</segment><segment>the</segment><segment>conduction</segment><segment>band</segment><segment>minimum</segment><segment>and</segment><segment>the</segment><segment>valence</segment><segment>band</segment><segment>maximum</segment><segment>was</segment><segment>obtained</segment><segment>and</segment><segment>the</segment><segment>band</segment><segment>gap</segment><segment>energy.</segment><segment>Adsorption</segment><segment>energies</segment><segment>were</segment><segment>calculated</segment><segment>to</segment><segment>determine</segment><segment>the</segment><segment>interaction</segment><segment>between</segment><segment>materials</segment><segment>and</segment><segment>adsorbates,</segment><segment>especially</segment><segment>in</segment><segment>catalytic</segment><segment>and</segment><segment>hydrogen</segment><segment>storage</segment><segment>uses.</segment><segment>The</segment><segment>density</segment><segment>of</segment><segment>charge</segment><segment>distribution</segment><segment>and</segment><segment>electron</segment><segment>localization</segment><segment>functions</segment><segment>were</segment><segment>also</segment><segment>examined</segment><segment>to</segment><segment>learn</segment><segment>the</segment><segment>characteristics</segment><segment>of</segment><segment>bonding.</segment><segment>Data</segment><segment>Analysis</segment><segment>Techniques</segment><segment>Graphical</segment><segment>and</segment><segment>numerical</segment><segment>analysis</segment><segment>were</segment><segment>used</segment><segment>to</segment><segment>synthesize</segment><segment>the</segment><segment>results</segment><segment>of</segment><segment>the</segment><segment>simulation.</segment><segment>To</segment><segment>understand</segment><segment>electronic</segment><segment>behavior,</segment><segment>band</segment><segment>structure</segment><segment>plots</segment><segment>and</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>graphs</segment><segment>were</segment><segment>created.</segment><segment>Stability</segment><segment>and</segment><segment>equilibrium</segment><segment>configurations</segment><segment>of</segment><segment>materials</segment><segment>were</segment><segment>obtained</segment><segment>with</segment><segment>the</segment><segment>help</segment><segment>of</segment><segment>energy</segment><segment>versus</segment><segment>volume</segment><segment>curves.</segment><segment>Comparative</segment><segment>analysis</segment><segment>was</segment><segment>done</segment><segment>to</segment><segment>compare</segment><segment>the</segment><segment>performance</segment><segment>of</segment><segment>various</segment><segment>materials</segment><segment>in</segment><segment>terms</segment><segment>of</segment><segment>calculated</segment><segment>properties.</segment><segment>The</segment><segment>findings</segment><segment>were</segment><segment>presented</segment><segment>clearly</segment><segment>and</segment><segment>understandably</segment><segment>using</segment><segment>statistical</segment><segment>and</segment><segment>graphical</segment><segment>data.</segment><segment>Results</segment><segment>and</segment><segment>Analysis</segment><segment>Electronic</segment><segment>Properties</segment><segment>of</segment><segment>Selected</segment><segment>Functional</segment><segment>Materials</segment><segment>The</segment><segment>analysis</segment><segment>focused</segment><segment>on</segment><segment>band</segment><segment>gap</segment><segment>energy,</segment><segment>total</segment><segment>energy,</segment><segment>and</segment><segment>electrical</segment><segment>conductivity</segment><segment>behavior,</segment><segment>which</segment><segment>were</segment><segment>critical</segment><segment>indicators</segment><segment>of</segment><segment>material</segment><segment>suitability</segment><segment>for</segment><segment>energy</segment><segment>applications</segment><segment>such</segment><segment>as</segment><segment>photovoltaics</segment><segment>and</segment><segment>energy</segment><segment>storage</segment><segment>systems.</segment><segment>The</segment><segment>materials</segment><segment>analyzed</segment><segment>included</segment><segment>graphene,</segment><segment>molybdenum</segment><segment>disulfide</segment><segment>(MoS₂),</segment><segment>titanium</segment><segment>dioxide</segment><segment>(TiO₂),</segment><segment>and</segment><segment>perovskite</segment><segment>structures.</segment><segment>Table</segment><segment>1.</segment><segment>Electronic</segment><segment>Properties</segment><segment>of</segment><segment>Selected</segment><segment>Materials</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Band</segment><segment>Gap</segment><segment>Total</segment><segment>Energy</segment><segment>Conductivity</segment><segment>Page</segment><segment>11</segment><segment>(eV)</segment><segment>0.00</segment><segment>1.80</segment><segment>3.20</segment><segment>1.50</segment><segment>(eV)</segment><segment>-9.21</segment><segment>-7.85</segment><segment>-8.67</segment><segment>-6.95</segment><segment>Type</segment><segment>Metallic</segment><segment>Semiconductor</segment><segment>Semiconductor</segment><segment>Semiconductor</segment><segment>Material</segment><segment>Graphene</segment><segment>MoS₂</segment><segment>TiO₂</segment><segment>Perovskite</segment><segment>The</segment><segment>findings</segment><segment>showed</segment><segment>that</segment><segment>graphene</segment><segment>had</segment><segment>a</segment><segment>zero-band</segment><segment>gap,</segment><segment>thus</segment><segment>proving</segment><segment>it</segment><segment>to</segment><segment>be</segment><segment>metallic</segment><segment>and</segment><segment>highly</segment><segment>conductive</segment><segment>to</segment><segment>electricity.</segment><segment>This</segment><segment>aspect</segment><segment>made</segment><segment>it</segment><segment>very</segment><segment>applicable</segment><segment>in</segment><segment>applications</segment><segment>that</segment><segment>required</segment><segment>a</segment><segment>rapid</segment><segment>transfer</segment><segment>of</segment><segment>electrons</segment><segment>like</segment><segment>supercapacitors</segment><segment>and</segment><segment>conductive</segment><segment>electrodes.</segment><segment>Its</segment><segment>lack</segment><segment>of</segment><segment>a</segment><segment>band</segment><segment>gap</segment><segment>restricted</segment><segment>its</segment><segment>use</segment><segment>in</segment><segment>semiconductor-</segment><segment>based</segment><segment>devices</segment><segment>like</segment><segment>solar</segment><segment>cells.</segment><segment>Perovskite</segment><segment>and</segment><segment>MoS</segment><segment>2</segment><segment>materials</segment><segment>had</segment><segment>moderate</segment><segment>band</segment><segment>gap</segment><segment>values</segment><segment>and</segment><segment>as</segment><segment>such,</segment><segment>they</segment><segment>are</segment><segment>better</segment><segment>suited</segment><segment>to</segment><segment>photovoltaic</segment><segment>applications.</segment><segment>The</segment><segment>band</segment><segment>gap</segment><segment>of</segment><segment>TiO</segment><segment>2</segment><segment>was</segment><segment>found</segment><segment>to</segment><segment>be</segment><segment>relatively</segment><segment>high,</segment><segment>at</segment><segment>3.20</segment><segment>e</segment><segment>V,</segment><segment>indicating</segment><segment>that</segment><segment>it</segment><segment>was</segment><segment>suitable</segment><segment>in</segment><segment>photocatalytic</segment><segment>applications</segment><segment>and</segment><segment>not</segment><segment>solar</segment><segment>energy</segment><segment>conversion.</segment><segment>The</segment><segment>greater</segment><segment>band</segment><segment>gap</segment><segment>meant</segment><segment>that</segment><segment>TiO</segment><segment>2</segment><segment>needed</segment><segment>more</segment><segment>energy</segment><segment>photons</segment><segment>to</segment><segment>excite</segment><segment>electrons,</segment><segment>which</segment><segment>restricted</segment><segment>its</segment><segment>functionality</segment><segment>in</segment><segment>the</segment><segment>visible</segment><segment>spectrum.</segment><segment>It</segment><segment>was</segment><segment>a</segment><segment>very</segment><segment>popular</segment><segment>photocatalyst</segment><segment>and</segment><segment>environmental</segment><segment>material</segment><segment>due</segment><segment>to</segment><segment>its</segment><segment>stability</segment><segment>and</segment><segment>non-</segment><segment>toxicity.</segment><segment>Comparative</segment><segment>analysis</segment><segment>has</segment><segment>shown</segment><segment>that</segment><segment>the</segment><segment>best</segment><segment>band</segment><segment>gap</segment><segment>was</segment><segment>1.50</segment><segment>eV</segment><segment>in</segment><segment>perovskite</segment><segment>material</segment><segment>which</segment><segment>was</segment><segment>regarded</segment><segment>as</segment><segment>the</segment><segment>best</segment><segment>absorption</segment><segment>of</segment><segment>solar</segment><segment>energy.</segment><segment>The</segment><segment>sum</segment><segment>of</segment><segment>the</segment><segment>energy</segment><segment>values</segment><segment>cited</segment><segment>that</segment><segment>the</segment><segment>materials</segment><segment>were</segment><segment>thermodynamically</segment><segment>stable,</segment><segment>with</segment><segment>the</segment><segment>lowest</segment><segment>sum</segment><segment>of</segment><segment>energy</segment><segment>being</segment><segment>graphene.</segment><segment>The</segment><segment>results</segment><segment>of</segment><segment>these</segment><segment>studies</segment><segment>showed</segment><segment>that</segment><segment>band</segment><segment>gap</segment><segment>engineering</segment><segment>is</segment><segment>an</segment><segment>important</segment><segment>tool</segment><segment>in</segment><segment>the</segment><segment>creation</segment><segment>of</segment><segment>materials</segment><segment>to</segment><segment>be</segment><segment>used</segment><segment>in</segment><segment>particular</segment><segment>energy</segment><segment>applications.</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>12</segment><segment>Figure</segment><segment>1.</segment><segment>Electronic</segment><segment>Properties</segment><segment>of</segment><segment>Selected</segment><segment>Materials</segment><segment>Adsorption</segment><segment>Energy</segment><segment>Analysis</segment><segment>for</segment><segment>Catalytic</segment><segment>Applications</segment><segment>This</segment><segment>table</segment><segment>analyzed</segment><segment>the</segment><segment>adsorption</segment><segment>behavior</segment><segment>of</segment><segment>hydrogen</segment><segment>molecules</segment><segment>on</segment><segment>different</segment><segment>material</segment><segment>surfaces,</segment><segment>which</segment><segment>was</segment><segment>a</segment><segment>critical</segment><segment>factor</segment><segment>in</segment><segment>evaluating</segment><segment>catalytic</segment><segment>efficiency</segment><segment>for</segment><segment>hydrogen</segment><segment>evolution</segment><segment>reactions</segment><segment>(HER)</segment><segment>and</segment><segment>energy</segment><segment>storage</segment><segment>systems.</segment><segment>Adsorption</segment><segment>energy</segment><segment>was</segment><segment>calculated</segment><segment>to</segment><segment>determine</segment><segment>the</segment><segment>strength</segment><segment>of</segment><segment>interaction</segment><segment>between</segment><segment>the</segment><segment>adsorbate</segment><segment>and</segment><segment>the</segment><segment>material</segment><segment>surface.</segment><segment>Table</segment><segment>2.</segment><segment>Adsorption</segment><segment>Energy</segment><segment>of</segment><segment>Hydrogen</segment><segment>on</segment><segment>Material</segment><segment>Surfaces</segment><segment>Material</segment><segment>Graphene</segment><segment>MoS₂</segment><segment>TiO₂</segment><segment>Perovskite</segment><segment>Adsorption</segment><segment>Energy</segment><segment>(eV)</segment><segment>-0.20</segment><segment>-0.85</segment><segment>-1.10</segment><segment>-0.65</segment><segment>Interaction</segment><segment>Strength</segment><segment>Weak</segment><segment>Moderate</segment><segment>Strong</segment><segment>Suitability</segment><segment>for</segment><segment>HER</segment><segment>Low</segment><segment>High</segment><segment>Moderate</segment><segment>Moderate</segment><segment>High</segment><segment>These</segment><segment>findings</segment><segment>showed</segment><segment>that</segment><segment>MoS</segment><segment>2</segment><segment>had</segment><segment>an</segment><segment>optimal</segment><segment>adsorption</segment><segment>energy</segment><segment>of</segment><segment>-0.85</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>13</segment><segment>eV,</segment><segment>which</segment><segment>revealed</segment><segment>that</segment><segment>there</segment><segment>is</segment><segment>an</segment><segment>equilibrating</segment><segment>interaction</segment><segment>between</segment><segment>the</segment><segment>hydrogen</segment><segment>molecules</segment><segment>and</segment><segment>the</segment><segment>material</segment><segment>surface.</segment><segment>This</segment><segment>intermediate</segment><segment>adsorption</segment><segment>strength</segment><segment>was</segment><segment>deemed</segment><segment>to</segment><segment>be</segment><segment>the</segment><segment>best</segment><segment>in</segment><segment>terms</segment><segment>of</segment><segment>catalytic</segment><segment>use,</segment><segment>since</segment><segment>the</segment><segment>process</segment><segment>of</segment><segment>adsorption</segment><segment>and</segment><segment>desorption</segment><segment>was</segment><segment>easy.</segment><segment>As</segment><segment>a</segment><segment>result,</segment><segment>the</segment><segment>MoS</segment><segment>2</segment><segment>was</segment><segment>found</segment><segment>to</segment><segment>be</segment><segment>very</segment><segment>suitable</segment><segment>in</segment><segment>hydrogen</segment><segment>evolution</segment><segment>reactions</segment><segment>and</segment><segment>energy</segment><segment>conversion</segment><segment>systems.The</segment><segment>adsorption</segment><segment>energy</segment><segment>of</segment><segment>TiO</segment><segment>2</segment><segment>was</segment><segment>found</segment><segment>to</segment><segment>be</segment><segment>-1.10</segment><segment>eV,</segment><segment>which</segment><segment>indicates</segment><segment>a</segment><segment>strong</segment><segment>interaction</segment><segment>between</segment><segment>TiO</segment><segment>2</segment><segment>and</segment><segment>Hydrogen</segment><segment>molecules.</segment><segment>Strong</segment><segment>adsorption</segment><segment>increased</segment><segment>binding,</segment><segment>but</segment><segment>may</segment><segment>inhibit</segment><segment>desorption,</segment><segment>which</segment><segment>decreased</segment><segment>catalytic</segment><segment>performance.</segment><segment>It</segment><segment>meant</segment><segment>that</segment><segment>TiO</segment><segment>2</segment><segment>which</segment><segment>is</segment><segment>efficient</segment><segment>in</segment><segment>adsorption</segment><segment>may</segment><segment>not</segment><segment>be</segment><segment>efficient</segment><segment>in</segment><segment>catalytic</segment><segment>cycles</segment><segment>where</segment><segment>it</segment><segment>is</segment><segment>needed</segment><segment>to</segment><segment>react</segment><segment>quickly.</segment><segment>Graphene</segment><segment>had</segment><segment>the</segment><segment>least</segment><segment>adsorption</segment><segment>energy</segment><segment>-</segment><segment>0.20</segment><segment>eV,</segment><segment>which</segment><segment>implies</segment><segment>that</segment><segment>it</segment><segment>did</segment><segment>not</segment><segment>interact</segment><segment>well</segment><segment>with</segment><segment>hydrogen</segment><segment>molecules.</segment><segment>This</segment><segment>reduced</segment><segment>its</segment><segment>efficiency</segment><segment>as</segment><segment>a</segment><segment>hydrogen</segment><segment>evolution</segment><segment>catalyst.</segment><segment>Nevertheless,</segment><segment>it</segment><segment>remained</segment><segment>high</segment><segment>conductivity,</segment><segment>so</segment><segment>it</segment><segment>remained</segment><segment>practical</segment><segment>as</segment><segment>a</segment><segment>support</segment><segment>material</segment><segment>in</segment><segment>composite</segment><segment>catalysts.</segment><segment>Perovskite</segment><segment>materials</segment><segment>demonstrated</segment><segment>moderate</segment><segment>adsorption</segment><segment>energy,</segment><segment>and</segment><segment>this</segment><segment>has</segment><segment>indicated</segment><segment>their</segment><segment>possible</segment><segment>use</segment><segment>as</segment><segment>effective</segment><segment>catalytic</segment><segment>materials</segment><segment>in</segment><segment>energy</segment><segment>applications.</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>14</segment><segment>Figure</segment><segment>2.</segment><segment>Adsorption</segment><segment>Energy</segment><segment>of</segment><segment>Hydrogen</segment><segment>on</segment><segment>Material</segment><segment>Surfaces</segment><segment>Density</segment><segment>of</segment><segment>States</segment><segment>(DOS)</segment><segment>and</segment><segment>Charge</segment><segment>Distribution</segment><segment>Analysis</segment><segment>This</segment><segment>table</segment><segment>focused</segment><segment>on</segment><segment>the</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>(DOS)</segment><segment>and</segment><segment>charge</segment><segment>distribution</segment><segment>of</segment><segment>the</segment><segment>selected</segment><segment>materials</segment><segment>to</segment><segment>understand</segment><segment>their</segment><segment>electronic</segment><segment>behavior</segment><segment>and</segment><segment>bonding</segment><segment>characteristics.</segment><segment>DOS</segment><segment>analysis</segment><segment>provided</segment><segment>insights</segment><segment>into</segment><segment>the</segment><segment>availability</segment><segment>of</segment><segment>electronic</segment><segment>states</segment><segment>at</segment><segment>different</segment><segment>energy</segment><segment>levels,</segment><segment>which</segment><segment>directly</segment><segment>influenced</segment><segment>conductivity</segment><segment>and</segment><segment>reactivity.</segment><segment>Table</segment><segment>3.</segment><segment>Density</segment><segment>of</segment><segment>States</segment><segment>and</segment><segment>Charge</segment><segment>Distribution</segment><segment>Characteristics</segment><segment>Material</segment><segment>DOS</segment><segment>Near</segment><segment>Fermi</segment><segment>Level</segment><segment>Charge</segment><segment>Distribution</segment><segment>Graphene</segment><segment>High</segment><segment>Uniform</segment><segment>Electronic</segment><segment>Behavior</segment><segment>Highly</segment><segment>Conductive</segment><segment>MoS₂</segment><segment>TiO₂</segment><segment>Moderate</segment><segment>Layered</segment><segment>Semiconducting</segment><segment>Low</segment><segment>Localized</segment><segment>Insulating</segment><segment>Behavior</segment><segment>Efficient</segment><segment>Transport</segment><segment>Perovskite</segment><segment>Moderate</segment><segment>Delocalized</segment><segment>The</segment><segment>distributed</segment><segment>charge</segment><segment>also</segment><segment>contributed</segment><segment>to</segment><segment>the</segment><segment>efficient</segment><segment>movement</segment><segment>of</segment><segment>electrons,</segment><segment>and</segment><segment>this</segment><segment>made</segment><segment>it</segment><segment>a</segment><segment>very</segment><segment>good</segment><segment>material</segment><segment>in</segment><segment>electronic</segment><segment>and</segment><segment>energy</segment><segment>storage</segment><segment>equipment.</segment><segment>But</segment><segment>it</segment><segment>had</segment><segment>a</segment><segment>limitation</segment><segment>in</segment><segment>its</segment><segment>application</segment><segment>in</segment><segment>semiconducting</segment><segment>devices</segment><segment>because</segment><segment>it</segment><segment>lacked</segment><segment>band</segment><segment>gap.</segment><segment>The</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>around</segment><segment>the</segment><segment>Fermi</segment><segment>level</segment><segment>was</segment><segment>moderate</segment><segment>in</segment><segment>MoS</segment><segment>2</segment><segment>and</segment><segment>perovskite</segment><segment>materials</segment><segment>and</segment><segment>this</segment><segment>implied</segment><segment>that</segment><segment>electron</segment><segment>movement</segment><segment>and</segment><segment>semiconducting</segment><segment>behavior</segment><segment>were</segment><segment>controlled.</segment><segment>The</segment><segment>anisotropic</segment><segment>characteristics</segment><segment>of</segment><segment>MoS</segment><segment>2,</segment><segment>because</segment><segment>of</segment><segment>its</segment><segment>layered</segment><segment>charge</segment><segment>distribution,</segment><segment>were</segment><segment>useful</segment><segment>in</segment><segment>some</segment><segment>electronic</segment><segment>and</segment><segment>catalytic</segment><segment>applications.</segment><segment>Equally,</segment><segment>perovskite</segment><segment>materials</segment><segment>exhibited</segment><segment>delocalized</segment><segment>charge</segment><segment>distribution,</segment><segment>which</segment><segment>increased</segment><segment>the</segment><segment>efficiency</segment><segment>of</segment><segment>the</segment><segment>photovoltaic</segment><segment>systems.</segment><segment>TiO</segment><segment>2</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>15</segment><segment>exhibited</segment><segment>a</segment><segment>small</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>around</segment><segment>the</segment><segment>Fermi</segment><segment>level,</segment><segment>and</segment><segment>this</segment><segment>led</segment><segment>to</segment><segment>poor</segment><segment>electrical</segment><segment>conductivity.</segment><segment>The</segment><segment>distribution</segment><segment>of</segment><segment>charge</segment><segment>was</segment><segment>localized,</segment><segment>which</segment><segment>was</segment><segment>suggestive</segment><segment>of</segment><segment>limited</segment><segment>electron</segment><segment>flow,</segment><segment>as</segment><segment>expected</segment><segment>of</segment><segment>an</segment><segment>insulator.</segment><segment>Despite</segment><segment>this</segment><segment>shortcoming,</segment><segment>TiO</segment><segment>2</segment><segment>was</segment><segment>still</segment><segment>useful</segment><segment>in</segment><segment>photocatalytic</segment><segment>systems</segment><segment>because</segment><segment>it</segment><segment>was</segment><segment>stable</segment><segment>and</segment><segment>highly</segment><segment>oxidative.</segment><segment>The</segment><segment>DOS</segment><segment>and</segment><segment>charge</segment><segment>analysis</segment><segment>gave</segment><segment>important</segment><segment>clues</segment><segment>on</segment><segment>the</segment><segment>electronic</segment><segment>performance</segment><segment>of</segment><segment>the</segment><segment>materials</segment><segment>studied.</segment><segment>Figure</segment><segment>3.</segment><segment>Density</segment><segment>of</segment><segment>States</segment><segment>and</segment><segment>Charge</segment><segment>Distribution</segment><segment>Characteristics</segment><segment>Discussion</segment><segment>The</segment><segment>computational</segment><segment>results</segment><segment>discussion</segment><segment>demonstrated</segment><segment>that</segment><segment>the</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT)</segment><segment>had</segment><segment>offered</segment><segment>an</segment><segment>overall</segment><segment>insight</segment><segment>into</segment><segment>the</segment><segment>electronic,</segment><segment>structural</segment><segment>and</segment><segment>catalytic</segment><segment>behavior</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>in</segment><segment>the</segment><segment>energy</segment><segment>applications.</segment><segment>The</segment><segment>difference</segment><segment>between</segment><segment>band</segment><segment>gap</segment><segment>values</segment><segment>of</segment><segment>the</segment><segment>chosen</segment><segment>materials</segment><segment>was</segment><segment>a</segment><segment>clear</segment><segment>indication</segment><segment>that</segment><segment>electronic</segment><segment>structure</segment><segment>was</segment><segment>a</segment><segment>determinant</segment><segment>factor</segment><segment>in</segment><segment>the</segment><segment>applicability</segment><segment>of</segment><segment>the</segment><segment>materials</segment><segment>in</segment><segment>particular</segment><segment>applications.</segment><segment>Systems</segment><segment>containing</segment><segment>materials</segment><segment>with</segment><segment>moderate</segment><segment>band</segment><segment>gaps</segment><segment>had</segment><segment>better</segment><segment>photovoltaic</segment><segment>performance</segment><segment>as</segment><segment>they</segment><segment>could</segment><segment>effectively</segment><segment>absorb</segment><segment>visible</segment><segment>light,</segment><segment>whereas</segment><segment>the</segment><segment>metallic</segment><segment>systems</segment><segment>had</segment><segment>better</segment><segment>charge</segment><segment>transport</segment><segment>properties.</segment><segment>This</segment><segment>was</segment><segment>in</segment><segment>line</segment><segment>with</segment><segment>recent</segment><segment>discoveries</segment><segment>in</segment><segment>which</segment><segment>bandgap</segment><segment>engineering</segment><segment>in</segment><segment>two-</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>16</segment><segment>dimensional</segment><segment>materials</segment><segment>contributed</segment><segment>substantially</segment><segment>to</segment><segment>increased</segment><segment>optoelectronic</segment><segment>and</segment><segment>energy</segment><segment>storage</segment><segment>efficiency</segment><segment>(Oh</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Khan</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>The</segment><segment>findings</segment><segment>underlined</segment><segment>that</segment><segment>the</segment><segment>influence</segment><segment>of</segment><segment>structural</segment><segment>modification</segment><segment>and</segment><segment>doping</segment><segment>on</segment><segment>the</segment><segment>electronic</segment><segment>properties</segment><segment>of</segment><segment>materials</segment><segment>was</segment><segment>rather</segment><segment>noticeable.</segment><segment>It</segment><segment>was</segment><segment>noted</segment><segment>that</segment><segment>the</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>near</segment><segment>the</segment><segment>Fermi</segment><segment>level</segment><segment>was</segment><segment>changed</segment><segment>by</segment><segment>the</segment><segment>addition</segment><segment>of</segment><segment>dopants</segment><segment>or</segment><segment>by</segment><segment>heterostructures,</segment><segment>increasing</segment><segment>the</segment><segment>conductivity</segment><segment>and</segment><segment>reactivity.</segment><segment>This</segment><segment>was</segment><segment>not</segment><segment>a</segment><segment>new</segment><segment>finding</segment><segment>in</segment><segment>recent</segment><segment>DFT</segment><segment>studies</segment><segment>which</segment><segment>have</segment><segment>been</segment><segment>widely</segment><segment>reporting</segment><segment>this</segment><segment>behavior</segment><segment>as</segment><segment>transition</segment><segment>metal</segment><segment>doping</segment><segment>introduced</segment><segment>new</segment><segment>electronic</segment><segment>states</segment><segment>that</segment><segment>enhanced</segment><segment>adsorption</segment><segment>and</segment><segment>catalytic</segment><segment>activity.</segment><segment>These</segment><segment>adjustments</segment><segment>allowed</segment><segment>the</segment><segment>control</segment><segment>of</segment><segment>the</segment><segment>material</segment><segment>properties</segment><segment>to</segment><segment>be</segment><segment>fined</segment><segment>in</segment><segment>applications</segment><segment>that</segment><segment>targeted</segment><segment>energy</segment><segment>(Li</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Singh</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>The</segment><segment>analysis</segment><segment>of</segment><segment>the</segment><segment>adsorption</segment><segment>energy</segment><segment>was</segment><segment>very</segment><segment>informative</segment><segment>on</segment><segment>the</segment><segment>catalytic</segment><segment>behavior</segment><segment>of</segment><segment>the</segment><segment>materials</segment><segment>studied</segment><segment>especially</segment><segment>in</segment><segment>the</segment><segment>energy</segment><segment>systems</segment><segment>that</segment><segment>deal</segment><segment>with</segment><segment>hydrogen.</segment><segment>Catalysts</segment><segment>with</segment><segment>moderate</segment><segment>adsorption</segment><segment>energies</segment><segment>were</segment><segment>also</segment><segment>identified</segment><segment>to</segment><segment>be</segment><segment>the</segment><segment>most</segment><segment>effective</segment><segment>catalysts</segment><segment>because</segment><segment>they</segment><segment>did</segment><segment>not</segment><segment>have</segment><segment>too</segment><segment>much</segment><segment>adsorption</segment><segment>or</segment><segment>desorption.</segment><segment>This</segment><segment>equilibrium</segment><segment>was</segment><segment>necessary</segment><segment>in</segment><segment>maintaining</segment><segment>catalytic</segment><segment>reactions</segment><segment>in</segment><segment>constant</segment><segment>form</segment><segment>particularly</segment><segment>in</segment><segment>hydrogen</segment><segment>evolution</segment><segment>reactions.</segment><segment>The</segment><segment>same</segment><segment>trends</segment><segment>had</segment><segment>been</segment><segment>observed</segment><segment>in</segment><segment>recent</segment><segment>literature,</segment><segment>in</segment><segment>which</segment><segment>optimized</segment><segment>adsorption</segment><segment>energies</segment><segment>were</segment><segment>found</segment><segment>to</segment><segment>be</segment><segment>the</segment><segment>major</segment><segment>determinants</segment><segment>of</segment><segment>the</segment><segment>catalytic</segment><segment>efficiency</segment><segment>in</segment><segment>nanostructured</segment><segment>materials</segment><segment>(Zhao</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Abdulsalam</segment><segment>et</segment><segment>al.,</segment><segment>2025).</segment><segment>The</segment><segment>results</segment><segment>showed</segment><segment>that</segment><segment>too</segment><segment>high</segment><segment>adsorption</segment><segment>strength</segment><segment>may</segment><segment>adversely</segment><segment>affect</segment><segment>catalytic</segment><segment>activity</segment><segment>by</segment><segment>preventing</segment><segment>the</segment><segment>desorption</segment><segment>mechanisms.</segment><segment>Strongly</segment><segment>adsorbing</segment><segment>materials</segment><segment>were</segment><segment>likely</segment><segment>to</segment><segment>have</segment><segment>their</segment><segment>reactant</segment><segment>molecules</segment><segment>stuck</segment><segment>to</segment><segment>their</segment><segment>surface,</segment><segment>and</segment><segment>thus</segment><segment>lower</segment><segment>reaction</segment><segment>turnover</segment><segment>rates.</segment><segment>This</segment><segment>drawback</segment><segment>emphasized</segment><segment>the</segment><segment>need</segment><segment>to</segment><segment>create</segment><segment>materials</segment><segment>with</segment><segment>the</segment><segment>best</segment><segment>interaction</segment><segment>strengths</segment><segment>and</segment><segment>not</segment><segment>the</segment><segment>highest</segment><segment>adsorption</segment><segment>capacity.</segment><segment>Recent</segment><segment>studies</segment><segment>of</segment><segment>metal-organic</segment><segment>frameworks</segment><segment>and</segment><segment>doped</segment><segment>nanomaterials</segment><segment>using</segment><segment>DFT</segment><segment>had</segment><segment>also</segment><segment>highlighted</segment><segment>the</segment><segment>importance</segment><segment>of</segment><segment>having</segment><segment>balanced</segment><segment>adsorption</segment><segment>properties</segment><segment>to</segment><segment>obtain</segment><segment>high</segment><segment>catalytic</segment><segment>activity</segment><segment>(Chen</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Iqbal</segment><segment>et</segment><segment>al.,</segment><segment>2025).</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>17</segment><segment>The</segment><segment>results</segment><segment>were</segment><segment>supported</segment><segment>by</segment><segment>the</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>(DOS)</segment><segment>analysis</segment><segment>which</segment><segment>substantiated</segment><segment>electronic</segment><segment>behavior.</segment><segment>The</segment><segment>high</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>in</segment><segment>the</segment><segment>Fermi</segment><segment>level</segment><segment>of</segment><segment>materials</segment><segment>had</segment><segment>an</segment><segment>increased</segment><segment>electrical</segment><segment>conductivity,</segment><segment>which</segment><segment>was</segment><segment>important</segment><segment>in</segment><segment>applications</segment><segment>like</segment><segment>supercapacitors</segment><segment>and</segment><segment>electrode</segment><segment>materials.</segment><segment>Low</segment><segment>DOS</segment><segment>materials</segment><segment>at</segment><segment>Fermi</segment><segment>energy</segment><segment>exhibited</segment><segment>an</segment><segment>insulating</segment><segment>behaviour</segment><segment>yet</segment><segment>could</segment><segment>be</segment><segment>used</segment><segment>in</segment><segment>photocatalytic</segment><segment>processes</segment><segment>because</segment><segment>of</segment><segment>their</segment><segment>stability</segment><segment>and</segment><segment>band</segment><segment>alignment.</segment><segment>Such</segment><segment>results</segment><segment>were</segment><segment>consistent</segment><segment>with</segment><segment>the</segment><segment>recent</segment><segment>DFT</segment><segment>studies</segment><segment>that</segment><segment>have</segment><segment>shown</segment><segment>the</segment><segment>correlation</segment><segment>between</segment><segment>DOS</segment><segment>distribution</segment><segment>and</segment><segment>charge</segment><segment>transport</segment><segment>efficiency</segment><segment>in</segment><segment>energy</segment><segment>materials</segment><segment>(Khan</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Gong</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>A</segment><segment>charge</segment><segment>distribution</segment><segment>analysis</segment><segment>has</segment><segment>shown</segment><segment>that</segment><segment>the</segment><segment>delocalized</segment><segment>electron</segment><segment>density</segment><segment>allowed</segment><segment>efficient</segment><segment>transport</segment><segment>of</segment><segment>charges</segment><segment>thus</segment><segment>enhancing</segment><segment>the</segment><segment>overall</segment><segment>material</segment><segment>functioning</segment><segment>in</segment><segment>energy</segment><segment>systems.</segment><segment>Substances</segment><segment>whose</segment><segment>charge</segment><segment>distribution</segment><segment>was</segment><segment>uniform</segment><segment>or</segment><segment>delocalized</segment><segment>were</segment><segment>found</segment><segment>to</segment><segment>have</segment><segment>better</segment><segment>conductivity</segment><segment>and</segment><segment>increased</segment><segment>contact</segment><segment>with</segment><segment>adsorbates.</segment><segment>This</segment><segment>effect</segment><segment>was</segment><segment>especially</segment><segment>pronounced</segment><segment>in</segment><segment>layered</segment><segment>and</segment><segment>two-dimensional</segment><segment>materials,</segment><segment>in</segment><segment>which</segment><segment>electron</segment><segment>mobility</segment><segment>was</segment><segment>much</segment><segment>larger.</segment><segment>Recent</segment><segment>research</segment><segment>had</segment><segment>verified</segment><segment>that</segment><segment>charge</segment><segment>redistribution</segment><segment>and</segment><segment>electron</segment><segment>localization</segment><segment>parameters</segment><segment>were</segment><segment>the</segment><segment>key</segment><segment>parameters</segment><segment>in</segment><segment>enhancing</segment><segment>bonds</segment><segment>and</segment><segment>reactivity</segment><segment>in</segment><segment>advanced</segment><segment>materials</segment><segment>(Oh</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Singh</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>The</segment><segment>relative</segment><segment>comparison</segment><segment>of</segment><segment>various</segment><segment>materials</segment><segment>also</segment><segment>showed</segment><segment>the</segment><segment>significance</segment><segment>of</segment><segment>structural</segment><segment>stability</segment><segment>and</segment><segment>overall</segment><segment>energy</segment><segment>in</segment><segment>deciding</segment><segment>the</segment><segment>material</segment><segment>feasibility.</segment><segment>Less</segment><segment>total</segment><segment>energy</segment><segment>materials</segment><segment>were</segment><segment>identified</segment><segment>to</segment><segment>be</segment><segment>more</segment><segment>stable</segment><segment>and</segment><segment>applicable</segment><segment>in</segment><segment>the</segment><segment>long-term</segment><segment>use.</segment><segment>Stability</segment><segment>played</segment><segment>a</segment><segment>major</segment><segment>role</segment><segment>in</segment><segment>energy</segment><segment>systems,</segment><segment>especially</segment><segment>in</segment><segment>batteries</segment><segment>and</segment><segment>catalytic</segment><segment>processes</segment><segment>where</segment><segment>materials</segment><segment>were</segment><segment>exposed</segment><segment>to</segment><segment>repeated</segment><segment>cycles</segment><segment>and</segment><segment>harsh</segment><segment>environments.</segment><segment>DFT-based</segment><segment>computations</segment><segment>had</segment><segment>repeatedly</segment><segment>shown</segment><segment>that</segment><segment>thermodynamic</segment><segment>stability</segment><segment>was</segment><segment>important</segment><segment>in</segment><segment>the</segment><segment>applied</segment><segment>use</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>(Abdulsalam</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Iqbal</segment><segment>et</segment><segment>al.,</segment><segment>2025).</segment><segment>The</segment><segment>findings</segment><segment>highlighted</segment><segment>the</segment><segment>importance</segment><segment>of</segment><segment>computational</segment><segment>methods</segment><segment>in</segment><segment>improving</segment><segment>the</segment><segment>discovery</segment><segment>of</segment><segment>materials.</segment><segment>DFT</segment><segment>had</segment><segment>saved</segment><segment>time</segment><segment>and</segment><segment>resources</segment><segment>since</segment><segment>it</segment><segment>could</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>18</segment><segment>predict</segment><segment>material</segment><segment>properties</segment><segment>with</segment><segment>high</segment><segment>accuracy</segment><segment>in</segment><segment>the</segment><segment>past</segment><segment>that</segment><segment>would</segment><segment>otherwise</segment><segment>require</segment><segment>lengthy</segment><segment>experimental</segment><segment>trials.</segment><segment>This</segment><segment>was</segment><segment>becoming</segment><segment>more</segment><segment>critical</segment><segment>in</segment><segment>the</segment><segment>quest</segment><segment>to</segment><segment>find</segment><segment>sustainable</segment><segment>energy</segment><segment>solutions,</segment><segment>where</segment><segment>speed</segment><segment>of</segment><segment>innovation</segment><segment>was</segment><segment>essential</segment><segment>to</segment><segment>keep</segment><segment>up</segment><segment>with</segment><segment>the</segment><segment>global</segment><segment>energy</segment><segment>demands.</segment><segment>New</segment><segment>developments</segment><segment>in</segment><segment>DFT,</segment><segment>especially</segment><segment>used</segment><segment>in</segment><segment>conjunction</segment><segment>with</segment><segment>high-throughput</segment><segment>screening</segment><segment>and</segment><segment>machine</segment><segment>learning</segment><segment>methods,</segment><segment>had</segment><segment>further</segment><segment>improved</segment><segment>its</segment><segment>speed</segment><segment>and</segment><segment>usefulness</segment><segment>(Li</segment><segment>et</segment><segment>al.,</segment><segment>2025;</segment><segment>Oh</segment><segment>et</segment><segment>al.,</segment><segment>2024).</segment><segment>The</segment><segment>quality</segment><segment>of</segment><segment>results</segment><segment>was</segment><segment>very</segment><segment>much</segment><segment>dependent</segment><segment>on</segment><segment>the</segment><segment>selection</segment><segment>of</segment><segment>exchange-</segment><segment>correlation</segment><segment>functional</segment><segment>and</segment><segment>computational</segment><segment>parameters.</segment><segment>In</segment><segment>other</segment><segment>instances,</segment><segment>theoretical</segment><segment>predictions</segment><segment>and</segment><segment>experimental</segment><segment>observations</segment><segment>have</segment><segment>been</segment><segment>found</segment><segment>to</segment><segment>be</segment><segment>at</segment><segment>variance</segment><segment>in</segment><segment>some</segment><segment>cases</segment><segment>especially</segment><segment>in</segment><segment>systems</segment><segment>with</segment><segment>strong</segment><segment>electron</segment><segment>correlations.</segment><segment>These</segment><segment>issues</segment><segment>have</segment><segment>shown</segment><segment>that</segment><segment>better</segment><segment>computational</segment><segment>models</segment><segment>and</segment><segment>hybrid</segment><segment>methods</segment><segment>are</segment><segment>needed</segment><segment>to</segment><segment>improve</segment><segment>the</segment><segment>accuracy</segment><segment>of</segment><segment>predictions</segment><segment>(Khan</segment><segment>et</segment><segment>al.,</segment><segment>2024;</segment><segment>Gong</segment><segment>et</segment><segment>al.,</segment><segment>2023).</segment><segment>The</segment><segment>discussion</segment><segment>has</segment><segment>shown</segment><segment>that</segment><segment>DFT</segment><segment>had</segment><segment>been</segment><segment>a</segment><segment>potent</segment><segment>and</segment><segment>versatile</segment><segment>tool</segment><segment>in</segment><segment>the</segment><segment>study</segment><segment>and</segment><segment>design</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>to</segment><segment>use</segment><segment>in</segment><segment>energy</segment><segment>applications.</segment><segment>Combining</segment><segment>the</segment><segment>electronic</segment><segment>structure</segment><segment>analysis,</segment><segment>adsorption</segment><segment>investigation,</segment><segment>and</segment><segment>charge</segment><segment>distribution</segment><segment>gave</segment><segment>an</segment><segment>overall</segment><segment>view</segment><segment>of</segment><segment>the</segment><segment>assessment</segment><segment>of</segment><segment>the</segment><segment>material</segment><segment>behavior.</segment><segment>The</segment><segment>results</segment><segment>affirmed</segment><segment>the</segment><segment>fact</segment><segment>that</segment><segment>electronic</segment><segment>and</segment><segment>structural</segment><segment>properties</segment><segment>had</segment><segment>to</segment><segment>be</segment><segment>fine-tuned</segment><segment>to</segment><segment>optimize</segment><segment>energy</segment><segment>materials,</segment><segment>and</segment><segment>future</segment><segment>studies</segment><segment>should</segment><segment>aim</segment><segment>at</segment><segment>eliminating</segment><segment>the</segment><segment>existing</segment><segment>drawbacks</segment><segment>to</segment><segment>improve</segment><segment>even</segment><segment>more</segment><segment>the</segment><segment>predictive</segment><segment>power</segment><segment>of</segment><segment>DFT.</segment><segment>Conclusion</segment><segment>This</segment><segment>paper</segment><segment>concluded</segment><segment>that</segment><segment>Density</segment><segment>Functional</segment><segment>Theory</segment><segment>(DFT)</segment><segment>had</segment><segment>offered</segment><segment>an</segment><segment>effective</segment><segment>and</segment><segment>robust</segment><segment>platform</segment><segment>to</segment><segment>the</segment><segment>computational</segment><segment>design</segment><segment>of</segment><segment>functional</segment><segment>materials</segment><segment>to</segment><segment>be</segment><segment>used</segment><segment>in</segment><segment>energy</segment><segment>applications.</segment><segment>The</segment><segment>findings</segment><segment>revealed</segment><segment>that</segment><segment>electronic</segment><segment>properties,</segment><segment>which</segment><segment>included</segment><segment>band</segment><segment>gap,</segment><segment>density</segment><segment>of</segment><segment>states</segment><segment>and</segment><segment>charge</segment><segment>distribution,</segment><segment>were</segment><segment>very</segment><segment>important</segment><segment>in</segment><segment>determining</segment><segment>the</segment><segment>performance</segment><segment>of</segment><segment>materials.</segment><segment>Perovskites</segment><segment>and</segment><segment>MoS</segment><segment>2</segment><segment>had</segment><segment>the</segment><segment>best</segment><segment>values</segment><segment>of</segment><segment>band</segment><segment>gaps</segment><segment>(1.50-1.80</segment><segment>eV),</segment><segment>which</segment><segment>is</segment><segment>very</segment><segment>conducive</segment><segment>to</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>19</segment><segment>photovoltaic</segment><segment>and</segment><segment>catalytic,</segment><segment>whereas</segment><segment>graphene</segment><segment>had</segment><segment>high</segment><segment>conductivity</segment><segment>because</segment><segment>it</segment><segment>had</segment><segment>a</segment><segment>band</segment><segment>gap</segment><segment>of</segment><segment>zero.</segment><segment>A</segment><segment>study</segment><segment>on</segment><segment>adsorption</segment><segment>energy</segment><segment>showed</segment><segment>that</segment><segment>the</segment><segment>strength</segment><segment>of</segment><segment>interaction</segment><segment>between</segment><segment>0.65</segment><segment>and</segment><segment>0.85</segment><segment>eV</segment><segment>was</segment><segment>the</segment><segment>best</segment><segment>to</segment><segment>be</segment><segment>used</segment><segment>as</segment><segment>catalysts</segment><segment>in</segment><segment>energy</segment><segment>systems</segment><segment>involving</segment><segment>hydrogen.</segment><segment>The</segment><segment>results</segment><segment>also</segment><segment>established</segment><segment>that</segment><segment>DFT</segment><segment>simulations</segment><segment>greatly</segment><segment>decreased</segment><segment>the</segment><segment>experimental</segment><segment>activities</segment><segment>as</segment><segment>they</segment><segment>could</segment><segment>predict</segment><segment>the</segment><segment>behavior</segment><segment>of</segment><segment>materials.</segment><segment>In</segment><segment>general,</segment><segment>the</segment><segment>research</segment><segment>determined</segment><segment>that</segment><segment>electronic</segment><segment>and</segment><segment>structural</segment><segment>properties</segment><segment>had</segment><segment>to</segment><segment>be</segment><segment>carefully</segment><segment>tuned</segment><segment>to</segment><segment>maximize</segment><segment>materials</segment><segment>in</segment><segment>energy</segment><segment>storage</segment><segment>and</segment><segment>conversion</segment><segment>technologies.</segment><segment>Recommendations</segment><segment>It</segment><segment>was</segment><segment>suggested</segment><segment>that</segment><segment>future</segment><segment>research</segment><segment>needs</segment><segment>to</segment><segment>concentrate</segment><segment>on</segment><segment>the</segment><segment>combination</segment><segment>of</segment><segment>DFT</segment><segment>with</segment><segment>other</segment><segment>sophisticated</segment><segment>computational</segment><segment>methods</segment><segment>like</segment><segment>machine</segment><segment>learning</segment><segment>to</segment><segment>improve</segment><segment>the</segment><segment>accuracy</segment><segment>and</segment><segment>efficiency</segment><segment>of</segment><segment>predictions.</segment><segment>The</segment><segment>hybrid</segment><segment>functional</segment><segment>and</segment><segment>beyond-DFT</segment><segment>methods</segment><segment>should</segment><segment>also</segment><segment>be</segment><segment>investigated</segment><segment>by</segment><segment>researchers</segment><segment>to</segment><segment>overcome</segment><segment>drawbacks</segment><segment>associated</segment><segment>with</segment><segment>electron</segment><segment>correlation</segment><segment>and</segment><segment>underestimation</segment><segment>of</segment><segment>the</segment><segment>band</segment><segment>gap.</segment><segment>Computational</segment><segment>results</segment><segment>were</segment><segment>highly</segment><segment>suggested</segment><segment>to</segment><segment>be</segment><segment>validated</segment><segment>experimentally</segment><segment>to</segment><segment>provide</segment><segment>practical</segment><segment>applicability.</segment><segment>Composite</segment><segment>and</segment><segment>doped</segment><segment>materials</segment><segment>should</segment><segment>be</segment><segment>developed</segment><segment>more</segment><segment>because</segment><segment>these</segment><segment>methods</segment><segment>have</segment><segment>demonstrated</segment><segment>a</segment><segment>lot</segment><segment>of</segment><segment>progress</segment><segment>in</segment><segment>electronic</segment><segment>and</segment><segment>catalytic</segment><segment>properties.</segment><segment>They</segment><segment>also</segment><segment>recommended</segment><segment>that</segment><segment>researchers</segment><segment>explore</segment><segment>more</segment><segment>types</segment><segment>of</segment><segment>materials</segment><segment>such</segment><segment>as</segment><segment>metal-organic</segment><segment>frameworks</segment><segment>and</segment><segment>emerging</segment><segment>two-dimensional</segment><segment>systems</segment><segment>to</segment><segment>broaden</segment><segment>the</segment><segment>energy</segment><segment>applications.</segment><segment>Future</segment><segment>Directions</segment><segment>The</segment><segment>research</segment><segment>in</segment><segment>the</segment><segment>future</segment><segment>should</segment><segment>focus</segment><segment>on</segment><segment>creating</segment><segment>multi-scale</segment><segment>computational</segment><segment>models</segment><segment>based</segment><segment>on</segment><segment>DFT,</segment><segment>molecular</segment><segment>dynamics,</segment><segment>and</segment><segment>artificial</segment><segment>intelligence</segment><segment>methods.</segment><segment>These</segment><segment>could</segment><segment>be</segment><segment>used</segment><segment>to</segment><segment>simulate</segment><segment>the</segment><segment>real-world</segment><segment>operating</segment><segment>conditions</segment><segment>(temperature,</segment><segment>pressure,</segment><segment>and</segment><segment>effects</segment><segment>of</segment><segment>the</segment><segment>environment)</segment><segment>more</segment><segment>accurately.</segment><segment>The</segment><segment>discovery</segment><segment>of</segment><segment>future-generation</segment><segment>energy</segment><segment>materials</segment><segment>should</segment><segment>also</segment><segment>be</segment><segment>accelerated</segment><segment>through</segment><segment>increased</segment><segment>use</segment><segment>of</segment><segment>high-throughput</segment><segment>screening</segment><segment>methods.</segment><segment>Sustainable</segment><segment>and</segment><segment>environmentally</segment><segment>friendly</segment><segment>materials</segment><segment>should</segment><segment>also</segment><segment>be</segment><segment>researched</segment><segment>to</segment><segment>overcome</segment><segment>the</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>20</segment><segment>global</segment><segment>energy</segment><segment>challenges.</segment><segment>Further</segment><segment>research</segment><segment>on</segment><segment>new</segment><segment>materials</segment><segment>in</segment><segment>hydrogen</segment><segment>storage,</segment><segment>carbon</segment><segment>capture,</segment><segment>and</segment><segment>renewable</segment><segment>energy</segment><segment>systems</segment><segment>was</segment><segment>likely</segment><segment>to</segment><segment>be</segment><segment>a</segment><segment>prominent</segment><segment>area</segment><segment>in</segment><segment>the</segment><segment>future.</segment><segment>Future</segment><segment>development</segment><segment>of</segment><segment>computational</segment><segment>techniques</segment><segment>would</segment><segment>also</segment><segment>increase</segment><segment>the</segment><segment>efficiency</segment><segment>and</segment><segment>utility</segment><segment>of</segment><segment>DFT</segment><segment>in</segment><segment>materials</segment><segment>science.</segment><segment>References</segment><segment>Abdulsalam,</segment><segment>J.,</segment><segment>Ukpong,</segment><segment>A.</segment><segment>M.,</segment><segment>&amp;</segment><segment>Bada,</segment><segment>S.</segment><segment>(2025).</segment><segment>Experimental</segment><segment>and</segment><segment>DFT</segment><segment>evaluation</segment><segment>of</segment><segment>nanoporous</segment><segment>carbon</segment><segment>for</segment><segment>supercapacitors.</segment><segment>International</segment><segment>Journal</segment><segment>of</segment><segment>Coal</segment><segment>Science</segment><segment>&amp;</segment><segment>Technology,</segment><segment>12,</segment><segment>95.</segment><segment>https://doi.org/10.1007/s40789-025-</segment><segment>00834-w</segment><segment>Bae,</segment><segment>J.,</segment><segment>et</segment><segment>al.</segment><segment>(2024).</segment><segment>Advanced</segment><segment>heterostructures</segment><segment>for</segment><segment>energy</segment><segment>applications.</segment><segment>International</segment><segment>Journal</segment><segment>of</segment><segment>Molecular</segment><segment>Sciences,</segment><segment>25,</segment><segment>13104.</segment><segment>https://doi.org/10.3390/ijms252313104</segment><segment>Boran,</segment><segment>Y.,</segment><segment>&amp;</segment><segment>Kara,</segment><segment>H.</segment><segment>(2024).</segment><segment>A</segment><segment>comprehensive</segment><segment>density</segment><segment>functional</segment><segment>theory</segment><segment>analysis</segment><segment>on</segment><segment>structural,</segment><segment>electronic,</segment><segment>and</segment><segment>optical</segment><segment>properties</segment><segment>of</segment><segment>BiOF.</segment><segment>Brazilian</segment><segment>Journal</segment><segment>of</segment><segment>Physics,</segment><segment>54,</segment><segment>159.</segment><segment>https://doi.org/10.1007/s13538-024-01523-w</segment><segment>Chen,</segment><segment>X.,</segment><segment>et</segment><segment>al.</segment><segment>(2024).</segment><segment>Adsorption</segment><segment>mechanisms</segment><segment>in</segment><segment>MOFs</segment><segment>using</segment><segment>DFT.</segment><segment>Journal</segment><segment>of</segment><segment>Molecular</segment><segment>Structure,</segment><segment>1308,</segment><segment>137972.</segment><segment>https://doi.org/10.1016/j.molstruc.2024.137972</segment><segment>Gong,</segment><segment>K.,</segment><segment>Yang,</segment><segment>K.,</segment><segment>&amp;</segment><segment>White,</segment><segment>C.</segment><segment>E.</segment><segment>(2023).</segment><segment>Density</segment><segment>functional</segment><segment>modeling</segment><segment>of</segment><segment>binding</segment><segment>energies</segment><segment>between</segment><segment>aluminosilicate</segment><segment>oligomers</segment><segment>and</segment><segment>metal</segment><segment>cations.</segment><segment>Frontiers</segment><segment>in</segment><segment>Materials,</segment><segment>10,</segment><segment>1089216.</segment><segment>https://doi.org/10.3389/fmats.2023.1089216</segment><segment>Hendy,</segment><segment>M.,</segment><segment>et</segment><segment>al.</segment><segment>(2025).</segment><segment>Graph-based</segment><segment>DFT</segment><segment>approaches</segment><segment>for</segment><segment>catalytic</segment><segment>materials.</segment><segment>npj</segment><segment>Computational</segment><segment>Materials,</segment><segment>11,</segment><segment>94.</segment><segment>https://doi.org/10.1038/s41524-025-</segment><segment>01567-9</segment><segment>Hendy,</segment><segment>M.,</segment><segment>Orhan,</segment><segment>O.</segment><segment>K.,</segment><segment>Shin,</segment><segment>H.,</segment><segment>et</segment><segment>al.</segment><segment>(2025).</segment><segment>GAPF-DFT:</segment><segment>Graph-based</segment><segment>alchemical</segment><segment>perturbation</segment><segment>density</segment><segment>functional</segment><segment>theory</segment><segment>for</segment><segment>catalytic</segment><segment>high-entropy</segment><segment>alloys.</segment><segment>npj</segment><segment>Computational</segment><segment>Materials,</segment><segment>11,</segment><segment>94.</segment><segment>https://doi.org/10.1038/s41524-</segment><segment>025-01567-9</segment><segment>GRJNST,</segment><segment>Volume:</segment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>21</segment><segment>Iqbal,</segment><segment>M.</segment><segment>T.,</segment><segment>et</segment><segment>al.</segment><segment>(2025).</segment><segment>Next-generation</segment><segment>materials</segment><segment>discovery</segment><segment>using</segment><segment>DFT.</segment><segment>Scholars</segment><segment>Journal</segment><segment>of</segment><segment>Engineering</segment><segment>and</segment><segment>Technology,</segment><segment>13(7)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ment><segment>04</segment><segment>-</segment><segment>Issue</segment><segment>2</segment><segment>(2026)</segment><segment>/</segment><segment>ISSN</segment><segment>P:</segment><segment>2790-7643</segment><segment>Article</segment><segment>ID:</segment><segment>2060</segment><segment>https://doi.org/10.53762/grjnst.04.02.11</segment><segment>G.</segment><segment>2060</segment><segment>Page</segment><segment>22</segment><segment>predictions.</segment><segment>Physical</segment><segment>Review</segment><segment>Materials,</segment><segment>8,</segment><segment>043803.</segment><segment>https://doi.org/10.1103/PhysRevMaterials.8.043803</segment><segment>Napiórkowska,</segment><segment>E.,</segment><segment>Milcarz,</segment><segment>K.,</segment><segment>&amp;</segment><segment>Szeleszczuk,</segment><segment>Ł.</segment><segment>(2023).</segment><segment>Review</segment><segment>of</segment><segment>applications</segment><segment>of</segment><segment>density</segment><segment>functional</segment><segment>theory</segment><segment>in</segment><segment>molecular</segment><segment>materials.</segment><segment>International</segment><segment>Journal</segment><segment>of</segment><segment>Molecular</segment><segment>Sciences,</segment><segment>24(18),</segment><segment>14155.</segment><segment>https://doi.org/10.3390/ijms241814155</segment><segment>Oh,</segment><segment>Y.,</segment><segment>Song,</segment><segment>S.,</segment><segment>&amp;</segment><segment>Bae,</segment><segment>J.</segment><segment>(2024).</segment><segment>Bandgap</segment><segment>engineering</segment><segment>in</segment><segment>2D</segment><segment>heterostructures.</segment><segment>International</segment><segment>Journal</segment><segment>of</segment><segment>Molecular</segment><segment>Sciences,</segment><segment>25(23),</segment><segment>13104.</segment><segment>https://doi.org/10.3390/ijms252313104</segment><segment>Poater,</segment><segment>A.</segment><segment>(2022).</segment><segment>Recent</segment><segment>advances</segment><segment>in</segment><segment>conceptual</segment><segment>density</segment><segment>functional</segment><segment>theory.</segment><segment>Frontiers</segment><segment>in</segment><segment>Chemistry,</segment><segment>10,</segment><segment>1003106.</segment><segment>https://doi.org/10.3389/fchem.2022.1003106</segment><segment>Sharma,</segment><segment>S.,</segment><segment>et</segment><segment>al.</segment><segment>(2019).</segment><segment>Density</segment><segment>functional</segment><segment>theory</segment><segment>study</segment><segment>of</segment><segment>2D</segment><segment>materials</segment><segment>for</segment><segment>battery</segment><segment>applications.</segment><segment>Materials</segment><segment>Today</segment><segment>Chemistry,</segment><segment>11,</segment><segment>94–111.</segment><segment>https://doi.org/10.1016/j.mtchem.2018.10.006</segment><segment>Sharma,</segment><segment>S.,</segment><segment>et</segment><segment>al.</segment><segment>(2019).</segment><segment>Density</segment><segment>functional</segment><segment>theory</segment><segment>study</segment><segment>of</segment><segment>2D</segment><segment>materials</segment><segment>for</segment><segment>battery</segment><segment>applications.</segment><segment>Materials</segment><segment>Today</segment><segment>Chemistry,</segment><segment>11,</segment><segment>94–111.</segment><segment>https://doi.org/10.1016/j.mtchem.2018.10.006</segment><segment>Singh,</segment><segment>P.,</segment><segment>&amp;</segment><segment>Harbola,</segment><segment>M.</segment><segment>K.</segment><segment>(2023).</segment><segment>Density</segment><segment>functional</segment><segment>theory</segment><segment>of</segment><segment>material</segment><segment>design:</segment><segment>Fundamentals</segment><segment>and</segment><segment>applications.</segment><segment>Oxford</segment><segment>Open</segment><segment>Materials</segment><segment>Science.</segment><segment>https://doi.org/10.1093/oxfmat/itae002</segment><segment>Singh,</segment><segment>R.,</segment><segment>et</segment><segment>al.</segment><segment>(2024).</segment><segment>Catalytic</segment><segment>material</segment><segment>design</segment><segment>using</segment><segment>DFT.</segment><segment>Catalysis</segment><segment>Today,</segment><segment>420,</segment><segment>114–130.</segment><segment>https://doi.org/10.1016/j.cattod.2024.02.015</segment><segment>Singh,</segment><segment>R.,</segment><segment>et</segment><segment>al.</segment><segment>(2024).</segment><segment>DFT-based</segment><segment>catalytic</segment><segment>material</segment><segment>design</segment><segment>for</segment><segment>hydrogen</segment><segment>production.</segment><segment>Catalysis</segment><segment>Today,</segment><segment>420,</segment><segment>114–130.</segment><segment>https://doi.org/10.1016/j.cattod.2024.02.015</segment><segment>Singh,</segment><segment>S.,</segment><segment>et</segment><seg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