Kaushki Khanna,
Darshpreet Singh,
Aryendra Singh,
Aditi Rai Agnihotri,
Usha Shukla,
- Research Scholar, Amity University Lucknow, Uttar Pradesh, India
- Research Scholar, Amity University Lucknow, Uttar Pradesh, India
- Research Scholar, Amity University Lucknow, Uttar Pradesh, India
- Research Scholar, Amity University Lucknow, Uttar Pradesh, India
- Research Scholar, Amity University Lucknow, Uttar Pradesh, India
Abstract
Density Functional Theory (DFT) has emerged as a cornerstone in computational chemistry and materials science, offering a powerful framework for predicting electronic structures and properties of atoms, molecules, and solids. By focusing on electron density rather than wave functions, DFT simplifies the many-body problem through approximations like the local density approximation (LDA) and generalized-gradient approximations (GGAs). The Hohenberg-Kohn theorems establish the theoretical foundation, proving that ground-state properties are uniquely determined by electron density. The Kohn-Sham equations further enable practical applications by mapping interacting systems to non-interacting counterparts. Despite its successes, DFT faces challenges, such as limitations in describing strongly correlated systems and the need for accurate exchange-correlation functionals. This study explores the fundamentals of DFT, including the Thomas-Fermi model and the Kohn-Sham approach, and highlights its applications in chemical reactivity, drug discovery, and catalysis. By bridging theory and computation, DFT continues to drive advancements in understanding and designing materials, though on-going research seeks to address its inherent approximations and expand its capabilities.
Keywords: Density functional theory (DFT), electronic structure, optical properties, first-principles calculations, material science, band gap engineering
[This article belongs to Journal of Microelectronics and Solid State Devices ]
Kaushki Khanna, Darshpreet Singh, Aryendra Singh, Aditi Rai Agnihotri, Usha Shukla. Density Functional Theory (DFT): Understanding and Quantifying Molecular Structure of 2-D Materials. Journal of Microelectronics and Solid State Devices. 2025; 12(02):33-40.
Kaushki Khanna, Darshpreet Singh, Aryendra Singh, Aditi Rai Agnihotri, Usha Shukla. Density Functional Theory (DFT): Understanding and Quantifying Molecular Structure of 2-D Materials. Journal of Microelectronics and Solid State Devices. 2025; 12(02):33-40. Available from: https://journals.stmjournals.com/jomsd/article=2025/view=215186
References
- Sholl DS, Steckel JA. Density functional theory: a practical introduction. John Wiley & Sons; 2022 Dec 15.
- Aamir M, Ashraf WS, Afzal D, Idrees F, Ahmad R. Fundamentals of Density Functional Theory: Recent Developments, Challenges and Future Horizons. In: Density Functional Theory: Recent Advances, New Perspectives and Applications. InTech Open; London, UK. 2022 May 18: 3.
- Burke K. Perspective on density functional theory. J Chem Phys. 2012 Apr 21; 136(15): 150901.
- Argaman N, Makov G. Density functional theory: An introduction. American Journal of Physics. 2000 Jan 1; 68(1): 69–79.
- Bretonnet JL. Basics of the density functional theory. AIMS Mater Sci. 2017; 4(6): 1372–405.
- Orio M, Pantazis DA, Neese F. Density functional theory. Photosynth Res. 2009 Dec; 102: 443–53.
- Yang J, Nagasaki S, Tsushima S, Yang TT. DFT study of Se (-II) sorption on biotite in reducing conditions. Radiochim Acta. 2025 May 6(0).
- Pandit M. First Principle Calculation of Electronic Structure. Doctoral dissertation, Master’s Thesis. Department of Physics and Astronomy. Rourkela: National Institute of Technology; 2016.
- Panneerselvam S, Choi S. Nanoinformatics: emerging databases and available tools. Int J Mol Sci. 2014 Apr 25; 15(5): 7158–82.
- Molinari LG. (10 October 2019). Hartree–Fock and Thomas-Fermi approximations [Online]. Notes for the course of Many Body Theory. Università degli Studi di Milano, Milan. Available from: http://wwwteor.mi.infn.it/~molinari/NOTES/hartree2.pdf.
- Solovej JP. A new look at Thomas–Fermi theory. Mol Phys. 2016 Apr 17; 114(7–8): 1036–40.
- Copeland A. Nonlinear Photonics in twisted and nonlocal structures. Dissertation. Texas, USA: Southern Methodist University; 2020.
- Tomishima Y, Yonei K. Solution of the Thomas-Fermi-Dirac equation with a modified Weizsäcker correction. J Phys Soc Jpn. 1966 Jan; 21(1): 142–53.
- Englisch H, Englisch R. Hohenberg-Kohn theorem and non-V-representable densities. Phys A: Stat Mech Appl. 1983 Aug 1; 121(1–2): 253–68.
- Seritan S, Thompson K, Martínez TJ. TeraChem Cloud: A high-performance computing service for scalable distributed GPU-accelerated electronic structure calculations. J Chem Inf Model. 2020 Apr 8; 60(4):2126–37.
- Agelastos A, Allan B, Brandt J, Cassella P, Enos J, Fullop J, et al. The lightweight distributed metric service: a scalable infrastructure for continuous monitoring of large scale computing systems and applications. SC ’14: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, New Orleans, LA, USA. 2024, Nov 16–21. 2014. p. 154–65. doi:10.1109/SC.2014.18.
- Annett JF. Efficiency of algorithms for Kohn-Sham density functional theory. Comput Mater Sci. 1995 May 1; 4(1): 23–42.
- Engel E. Density functional theory. Berlin: Springer-Verlag; 2011.
- Kohn W. Density functional theory. In: Introductory quantum mechanics with MATLAB: for atoms, molecules, clusters, and nanocrystals. 2019 Jan 4.
- Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory. Pure and Applied Analysis. 2019 Nov 9; 2(1): 35–73.
- Negele JW. Structure of finite nuclei in the local-density approximation. Phys Rev C. 1970 Apr 1; 1(4): 1260.
- Rong C, Wang B, Zhao D, Liu S. Information‐theoretic approach in density functional theory and its recent applications to chemical problems. Wiley Interdisciplinary Reviews: Computational Molecular Science. 2020 Jul; 10(4): e1461.
- Sharma P, Ranjan P, Chakraborty T. Applications of conceptual density functional theory in reference to quantitative structure–activity/property relationship. Molecular Physics. 2024 Dec 1; 122(23): e2331620.
- Guo , Wang , Liu H, Qiu , hang X, Xu Y, Langford J, un C. Defective D silicon hos hide monolayers for the nitrogen reduction reaction: a DF study. Nanoscale. ; 4( 5): 578 –93.

Journal of Microelectronics and Solid State Devices
| Volume | 12 |
| Issue | 02 |
| Received | 06/05/2025 |
| Accepted | 07/05/2025 |
| Published | 26/05/2025 |
| Publication Time | 20 Days |
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