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In functions with multiple variables, partial derivatives describe how a function changes with respect to one variable while keeping the others constant. A partial derivative is calculated from the ordinary derivative of the function with respect to the desired variable, while treating the other variables as constants. Consider the function z = f(x, y). The partial derivative of the function z with respect to x at constant y is written as (∂z/∂x)y, using 'curly d'. It...
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Development of New Density Functional Approximations.

Neil Qiang Su1,2,3,4, Xin Xu1,2,3,4

  • 1Collaborative Innovation Center of Chemistry for Energy Materials, Fudan University, Shanghai 200433, China;

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|February 23, 2017
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Summary
This summary is machine-generated.

Kohn-Sham density functional theory (KS-DFT) is a powerful tool, but practical use requires approximations. This study reviews the development and classification of density functional approximations (DFAs) for accurate electronic structure calculations.

Keywords:
density functional theoryexchange-correlation functionalmany-body interactions

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Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Materials science

Background:

  • Kohn-Sham density functional theory (KS-DFT) is a leading method for electronic structure calculations.
  • Practical KS-DFT relies on approximations for the exchange-correlation energy, known as density functional approximations (DFAs).

Purpose of the Study:

  • To review the philosophies and strategies behind developing DFAs.
  • To classify existing DFAs.

Main Methods:

  • Review of existing literature on DFA development.
  • Categorization of DFAs based on their construction and properties.

Main Results:

  • Discussion of various approaches to constructing DFAs.
  • A systematic classification of DFAs is presented.

Conclusions:

  • Understanding DFA development and classification is crucial for accurate electronic structure calculations.
  • This review provides a framework for navigating the landscape of DFAs.