density functional theory

E166680

Density functional theory is a quantum mechanical method for calculating the electronic structure and properties of many-body systems, widely used in physics, chemistry, and materials science.

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density functional theory canonical 1

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instanceOf ab initio method
computational chemistry method
electronic structure method
many-body theory
quantum mechanical method
advantage favorable balance between accuracy and computational cost
approximates exchange–correlation energy functional
awardedNobelPrizeTo Walter Kohn
basedOn electron density
computes band structure of solids
density of states
electron density distribution
forces on atoms
response properties
total energy of many-electron systems
vibrational frequencies
coreIdea all ground-state observables are functionals of the electron density
describes electronic structure of atoms
electronic structure of molecules
electronic structure of nanostructures
electronic structure of solids
electronic structure of surfaces
ground-state properties of many-electron systems
extendedBy Lu Jeu Sham
Walter Kohn
extendedInYear 1965
fieldOfStudy condensed matter physics
materials science
quantum chemistry
hasTheorem Hohenberg–Kohn theorem
Kohn–Sham equations
hasVariant current-density functional theory
finite-temperature density functional theory
spin-density functional theory
time-dependent density functional theory
implementedIn ABINIT
CASTEP
CP2K
Gaussian
NWChem
ORCA
Quantum ESPRESSO
SIESTA
VASP
WIEN2k
introducedBy Pierre Hohenberg
Walter Kohn
introducedInYear 1964
limitation approximate exchange–correlation functionals
difficulty describing strong correlation
self-interaction error
underestimation of band gaps with standard functionals
nobelPrizeCategory Chemistry
nobelPrizeYear 1998
solvedBy self-consistent field procedure
usedFor catalysis research
geometry optimization
materials design
molecular property prediction
solid-state physics calculations
spectroscopic property calculations
surface science studies
usesApproximationType generalized gradient approximation
hybrid functional
local density approximation
meta-GGA functional
range-separated hybrid functional
van der Waals density functional

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Pauli exclusion principle usedIn density functional theory