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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| density functional theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1462698 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: density functional theory Context triple: [Pauli exclusion principle, usedIn, density functional theory]
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A.
Quantum Theory of Solids
Quantum Theory of Solids is a foundational physics text that systematically applies quantum mechanics to explain the electronic, thermal, and structural properties of crystalline solids.
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B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
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C.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
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D.
resonating valence bond theory
Resonating valence bond theory is a quantum mechanical model of electron pairing and spin correlations in strongly correlated materials, proposed to explain phenomena such as high-temperature superconductivity.
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E.
Born–Oppenheimer approximation
The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: density functional theory Target entity description: 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.
-
A.
Quantum Theory of Solids
Quantum Theory of Solids is a foundational physics text that systematically applies quantum mechanics to explain the electronic, thermal, and structural properties of crystalline solids.
-
B.
Eliashberg theory
Eliashberg theory is an extension of BCS superconductivity that incorporates strong-coupling and frequency-dependent effects to more accurately describe real superconducting materials.
-
C.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
-
D.
resonating valence bond theory
Resonating valence bond theory is a quantum mechanical model of electron pairing and spin correlations in strongly correlated materials, proposed to explain phenomena such as high-temperature superconductivity.
-
E.
Born–Oppenheimer approximation
The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.
- F. None of above. chosen
Statements (68)
| Predicate | Object |
|---|---|
| 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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Subject: density functional theory Description of subject: 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.
Referenced by (1)
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