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Density functional theory: Applications, Art, Science & Products
Density functional theory (DFT) is a computational quantum mechanical modeling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases. Using this theory, the properties of a…
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Density functional theory topic overview
The analysis highlights Applications, Art, Science and Products as prominent areas in the source structure around Density functional theory.
Related topics
178
Source areas
11
Connected nodes
189
Extracted relationships
123
Concept neighborhoods
68
Bridge connections
189
What this topic covers Research coverage
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Classical density functional theory · 63 topics
Overview · 34 topics
Overview of method · 19 topics
Derivation and formalism · 15 topics
Relativistic formulation (ab initio functional forms) · 10 topics
Generalizations to include magnetic fields · 1 topics
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How Density functional theory connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around Density functional theory shows recurring relationship patterns in the source. For example, Density functional theory → American Journal, Atomistic, Bibcode, BookNIST Jarvis-DFTClary, David, DFT, Electron Density Functional Theory, From Kindertransport, Guy, Internment, Kieron, Klaus, Lecture Notes Density Functional, Legendre Transformation Archived, Makov, Modeling Materials Continuum, Multiscale Techniques, Nathan, Nobel Laureate, Nobel LectureArgaman Another extracted example is Density functional theory → Along, Although, Among, B3LYP, Becke, Becke's, BLYP, Burke, DFT, Ernzerhof, Even, Examples, Fock, Hartree, In, It, Kohn, LDA, Lee, Parr. Use these groups to spot repeated connection types before inspecting the individual relationships.
Density functional theory
Top relations
related to External links· 32
Density functional theory → American Journal, Atomistic, Bibcode, BookNIST Jarvis-DFTClary, David, DFT, Electron Density Functional Theory, From Kindertransport, Guy, Internment, Kieron, Klaus, Lecture Notes Density Functional, Legendre Transformation Archived, Makov, Modeling Materials Continuum, Multiscale Techniques, Nathan, Nobel Laureate, Nobel LectureArgaman
has application· 26
Density functional theory → Along, Although, Among, B3LYP, Becke, Becke's, BLYP, Burke, DFT, Ernzerhof, Even, Examples, Fock, Hartree, In, It, Kohn, LDA, Lee, Parr
related to Classical density functional theory· 16
Density functional theory → As, Broglie, Classical, Classical DFT, Computational, DFT, Frits Zernike, In, Leonard Ornstein, Ornstein, Since, The, Theories, These, Waals, Zernike
related to Origins· 13
Density functional theory → Although, DFT, Fermi, HK, Hohenberg, It, Kohn, Pierre Hohenberg, TDDFT, The, This, Thomas, Walter Kohn
related to Generalizations to include magnetic fields· 11
Density functional theory → BDFT, CDFT, Generalizations, Grayce, Harris, In, LDA, Rasolt, Salsbury, The DFT, Vignale
related to Thomas–Fermi model· 8
Density functional theory → Enrico Fermi, Equating, Fermi, For, Llewellyn Thomas, The, They, Thomas
see also· 8
Density functional theory → Basis, Dynamical, Fermi, Levy, Oxford, Parrinello, Sham, Thirring
is a· 1
Density functional theory → classical statistical method to investigate the properties of many-body systems consisting of interacting molecules
Important terminology
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Density functional theory relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 123 structured relationships around Density functional theory. Examples in this analysis include Density functional theory → is a → classical statistical method to investigate the properties of many-body systems consisting of interacting molecules and Mössbauer spectroscopy or perturbed angular correlation → instance of → DFT has become an important tool for methods of nuclear spectroscopy. The table shows each extracted connection, where it came from and its confidence.
Subject
Predicate
Object
Confidence
Src
Density functional theory
is a
classical statistical method to investigate the properties of many-body systems consisting of interacting molecules
0.90
text
Mössbauer spectroscopy or perturbed angular correlation
instance of
DFT has become an important tool for methods of nuclear spectroscopy
0.80
text
in order to understand the origin of specific electric field gradients in crystals.DFT sometimes does not properly describe
instance of
DFT has become an important tool for methods of nuclear spectroscopy
0.80
text
fundamental material properties
instance of
without requiring higher-order parameters
0.80
text
the van der Waals theory for the equation of state
instance of
Classical DFT has its roots in theories
0.80
text
the virial expansion method for the pressure
instance of
Classical DFT has its roots in theories
0.80
text
the long range London dispersion force
instance of
In a perturbation theory approach the direct correlation function is given by the sum of the direct correlation in a known system such as hard spheres and a term in a weak inter…
0.80
text
the weighted density approximation for a direct correlation function of a uniform system which distributes the neighboring particles with an effective weighted density calculated from a self-consistent condition on the direct correlation function.The variational Mermin principle leads to an equation for the equilibrium density
instance of
Other improvements have been suggested
0.80
text
system properties are calculated from the solution for the density
instance of
Other improvements have been suggested
0.80
text
Density functional theory
has application
In
0.60
section
Density functional theory
has application
Specifically
0.60
section
Density functional theory
has application
DFT
0.60
section
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around Density functional theory bring nearby vocabulary together. In this analysis, examples include Functional, Theory and Electron. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
Density functional theory
Functional
Theory
Electron
System
Correlation
Displaystyle
Energy
Local
Function
Potential
Dft
Functionals
density functional theory
Functional
Theory
Electron
Energy
Correlation
System
Fermi
Exchange
Displaystyle
Used
Local
Function
electronic structure
Structure
Interaction
Potential
Electrons
Theory
Using
Method
External
Fermi
Kohn
Used
Systems
functionals
Also
Theory
Exchange
Electron
Calculations
System
Correlation
Functions
External
One
Term
Properties
electron density
Functional
Theory
Electron
Exchange
System
Correlation
Energy
Displaystyle
Local
Fermi
Function
Potential
exchange
Energy
Functional
Fermi
Theory
Functionals
Used
Method
Effective
External
Kohn
One
Potential
correlation
Exchange
Function
Functional
Effective
Density
Energy
Electron
Functions
Interaction
Particles
System
Potential
hartree–fock theory
Fermi
Used
Functionals
Kohn
Exchange
Classical
Electron
Properties
Correlation
Structure
Interaction
System
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For Density functional theory, one of the stronger structural bridges in this analysis connects Density functional theory with Classical density functional theory. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
Min side: 3
Density functional theory — Classical density functional theory· splits 126 ⟂ 64Density functional theory — Overview· splits 155 ⟂ 35Density functional theory — Overview of method· splits 170 ⟂ 20Density functional theory — Derivation and formalism· splits 174 ⟂ 16Density functional theory — Relativistic formulation (ab initio functional forms)· splits 179 ⟂ 11Density functional theory — Thomas–Fermi model· splits 179 ⟂ 11Density functional theory — Pseudo-potentials· splits 180 ⟂ 10Density functional theory — Approximations (exchange–correlation functionals)· splits 182 ⟂ 8Density functional theory — Applications· splits 182 ⟂ 8Density functional theory — Electron smearing· splits 186 ⟂ 4
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
Density functional theory
Nodes190
Edges189
Triples123
Avg. degree1.99
Density0.010526
Components1
Source & methodology
TTTA analyzes the structure around Density functional theory to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications, Art, Science & Products, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
