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  2. Density functional theory - Wikipedia

    en.wikipedia.org/wiki/Density_functional_theory

    Density functional theory (DFT) is a computational quantum mechanical modelling 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.

  3. DFTB - Wikipedia

    en.wikipedia.org/wiki/DFTB

    The Density Functional Based Tight Binding method is an approximation to density functional theory, which reduces the Kohn-Sham equations to a form of tight binding related to the Harris functional. The original [1] approximation limits interactions to a non-self-consistent two center hamiltonian between confined atomic states.

  4. Local-density approximation - Wikipedia

    en.wikipedia.org/wiki/Local-density_approximation

    Local-density approximations (LDA) are a class of approximations to the exchange–correlation (XC) energy functional in density functional theory (DFT) that depend solely upon the value of the electronic density at each point in space (and not, for example, derivatives of the density or the Kohn–Sham orbitals). Many approaches can yield ...

  5. Vienna Ab initio Simulation Package - Wikipedia

    en.wikipedia.org/wiki/Vienna_Ab_initio...

    The basic methodology is density functional theory (DFT), but the code also allows use of post-DFT corrections such as hybrid functionals mixing DFT and Hartree–Fock exchange (e.g. HSE, [3] PBE0 [4] or B3LYP [5]), many-body perturbation theory (the GW method [6]) and dynamical electronic correlations within the random phase approximation (RPA ...

  6. Time-dependent density functional theory - Wikipedia

    en.wikipedia.org/wiki/Time-dependent_density...

    The density response function, the functional derivative of the density with respect to the external potential, should be causal: a change in the potential at a given time can not affect the density at earlier times. The response functions from the Dirac action however are symmetric in time so lack the required causal structure.

  7. Ab initio quantum chemistry methods - Wikipedia

    en.wikipedia.org/wiki/Ab_initio_quantum...

    Hybrid Density functional theory (DFT) methods using functionals which include Hartree–Fock exchange scale in a similar manner to Hartree–Fock but with a larger proportionality term and are thus more expensive than an equivalent Hartree–Fock calculation. Local DFT methods that do not include Hartree–Fock exchange can scale better than ...

  8. Category:Density functional theory - Wikipedia

    en.wikipedia.org/wiki/Category:Density...

    Pages in category "Density functional theory" The following 17 pages are in this category, out of 17 total. This list may not reflect recent changes. ...

  9. Hybrid functional - Wikipedia

    en.wikipedia.org/wiki/Hybrid_functional

    The hybrid approach to constructing density functional approximations was introduced by Axel Becke in 1993. [1] Hybridization with Hartree–Fock (HF) exchange (also called exact exchange) provides a simple scheme for improving the calculation of many molecular properties, such as atomization energies, bond lengths and vibration frequencies, which tend to be poorly described with simple "ab ...