Category:Van der Waals functionals
Theoretical background
The semilocal and hybrid functionals do not include the London dispersion forces, therefore they can not be applied reliably on systems where the London dispersion forces play an important role. To account more properly of the London dispersion forces in DFT, a correlation dispersion term can be added to the semilocal or hybrid functional:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle E_{\text{xc}} = E_{\text{xc}}^{\text{SL/hybrid}} + E_{\text{c,disp}}. }
There are essentially two types of dispersion terms Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle E_{\text{c,disp}}} that have been proposed in the literature. The first type consists of a sum over the atom pairs Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): A -Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): B :
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle E_{\text{c,disp}} = -\sum_{A<B}\sum_{n=6,8,10,\ldots}f_{n}^{\text{damp}}(R_{AB})\frac{C_{n}^{AB}}{R_{AB}^{n}}, }
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle C_{n}^{AB}} are the dispersion coefficients, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle R_{AB}} is the distance between atoms Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): A and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): B and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://www.vasp.at/wiki/restbase/vasp.at/v1/":): {\displaystyle f_{n}^{\text{damp}}} is a damping function. Many variants of such atom-pair corrections exist
van der Waals corrections
- DFT-D2 method.
- DFT-D3 method.
- DDsC dispersion correction.
- Many-body dispersion energy.
- Tkatchenko-Scheffler method.
- Tkatchenko-Scheffler method with iterative Hirshfeld partitioning.
- Self-consistent screening in Tkatchenko-Scheffler method.
- VdW-DF functional of Langreth and Lundqvist et al.
How to
- Main tag for van der Waals algorithm: IVDW
- DFT-D2 method.
- DFT-D3 method.
- DDsC dispersion correction.
- Many-body dispersion energy.
- Tkatchenko-Scheffler method.
- Tkatchenko-Scheffler method with iterative Hirshfeld partitioning.
- Self-consistent screening in Tkatchenko-Scheffler method.
- VdW-DF functional of Langreth and Lundqvist et al.
Pages in category "Van der Waals functionals"
The following 58 pages are in this category, out of 58 total.
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- LIBMBD ALPHA
- LIBMBD C6AU
- LIBMBD K GRID
- LIBMBD K GRID SHIFT
- LIBMBD MBD A
- LIBMBD MBD BETA
- LIBMBD METHOD
- LIBMBD N OMEGA GRID
- LIBMBD PARALLEL MODE
- LIBMBD R0AU
- LIBMBD TS D
- LIBMBD TS SR
- LIBMBD VDW PARAMS KIND
- LIBMBD XC
- LSCALER0
- LSCSGRAD
- LSPIN VDW
- LTSSURF
- LUSE VDW
- LVDW EWALD
- LVDW ONECELL
- LVDWEXPANSION
- LVDWSCS