DFT-ulg: Difference between revisions

From VASP Wiki
No edit summary
No edit summary
Line 3: Line 3:
:<math>E_{\mathrm{disp}} = -\frac{1}{2}  s_{lg}\sum_{i=1}^{N_{at}} \sum_{j=1}^{N_{at}}  \sum_{\mathbf{L}} {}^{\prime}  \frac{C_{6ij}}{r_{ij,L}^{6}+b_{lg}(R_{0}^{ij})^{6}} </math>
:<math>E_{\mathrm{disp}} = -\frac{1}{2}  s_{lg}\sum_{i=1}^{N_{at}} \sum_{j=1}^{N_{at}}  \sum_{\mathbf{L}} {}^{\prime}  \frac{C_{6ij}}{r_{ij,L}^{6}+b_{lg}(R_{0}^{ij})^{6}} </math>


where the first two summations are over all <math>N_{at}</math> atoms in the unit cell and the third summation is over all translations of the unit cell <math>{\mathbf{L}}=(l_1,l_2,l_3)</math> where the prime indicates that <math>i\not=j</math> for <math>{\mathbf{L}}=0</math>.  <math>C_{6ij}</math> denotes the dispersion coefficient for the atom pair <math>ij</math>, <math>{r}_{ij,\mathbf{L}}</math> is the distance between atom <math>i</math> located in the reference cell <math>\mathbf{L}=0</math> and atom <math>j</math> in the cell <math>L</math>.
where the first two summations are over all <math>N_{at}</math> atoms in the unit cell and the third summation is over all translations of the unit cell <math>{\mathbf{L}}=(l_1,l_2,l_3)</math> where the prime indicates that <math>i\not=j</math> for <math>{\mathbf{L}}=0</math>.  <math>C_{6ij}</math> denotes the dispersion coefficient for the atom pair <math>ij</math>, <math>{r}_{ij,\mathbf{L}}</math> is the distance between atom <math>i</math> located in the reference cell <math>\mathbf{L}=0</math> and atom <math>j</math> in the cell <math>L</math>. The parameters in the DFT-ulg method that can be modified are listed below.


*{{TAG|VDW_RADIUS}}=50.0 : cutoff radius (in <math>\AA</math>) for pair interactions
*{{TAG|VDW_RADIUS}}=50.0 : cutoff radius (in <math>\AA</math>) for pair interactions

Revision as of 19:08, 1 February 2023

In the DFT-ulg method of Kim et al.[1], the correction term takes the form:

where the first two summations are over all atoms in the unit cell and the third summation is over all translations of the unit cell where the prime indicates that for . denotes the dispersion coefficient for the atom pair , is the distance between atom located in the reference cell and atom in the cell . The parameters in the DFT-ulg method that can be modified are listed below.

  • VDW_RADIUS=50.0 : cutoff radius (in ) for pair interactions
  • VDW_S6=0.7012 : global scaling parameter (available in VASP.5.3.5 and later). The default value () was determined in conjunction with the PBE GGA functional[1].
  • VDW_D=0.6966 : universal correction parameter
  • VDW_C6=[real array] : parameters () for each species defined in the POSCAR file
  • VDW_R0=[real array] : parameters () for each species defined in the POSCAR file
  • LVDW_EWALD=.FALSE. : the lattice summation in expression is computed by means of Ewald's summation (.TRUE. ) or via a real space summation over all atomic pairs within cutoff radius VDW_RADIUS (.FALSE.). (available in VASP.5.3.5 and later)

Related tags and articles

VDW_RADIUS, VDW_S6, VDW_D, VDW_C6, VDW_R0, LVDW_EWALD, IVDW

References