HESSEMAT: Difference between revisions
(Created page with "{{FILE|HESSEMAT}}) defines the Hesse matrix in Cartesian coordinates for the use in :Category:Thermodynamic integration with harmonic reference|Thermodynamic integration wi...") |
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{{FILE|HESSEMAT}} | {{FILE|HESSEMAT}} defines the Hesse matrix in Cartesian coordinates (<math>\underline{\mathbf{H}}^\mathbf{x}</math> ) for the use in [[:Category:Thermodynamic integration with harmonic reference|Thermodynamic integration with harmonic reference]]. | ||
For a system containing <math> N</math> atoms, {{FILE|HESSEMAT}} has <math>(3N+1)(N+1)</math> lines. | |||
The first line specifies potential energy <math>V_{0,\mathbf{x}}(\mathbf{x}_0)</math> (in eV) of the relaxed system for which <math>\underline{\mathbf{H}}^\mathbf{x}</math> is computed. | |||
The following <math>3N</math> lines are reserved for positions in fractional coordinates of all atoms constituting the system, whereby each line should contain three components of position vector of a single atom. | |||
Revision as of 11:08, 2 November 2023
HESSEMAT defines the Hesse matrix in Cartesian coordinates (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 \underline{\mathbf{H}}^\mathbf{x}} ) for the use in Thermodynamic integration with harmonic reference. For a system containing 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/":): N atoms, HESSEMAT has 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 (3N+1)(N+1)} lines. The first line specifies potential energy 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 V_{0,\mathbf{x}}(\mathbf{x}_0)} (in eV) of the relaxed system for which 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 \underline{\mathbf{H}}^\mathbf{x}} is computed. The following 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/":): 3N lines are reserved for positions in fractional coordinates of all atoms constituting the system, whereby each line should contain three components of position vector of a single atom.