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# Difference between revisions of "SCALEE"

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+ | A detailed description of calculations using thermodynamic integration within VASP is given in reference {{cite|dorner:PRL:2018}}. | ||

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In thermodynamic integration the free energy difference between two systems is defined as | In thermodynamic integration the free energy difference between two systems is defined as | ||

## Revision as of 11:49, 2 April 2020

SCALEE = [real]

Default: **SCALEE** = 1

Description: This tag specifies the coupling parameter of the energies and forces between a fully interacting system and a reference system.

A detailed description of calculations using thermodynamic integration within VASP is given in reference ^{[1]}.

In thermodynamic integration the free energy difference between two systems is defined as

.

Here and describe the potential energies of a fully-interacting and a non-interacting reference system, respectively. The interaction of the constituents within the system is controlled via the coupling parameter . The SCALEE sets the value for the coupling constant.

By default SCALEE=1 and scaling of the energies and forces via the coupling constant is carried out. To enable the scaling SCALEE<1 has to be specified.

Two possible options are available for the reference system:

- Ideal gas:

Usually the thermodynamic integration is carried out from the ideal gas to the liquid state.

- Harmonic solid

If the file DYNMATFULL exists in the calculation directory (from a previous calculation using PHON_NSTRUCT=-1) and SCALEE1, the second order Hessian matrix is added to the force and thermodynamic integration from a harmonic model to a fully interacting system is carried out. Here the Hamiltonian for a certain integration point along the thermodynamic integration pathway is given as

## Related Tags and Sections

VCAIMAGES, IMAGES, NCORE IN IMAGE1, PHON_NSTRUCT