SPRING K: Difference between revisions

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{{TAGDEF|SPRING_K|[real (array)]}}
{{TAGDEF|SPRING_K|[real (array)]}}


Description: The parameter {{TAG|SPRING_K}} defines force constants <math>\kappa_{\mu}</math> for the harmonic bias of the following form:
Description: Force constant for harmonic bias potential.
<math>
----
The parameter {{TAG|SPRING_K}} defines force constants (<math>\kappa_{\mu}</math>) for the harmonic bias of the following form:
 
::<math>
\tilde{V}(\xi_1,\dots,\xi_{M_8}) = \sum_{\mu=1}^{M}\frac{1}{2}\kappa_{\mu} (\xi_{\mu}(q)-\xi_{0\mu})^2 \;
\tilde{V}(\xi_1,\dots,\xi_{M_8}) = \sum_{\mu=1}^{M}\frac{1}{2}\kappa_{\mu} (\xi_{\mu}(q)-\xi_{0\mu})^2 \;
</math>
</math>
where the sum runs over all (<math>M_8</math>) coordinates the potential acts upon (<math>\xi_{\mu}(q)</math>), which are defined in the {{FILE|ICONST}}-file by setting the status to 8.
 
where the sum runs over all (<math>M_8</math>) coordinates the potential acts upon (<math>\xi_{\mu}(q)</math>), which are defined in the {{FILE|ICONST}} file by setting the <code>status</code> to 8.
The units of <math>\kappa_{\mu}</math> are <math>eV/uc</math> where <math>uc</math> units of coordinate the potential acts upon (e.g., <math>{\AA}</math> for coordinates with <code>flag</code> R, <math>rad.</math> for coordinates with <code>flag</code> A, dimensionless for coordinates with <code>flag</code> W, etc...)
The number of items defined via {{TAG|SPRING_K}} must be equal to <math>M_8</math>, otherwise the calculation terminates with an error message.
The number of items defined via {{TAG|SPRING_K}} must be equal to <math>M_8</math>, otherwise the calculation terminates with an error message.


== Related tags and articles ==
== Related tags and articles ==
{{TAG|SPRING_R0}}
{{TAG|SPRING_R0}},
{{TAG|SPRING_V}}
{{TAG|SPRING_V0}},
{{FILE|ICONST}},
{{TAG|Biased molecular dynamics}}
{{TAG|Biased molecular dynamics}}
----
[[Category:INCAR tag]][[Category:Advanced molecular-dynamics sampling]]

Latest revision as of 13:40, 7 March 2025

SPRING_K = [real (array)] 

Description: Force constant for harmonic bias potential.


The parameter SPRING_K defines force constants ([math]\displaystyle{ \kappa_{\mu} }[/math]) for the harmonic bias of the following form:

[math]\displaystyle{ \tilde{V}(\xi_1,\dots,\xi_{M_8}) = \sum_{\mu=1}^{M}\frac{1}{2}\kappa_{\mu} (\xi_{\mu}(q)-\xi_{0\mu})^2 \; }[/math]

where the sum runs over all ([math]\displaystyle{ M_8 }[/math]) coordinates the potential acts upon ([math]\displaystyle{ \xi_{\mu}(q) }[/math]), which are defined in the ICONST file by setting the status to 8. The units of [math]\displaystyle{ \kappa_{\mu} }[/math] are [math]\displaystyle{ eV/uc }[/math] where [math]\displaystyle{ uc }[/math] units of coordinate the potential acts upon (e.g., [math]\displaystyle{ {\AA} }[/math] for coordinates with flag R, [math]\displaystyle{ rad. }[/math] for coordinates with flag A, dimensionless for coordinates with flag W, etc...) The number of items defined via SPRING_K must be equal to [math]\displaystyle{ M_8 }[/math], otherwise the calculation terminates with an error message.

Related tags and articles

SPRING_R0, SPRING_V0, ICONST, Biased molecular dynamics