LRHFCALC: Difference between revisions

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{{TAGDEF|LRHFCALC|.TRUE. {{!}} .FALSE. |.FALSE.}}
{{TAGDEF|LRHFCALC|.TRUE. {{!}} .FALSE. |.FALSE.}}


Description: {{TAG|LRHFCALC}} selects the decomposition of the exchange functional for calculations with the [[:Category:Hybrid_functionals|range-separated hybrids RSHXLDA or RSHXPBE functionals]].
Description: Switch on the decomposition of the exchange for the hybrid functionals using full Hartree-Fock exchange at long range.
----
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If {{TAG|LRHFCALC}}=.TRUE. the exchange functional is decomposed into short-range LDA (or PBE) and long-range Hartree-Fock for calculations with the range-separated hybrid RSHXLDA or RSHXPBE functionals.{{cite|iikura:jcp:2001}}{{cite|gerber:cpl:2005}}{{cite|gerber:jcp:2007}} The screening parameter is specified by means of the {{TAG|HFSCREEN}} tag.
If {{TAG|LRHFCALC}}=.TRUE. the exchange functional is decomposed into short-range LDA, PBE or PBEsol ({{TAG|GGA}}{{=}}CA, PE, PS, respectively) and long-range Hartree-Fock:


The setting of the RSHXLDA and RSHXPBE functionals is shown at [[list_of_hybrid_functionals|list_of_hybrid_functionals]].
:<math>E_{\mathrm{xc}}^{\mathrm{hybrid}}=a_{\mathrm{LR}} E_{\mathrm{x,LR}}^{\mathrm{HF}}(\mu) + E_{\mathrm{x,SR}}^{\mathrm{SL}}(\mu) + (1-a_{\mathrm{LR}})E_{\mathrm{x,LR}}^{\mathrm{SL}}(\mu) + E_{\mathrm{c}}^{\mathrm{SL}}</math>


The mixing <math>a_{\mathrm{LR}}</math> and screening <math>\mu</math> are controlled by the {{TAG|AEXX}} and {{TAG|HFSCREEN}} tags, respectively. The RSHXLDA or RSHXPBE functionals{{cite|iikura:jcp:2001}}{{cite|gerber:cpl:2005}}{{cite|gerber:jcp:2007}} are examples of such functionals and
their settings are shown on the [[list_of_hybrid_functionals|page listing the hybrid functionals]].
{{NB|mind|
{{NB|mind|
*If {{TAG|LRHFCALC}}{{=}}.TRUE., then {{TAG|LHFCALC}}{{=}}.TRUE. is automatically set.
*If {{TAG|LRHFCALC}}{{=}}.TRUE., then {{TAG|LHFCALC}}{{=}}.TRUE. is automatically set.
*If {{TAG|LRHFCALC}}{{=}}.TRUE., then {{TAG|AEXX}}{{=}}1 is automatically set, but {{TAG|AEXX}} can be set to another value.}}
*If {{TAG|LRHFCALC}}{{=}}.TRUE., then {{TAG|AEXX}}{{=}}1 is automatically set, but {{TAG|AEXX}} can be set to another value.}}
{{NB|important|When {{TAG|AEXX}}{{=}}1 (the default for {{TAG|LRHFCALC}}{{=}}.TRUE.), the correlation <math>E_{\mathrm{c}}^{\mathrm{SL}}</math> is not included. However, it can be included by setting {{TAG|ALDAC}}{{=}}1.0 and {{TAG|AGGAC}}{{=}}1.0.}}


== Related tags and articles ==
== Related tags and articles ==
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{{TAG|HFSCREEN}},
{{TAG|HFSCREEN}},
{{TAG|AEXX}},
{{TAG|AEXX}},
{{TAG|LMODELHF}},
{{TAG|LTHOMAS}},
{{TAG|LTHOMAS}},
[[list_of_hybrid_functionals|list_of_hybrid_functionals]]
[[list_of_hybrid_functionals|list of hybrid functionals]],
[[Hybrid_functionals:_formalism|Hybrid functionals: formalism]]


{{sc|LRHFCALC|Examples|Examples that use this tag}}
{{sc|LRHFCALC|Examples|Examples that use this tag}}

Latest revision as of 12:38, 9 February 2026

LRHFCALC = .TRUE. | .FALSE.
Default: LRHFCALC = .FALSE. 

Description: Switch on the decomposition of the exchange for the hybrid functionals using full Hartree-Fock exchange at long range.


If LRHFCALC=.TRUE. the exchange functional is decomposed into short-range LDA, PBE or PBEsol (GGA=CA, PE, PS, respectively) and long-range Hartree-Fock:

[math]\displaystyle{ E_{\mathrm{xc}}^{\mathrm{hybrid}}=a_{\mathrm{LR}} E_{\mathrm{x,LR}}^{\mathrm{HF}}(\mu) + E_{\mathrm{x,SR}}^{\mathrm{SL}}(\mu) + (1-a_{\mathrm{LR}})E_{\mathrm{x,LR}}^{\mathrm{SL}}(\mu) + E_{\mathrm{c}}^{\mathrm{SL}} }[/math]

The mixing [math]\displaystyle{ a_{\mathrm{LR}} }[/math] and screening [math]\displaystyle{ \mu }[/math] are controlled by the AEXX and HFSCREEN tags, respectively. The RSHXLDA or RSHXPBE functionals[1][2][3] are examples of such functionals and their settings are shown on the page listing the hybrid functionals.

Mind:
Important: When AEXX=1 (the default for LRHFCALC=.TRUE.), the correlation [math]\displaystyle{ E_{\mathrm{c}}^{\mathrm{SL}} }[/math] is not included. However, it can be included by setting ALDAC=1.0 and AGGAC=1.0.

Related tags and articles

LHFCALC, HFSCREEN, AEXX, LMODELHF, LTHOMAS, list of hybrid functionals, Hybrid functionals: formalism

Examples that use this tag