SPRING: Difference between revisions

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{{TAGDEF|SPRING|[integer]|-5}}
{{TAGDEF|SPRING|[integer]|-5}}


Description: {{TAG|SPRING}} gives the ''spring constant'' between the images as used in the elastic band method
Description: {{TAG|SPRING}} gives the ''spring constant'' between the images as used in the elastic band method.


----
----
{{TAG|SPRING}} has to be set together with {{TAG|IMAGES}} if the elastic band method is used to calculate energy barriers between two  
{{TAG|SPRING}} has to be set together with {{TAG|IMAGES}} if the elastic band method is used to calculate energy barriers between two ionic configurations of a system.
ionic configurations of a system.
   
   
For {{TAG|SPRING}} = 0, each image is only allowed
For {{TAG|SPRING}} = 0, each image is only allowed
Line 16: Line 15:
a finer resolution around this point.
a finer resolution around this point.


The nudged elastic band method <ref name="jons95"/><ref name="jons98"/>
The nudged elastic band method<ref name="jons95"/><ref name="jons98"/>
is applied when {{TAG|SPRING}} is set to a negative value e.g.
is applied when {{TAG|SPRING}} is set to a negative value e.g.
  SPRING = -5
  {{TAG|SPRING}}= -5
This is also the recommended setting.
This is also the recommended setting.
Compared to the previous case, additional tangential springs
Compared to the previous case, additional tangential springs
Line 26: Line 25:
because this can slow down convergence. The default value
because this can slow down convergence. The default value
usually works quite reliably.
usually works quite reliably.
One problem of the nudged elastic band method is
that the constraint (i.e movements only
in the hyper-plane perpendicular to the current tangent) is
non linear. Therefore, the CG algorithm usually fails
to converge, and  we recommended to use
the RMM-DIIS algorithm ({{TAG|IBRION}}=1) or the quick-min algorithm ({{TAG|IBRION}}=3).
Additionally,
the non-linear constraint (equidistant images) tends to be  violated
significantly during the first few steps (it is only enforced to first order).
If this problem is
encountered, a very low dimensionality parameter ({{TAG|IBRION}}=1, {{TAG|NFREE}}=2)
should be applied in the first we steps, or a steepest
descent minimization without line optimization ({{TAG|IBRION}}=3, {{TAG|SMASS}}=2).
should be used, to  pre-converge the images.
== Related tags and articles ==
{{TAG|IMAGES}},
{{TAG|IBRION}},
{{TAG|NFREE}},
{{TAG|SMASS}}
{{sc|SPRING|Examples|Examples that use this tag}}


== References ==
== References ==
<references>
<references>
<ref name="jons95">G. Mills, H. Jonsson and G. K. Schenter, Surface
<ref name="jons95">[http://dx.doi.org/10.1016/0039-6028(94)00731-4 G. Mills, H. Jonsson and G. K. Schenter, Surface Science, 324, 305 (1995).]</ref>
Science, 324, 305 (1995)</ref>
<ref name="jons98">H. Jonsson, G. Mills and K. W. Jacobsen, ''Nudged Elastic Band Method for Finding Minimum Energy Paths of Transitions'', in ''Classical and Quantum Dynamics in Condensed Phase Simulations'', ed. B. J. Berne, G. Ciccotti and D. F. Coker (World Scientific, 1998).</ref>
<ref name="jons98">H. Jonsson, G. Mills and K. W. Jacobsen,
''Nudged Elastic Band Method for Finding Minimum Energy Paths of
Transitions'',
in ''Classical and Quantum Dynamics in Condensed Phase Simulations'',
ed. B. J. Berne, G. Ciccotti and D. F. Coker (World Scientific, 1998)</ref>
</references>
</references>
----
----
== Related Tags and Sections ==
{{TAG|IMAGES}}
[[The_VASP_Manual|Contents]]


[[Category:INCAR]][[Category:Elastic Band Method]]
[[Category:INCAR tag]][[Category:Transition states]][[Category:Ionic minimization]]

Latest revision as of 10:09, 20 October 2023

SPRING = [integer]
Default: SPRING = -5 

Description: SPRING gives the spring constant between the images as used in the elastic band method.


SPRING has to be set together with IMAGES if the elastic band method is used to calculate energy barriers between two ionic configurations of a system.

For SPRING = 0, each image is only allowed to move into the direction perpendicular to the current hyper-tangent, which is calculated as the normal vector between two neighboring images. This algorithm keeps the distance between the images constant to first order. It is therefore possible to start with a dense image spacing around the saddle point to obtain a finer resolution around this point.

The nudged elastic band method[1][2] is applied when SPRING is set to a negative value e.g.

SPRING= -5

This is also the recommended setting. Compared to the previous case, additional tangential springs are introduced to keep the images equidistant during the relaxation (remember the constraint is only conserved to first order otherwise). Do not use too large values, because this can slow down convergence. The default value usually works quite reliably.

One problem of the nudged elastic band method is that the constraint (i.e movements only in the hyper-plane perpendicular to the current tangent) is non linear. Therefore, the CG algorithm usually fails to converge, and we recommended to use the RMM-DIIS algorithm (IBRION=1) or the quick-min algorithm (IBRION=3). Additionally, the non-linear constraint (equidistant images) tends to be violated significantly during the first few steps (it is only enforced to first order). If this problem is encountered, a very low dimensionality parameter (IBRION=1, NFREE=2) should be applied in the first we steps, or a steepest descent minimization without line optimization (IBRION=3, SMASS=2). should be used, to pre-converge the images.

Related tags and articles

IMAGES, IBRION, NFREE, SMASS

Examples that use this tag

References

  1. G. Mills, H. Jonsson and G. K. Schenter, Surface Science, 324, 305 (1995).
  2. H. Jonsson, G. Mills and K. W. Jacobsen, Nudged Elastic Band Method for Finding Minimum Energy Paths of Transitions, in Classical and Quantum Dynamics in Condensed Phase Simulations, ed. B. J. Berne, G. Ciccotti and D. F. Coker (World Scientific, 1998).