CV:OPOS2: Difference between revisions

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Navigation: [[Documentation]] / [[Collective Variables]] / [[CV:ORAD]]
Navigation: [[Documentation]] / [[Collective Variables]] / [[CV:OPOS2]]
----
----
{{CVS}}
{{CVS}}
===Definition===
===Definition===
The radial distance of the point from z-axis of re-oriented coordinate system along principal moments of the tensor inertia '''I'''.
The absolute position of the point along z-axis of re-oriented coordinate system along principal moments of the tensor inertia '''I'''.


<center><math>\xi = \sqrt{{A'}_{com,x}^2 + {A'}_{com,y}^2}</math></center>
<center><math>\xi = A_{com,z}^'</math></center>


The z-axis can be reoriented to any axis of the re-oriented coordinate system.
The z-axis can be reoriented to any axis of the re-oriented coordinate system.
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===Specification===
===Specification===
Section name: '''ORAD'''
Section name: '''OPOS'''
{|
{|
| style="width: 5em;" | '''Key'''  
| style="width: 5em;" | '''Key'''  

Revision as of 14:45, 21 July 2021

Navigation: Documentation / Collective Variables / CV:OPOS2


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Algebra

Definition

The absolute position of the point along z-axis of re-oriented coordinate system along principal moments of the tensor inertia I.

Failed to parse (Conversion error. Server ("cli") reported: "[INVALID]"): {\displaystyle \xi = A_{com,z}^'}

The z-axis can be reoriented to any axis of the re-oriented coordinate system.

The relation between re-oriented (') and native coordinate system is given by the transformation matrix T:

Failed to parse (Conversion error. Server ("cli") reported: "[INVALID]"): {\displaystyle \bold A_{com}^' = \bold T \bold A_{com}}


Specification

Section name: OPOS

Key Type Default Description




name string unique CV name
group_a mask atoms specifying the point A
z_direction mask single atom specifying the end of approximate z-direction vector of the re-oriented coordinate system. The vector origin is in Acom. The atom must be member of the group A.
direction x, y, z determine direction of z-axis in the re-oriented coordinate system

Keys in bold are mandatory.