CV:AXANG2: Difference between revisions

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{{CVS}}
{{CVS}}
===Definition===
===Definition===
The angle between two axes of two reference frames. Coordinate systems of reference frames are found by superimposing the reference structures to given atom groups.
The angle between two axes of two reference frames superimposed to the atom groups '''A''' and '''B'''.


<center><math>\xi = arccos \left( \bold n_A . \bold n_B \right)</math></center>
<center><math>\xi = arccos \left( \bold n_A . \bold n_B \right)</math></center>
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| [[Mask format|mask]]
| [[Mask format|mask]]
|
|
| atoms employed in the superimposition of the reference frame '''a'''  
| atoms employed in the superimposition of the reference frame '''A'''  
|- style="vertical-align: top;"
|- style="vertical-align: top;"
| '''reference_a'''
| '''reference_a'''
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| x, y, z
| x, y, z
|
|
| selection of corresponding axis of the reference frame '''a'''
| selection of corresponding axis of the reference frame '''A'''
|-
|-
| '''group_b'''
| '''group_b'''
| [[Mask format|mask]]
| [[Mask format|mask]]
|
|
| atoms employed in the superimposition of the reference frame '''b'''  
| atoms employed in the superimposition of the reference frame '''B'''  
|- style="vertical-align: top;"
|- style="vertical-align: top;"
| '''reference_b'''
| '''reference_b'''
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| x, y, z
| x, y, z
|
|
| selection of corresponding axis of the reference frame '''b'''
| selection of corresponding axis of the reference frame '''B'''
|}
|}
''Keys in bold are mandatory.''
''Keys in bold are mandatory.''

Latest revision as of 06:40, 8 April 2016

Navigation: Documentation / Collective Variables / CV:AXANG2


Distance

Angle

Coordination

Shape

Nucleic Acids

Puckering

Special

Energy

Algebra

Definition

The angle between two axes of two reference frames superimposed to the atom groups A and B.

The superimposition is made by finding lowest root mean square deviation between the reference structure and structure of a given atom group. The fit is not mass weighted.

Failed to parse (Conversion error. Server ("cli") reported: "[INVALID]"): {\displaystyle RMSD = \sqrt{ {\sum_{i=1}^{N}{ | \bold R_i^' - \bold R_{ref,i}|^2 }} } \rightarrow min!}

where R' are atoms from given atom group and Rref are atoms from given reference structure.

PBC note: The minimum-image convention is not used.


Specification

Section name: AXANG

Key Type Default Description




name string unique CV name
group_a mask atoms employed in the superimposition of the reference frame A
reference_a string name of file with the reference structure in the XYZ format, the structure must have the same number of atoms as the group group_a
direction_a x, y, z selection of corresponding axis of the reference frame A
group_b mask atoms employed in the superimposition of the reference frame B
reference_b string name of file with the reference structure in the XYZ format, the structure must have the same number of atoms as the group group_b
direction_b x, y, z selection of corresponding axis of the reference frame B

Keys in bold are mandatory.