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inclusion of reference links in the text
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@ -10,7 +10,7 @@ compute gyration/shape command :h3
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[Syntax:]
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compute ID group-ID gyration compute-ID :pre
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compute ID group-ID gyration/shape compute-ID :pre
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ID, group-ID are documented in "compute"_compute.html command
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gyration/shape = style name of this compute command
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@ -24,14 +24,16 @@ compute 1 molecule gyration/shape pe :pre
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Define a computation that calculates the eigenvalues of the gyration tensor of a
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group of atoms and three shape parameters. The computation includes all effects
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due to atoms passing thru periodic boundaries.
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due to atoms passing through periodic boundaries.
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The three computed shape parameters are the asphericity, b, the acylindricity, c,
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and the relative shape anisotropy, k:
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:c,image(Eqs/compute_shape_parameters.jpg)
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where lx <= ly <= lz are the three eigenvalues of the gyration tensor.
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where lx <= ly <= lz are the three eigenvalues of the gyration tensor. A general description
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of these parameters is provided in "(Mattice)"_#Mattice while an application to polymer systems
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can be found in "(Theodorou)"_#Theodorou.
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The asphericity is always non-negative and zero only when the three principal
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moments are equal. This zero condition is met when the distribution of particles
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is spherically symmetric (hence the name asphericity) but also whenever the particle
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@ -81,7 +83,9 @@ package"_Build_package.html doc page for more info.
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:line
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[(Theodorou)] Theodorou, Suter, Macromolecules, 18, 1206 (1985).
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:link(Mattice)
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[(Mattice)] Mattice, Suter, Conformational Theory of Large Molecules, Wiley, New York, 1994.
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:link(Theodorou)
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[(Theodorou)] Theodorou, Suter, Macromolecules, 18, 1206 (1985).
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@ -31,10 +31,11 @@ and the relative shape anisotropy, k:
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:c,image(Eqs/compute_shape_parameters.jpg)
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where lx <= ly <= lz are the three eigenvalues of the gyration tensor.
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The asphericity is always non-negative and zero only when the three principal
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moments are equal. This zero condition is met when the distribution of particles
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is spherically symmetric (hence the name asphericity) but also whenever the particle
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where lx <= ly <= lz are the three eigenvalues of the gyration tensor. A general description
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of these parameters is provided in "(Mattice)"_#Mattice while an application to polymer systems
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can be found in "(Theodorou)"_#Theodorou. The asphericity is always non-negative and zero
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only when the three principal moments are equal. This zero condition is met when the distribution
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of particles is spherically symmetric (hence the name asphericity) but also whenever the particle
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distribution is symmetric with respect to the three coordinate axes, e.g.,
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when the particles are distributed uniformly on a cube, tetrahedron or other Platonic
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solid. The acylindricity is always non-negative and zero only when the two principal
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@ -84,5 +85,9 @@ package"_Build_package.html doc page for more info.
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:line
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:link(Mattice)
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[(Mattice)] Mattice, Suter, Conformational Theory of Large Molecules, Wiley, New York, 1994.
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:link(Theodorou)
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[(Theodorou)] Theodorou, Suter, Macromolecules, 18, 1206 (1985).
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