number of directions symmetrically equivalent to m
Description
The multiplicity of a crystal direction is the size of its orbit under the crystal symmetry, i.e. the number of distinct symmetrically equivalent directions - 6 for {100}, 12 for {110}, 8 for {111} and 48 for {321} in m-3m. This is the multiplicity as the term is used crystallographically, e.g. the factor scaling the intensity of a reflection in powder diffraction.
Up to MTEX 6 this returned the reciprocal quantity, numSym(CS)/n, i.e. the order of the stabilizer - the number of symmetry operations that fix m. See https://github.com/mtex-toolbox/mtex/issues/2584. The two multiply to the order of the group, so the old value is numSym(m.CS) ./ multiplicity(m).
Syntax
n = multiplicity(m) % number of <Miller.Miller.html Miller> indices equivalent to mInput
| m | Miller |
Output
| n | integer |
See also
vector3d.symmetrise orientation.multiplicity fibre.multiplicity