(swsym-point)= # swsym.point ## Syntax `pOp = swsym.point(symOp, r)` ## Description `pOp = swsym.point(symOp, r)` determines the point group symmetry at a given position in the unit cell in a given space group. It returns all the rotation matrices of the point group. ## Input Arguments `symOp` : Symmetry operators of the space group stored in a matrix with dimensions of $[3\times 4\times n_{op}]$. `r` : Column vector with 3 elements, position in the unit cell. ## Output Arguments `pOp` : Point group operators in a matrix with dimensions of $[3\times 3\times n_{op}]$, the operators act on the relative atomic positions. To convert these rotation operators to Cartesian coordinate system, use: ```matlab R = BV*pOp(:,:,i)*inv(BV) ``` where `BV` is the matrix of lattice basis vectors, see [spinw.basisvector](#spinw-basisvector). ## See Also [swsym.generator](#swsym-generator) \| [swsym.operator](#swsym-operator) \| [swsym.position](#swsym-position)