Handling cell-parameter errors in crystallographic data

Abstract

A new method is presented for handling errors on crystallographic data. In single-crystal diffraction experiments, two variance–covariance matrices are present, one for the cell parameters and the second for the refined parameters (atomic coordinates and anisotropic displacement parameters). These two matrices can be combined so that errors on derived parameters, such as bond distances, bond angles and TLS tensors, may be calculated more simply. The new method works for all space groups but there are limitations on its application to triclinic space groups. The method allows errors to be transformed between space groups.