The values of the orientation density distribution function (ODF) depend as a rule on the applied
calculation method. In the series expansion method the calculation result is influenced by truncation
of the series. With decreasing of the expansion order lmax the width of smoothing around the ODF maximum increases and its height decreases.It is shown that the smoothing of the orientation density caused by series truncation can be described analytically by a Gaussian type function. Disturbing undulations of negative and positive values around ODF maxima characteristic for harmonic expansion can be suppressed by using additional smoothing functions.
