  Transformation matrices of the weights of the atomic wave functions in jj
coupling to the relevant weights of LS coupling are considered for a shell of
equivalent electrons. Their use allows one to preserve main part of
relativistic effects but to classify the energy levels of an atom or an ion
considered with the help of a set of quantum numbers of LS coupling scheme.
Having in mind that the numerical values of the abovementioned transformation
matrix (LS-jj) may be generally obtained in a very time consuming recurrent
way, the analytical expressions of these matrices for a number of special cases
of electronic configurations are presented.
