Fractional parentage coefficients using a restricted set of Slater determinants

•A new method of calculating coefficients of fractional parentage is demonstrated.•The method is shown to be accurate and efficient relative to current methods.•Examples of collisional excitation and photoionisation rates are presented.

In a previous paper a method of calculating atomic physics data, energy levels and photo- and collisional-excitation rates using a restricted set of Slater determinants was demonstrated. This paper extends that work to demonstrate the method of calculating a generalisation of coefficients of fractional parentage using a restricted, and already known, set of Slater determinants. These coefficients can be used in photoionisation, collisional ionisation and autoionisation calculations, and so allow the methods to be extended to allow all of the data required by an atomic kinetic code to be calculated using this scheme.