Conversion Electron Angular Correlations: GeneralK-Shell Formulation and Threshold Limit

A general treatment of polarization-angular correlations involving conversion electrons is presented. Formulas are given for the $b_{\nu }$ coefficients for all types of polarization of the conversion electron, electric and magnetic multipoles, and arbitrary complexity $\nu$. It is shown that only three coefficients are needed to characterize completely correlations of conversion electrons from the $K$ shell, for a given type of transition. Curves are given of the threshold values for these coefficients for $L=1-5\mathrm{}$, electric and magnetic, versus atomic number. The relativistic Coulomb functions (point nucleus, no screening) are presented, along with a number of properties and expansions, in a convenient and consistent notation. Several identities and relations involving the vector addition coefficients are included.