Neal F. Lane

A semiempirical method for the calculation of the Slater-Condon parameters☆

Abstract A semiempirical method for calculating the Slater-Condon parameters for the atoms of the first transition group is presented. This method is based on the use of effective nuclear charges which are determined from the experimental data of ionization potential. The calculated Slater-Condon parameters agree well with the experimental values and show considerable improvement over those obtained from the Slater orbitals (with Slaters screening constants). Applications to the complex ions of the transition elements are discussed.

ELECTRON EXCITATION CROSS SECTION OF THE 3

The cross section of the

sup 2

3^{2}S\ensuremath{\rightarrow}3^{2}P

S

transition of sodium produced by electron impact has been calculated by performing a numerical integration of the set of three-channel differential equations. By means of this numerical procedure, it is no longer necessary to replace the nondiagonal matrix elements of the interaction potential by their asymptotic forms and to neglect the diagonal part of the interaction-potential matrix, as was done in the previous calculations. The cross sections calculated by this numerical scheme are smaller than those of the previous work, and the difference can be ascribed to the use of the true interaction potentials rather than their asymptotic forms. An outline of the general formulation of the numerical method for an

Yields

n

3

-channel case is given.

sup 2

The cross section of the

P TRANSITION OF SODIUM

3^{2}S\ensuremath{\rightarrow}3^{2}P

Electron Excitation Cross Section of the3S2→3P2Transition of Sodium

transition of sodium produced by electron impact has been calculated by performing a numerical integration of the set of three-channel differential equations. By means of this numerical procedure, it is no longer necessary to replace the nondiagonal matrix elements of the interaction potential by their asymptotic forms and to neglect the diagonal part of the interaction-potential matrix, as was done in the previous calculations. The cross sections calculated by this numerical scheme are smaller than those of the previous work, and the difference can be ascribed to the use of the true interaction potentials rather than their asymptotic forms. An outline of the general formulation of the numerical method for an

Electron Excitation Cross Section of the 3 S 2 → 3 P 2 Transition of Sodium

n