Wave Functions for the Ground State of Lithium and Three‐Electron Ions
Improved wave functions and ionization potentials have been obtained for the configuration 1s2 2s, by using the variation method with a variation function containing four parameters. The wave function for the whole atom is of the determinant form, built up of K and L single‐electron functions. The K function used is hydrogen‐like with one parameter, the effective nuclear charge, and the L function is of the form αre—ηr—e—ζr. A simple rule is obtained by means of which it is possible to write down the wave function for any three‐electron ion without further calculation. The deviation of the calculated ionization potentials from the observed values is 0.9 percent for Li I and decreases to 0.3 percent for C IV. Comparison is made with the results of other investigators and curves showing the wave functions and electron density functions are given.
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