Upper and lower bounds to atomic and molecular properties. III. Lithium oscillator strengths for variousS2−P2transitions

Wave functions, which include interelectron coordinates explicitly, are calculated for the four lowest ${}_{}{}^2{}_{}{}^{}S$ and four lowest ${}_{}{}^2{}_{}{}^{}P$ states of Lii. These wave functions are used to calculate oscillator strengths, including upper and lower bounds, for the 16 lines arising from allowed transitions among these four ${}_{}{}^2{}_{}{}^{}S$ and four ${}_{}{}^2{}_{}{}^{}P$ states. The results of this study are oscillator strengths for the $1s^2\mathrm{ns}{}_{}{}^2{}_{}{}^{}S\to 1s^2\mathrm{mp}{}_{}{}^2{}_{}{}^{}P$ Lii transitions for which $n$, $m=2, 3, 4, 5$ with rigorous upper and lower bounds which in the best case ($1s^{2}2s{}_{}{}^2{}_{}{}^{}S\to 1s^{2}2p{}_{}{}^2{}_{}{}^{}P$) are 3.5%.