Self-Broadening of Optical Double Resonance Lines in Cadmium

Abstract

Collision broadening studies have been made of optical double resonance lines in cadmium. The results indicate that the collision frequency is velocity dependent, contrary to the usual theory of resonance self-broadening. This result supports the suggestion that the broadening results from interactions involving a number of intermediate states rather than only the initial and final states of the optical transition, because of the small oscillator strength ($f=0.002\mathrm{}$) for transitions between the ${\mathrm{}\left(5s\right)\mathrm{}}^2{}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ ground state and the excited state in question $\mathrm{}\left(5s5p\right)\mathrm{}{}_{}{}^3{}_{}{}^{}P_1^{}{}_{}{}^{}$. The cross section in this case has a $\frac{1}{{{\overline{v}}_{12}}^{\frac{2}{5}}}$ velocity dependence, so the collision frequency varies as ${{\overline{v}}_{12}}^{\frac{3}{5}}$. Measurements show that under this assumption the self-broadening cross section for cadmium is ${\sigma }_{\mathrm{coll}}=(1.9\mathrm{}\pm 0.3)\times {10}^{-12\mathrm{}}{\mathrm{cm}}^2/{{\overline{v}}_{12}}^{\frac{2}{5}},$ where ${\overline{v}}_{12}$ is the average relative velocity in cm/sec. In the course of this work, the lifetime of the $(5s, 5p){}_{}{}^3{}_{}{}^{}P_1^{}{}_{}{}^{}$ state was redetermined and found to be (2.39±0.04)×${10}^{-6\mathrm{}}$ sec.