The relativistic Fock-space coupled-cluster methods are applied to the cadmium atom. A large number of transition energies and matrix elements are calculated for the $5s^2{}^{1}S\to 5snp{}^{1,3}P^o, 5s6s{}^{1}S\to 5snp{}^{1,3}P^o$, and $5s5d{}^{1}D\to 5snp{}^{1,3}P^o$ transitions for a wide range of $p$ states accounting for relativistic and electron-correlation effects. The results obtained within two different approaches (Fock-space coupled cluster and configuration interaction) are compared with available experimental and theoretical data. Good agreement is found between the two methods for transitions involving low-lying excited $p$ states, whereas for high-lying states the discrepancy becomes large. The calculated values are used to determine the third-order nonlinear susceptibility of cadmium vapor, with an agreement within 5% between the different methods. The results of the present computations support the feasibility of generating vacuum-ultraviolet light in Cd vapor via a four-wave mixing process for the direct excitation of the ${}^{229}\mathrm{Th}$ nucleus.

Close

PrevNext

View figure in article

• Electron correlation calculations for atoms & ions
• Electronic structure of atoms & molecules
• Electronic transitions
• Atoms
• Configuration interaction
• Coupled cluster
• Hartree-Fock methods