Many-electron effects in and operator forms for electron quadrupole transition probabilities

A many-electron theory for electric-quadrupole transitions is proposed. Correlated length and velocity results are evaluated for the transitions Li I 2s→3d, 2p→3p; Cs I 6s→5d, Ti III 3d²³F→3d²³P, 3d4s³D; Cu II 3d¹⁰ ¹S→3d⁹4s¹D; C III 2s²¹S→2p²¹D, 2s3d¹D, and Zn I 4s²→4s4d¹D, and found to be in good agreement. For Cs I, relativistic effects were also large.