The mixing of the 4f 21S 0 state with the 4f5d states in Pr 3+ doped SrAl 12O 19

Abstract

The 1S 0 state of Pr 3+ in SrAl 12O 19 lies near to the 4f5d band. The admixing of the opposite parity 5d components by the crystal field without a symmetry center can be significant, thus affecting the properties of the 1S 0 state. In a crystal with D 3h symmetry, the major 4f5d components which can be mixed into 1S 0 are 2 −1/2(|fdΓ 1 1F 3 3〉-|fdΓ 1 1F 3-3〉) and 2 −1/2(|fdΓ 1 1H 5 3〉-|fdΓ 1 1H 5-3〉). A calculation of the 4f5d wavefunctions indicates that the states which may be mixed into 1S 0 lie mainly at the middle and upper parts of the 4f5d configuration. The mixed 4f 2 1S 0 wavefunction is then calculated and its spectral properties are discussed.