Abstract
Recently, we observed ultraviolet luminescence in CaF2:Yb3+ under the excitation of a 980 nm laser. In this paper, cooperative transition theory of three identical lanthanide ions is built through perturbed wave functions of a three-body system with electric multipole interactions. The theoretical results show that d-dd-dq and crystal field effected d-dd-dfd are the main mechanisms in the triple transition processes. The transition rate ratio of Yb3+-dimers and Yb3+-trimers in an Yb3+-hexamer is calculated to be ∼1.86×104. This is in reasonable agreement with the experimentally obtained cooperative luminescence intensity ratio of ∼2.0×104 in CaF2:Yb3+ under the excitation of a 980 nm laser.
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