Analysis of the optical spectrum of Ho3+ in LiYF4 |
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Authors: | N. Karayianis D.E. Wortman H.P. Jenssen |
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Affiliation: | Harry Diamond Laboratories, Washington, DC 20438, U.S.A.;Center for Materials Science and Engineering and Department of Electrical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A. |
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Abstract: | The energy levels for Ho3+ in single crystal LiYF4 from 0–21,300 cm?1 have been determined from polarized absorption and fluorescence spectra using crystals at temperatures between 4 and 300°K. Energy level assignments were made initially by comparing the crystal spectra with energy levels calculated by using crystal field parameters interpolated from previously reported analyses of Nd3+, Er3+ and Tm3+ in LiYF4. The energy level scheme identifies energy levels in the 10 lowest J-multiplets and gives calculated energies for the next six higher J-multiplets. The crystal field parameters were varied to obtain a best fit between experimental and theoretical energies, and the final values B20 = 410, B40 = ? 615, B44 = 819, B60 = ? 27.9 and B64 = 677 ± i32.8 cm?1 give an r.m.s. fit of 2.78 cm?1. The calculations were made by diagonalizing the crystal field Hamiltonian, Hx = ΣkmBkmCkm, in the space of ten lowest J-multiplets spanned by intermediate coupled free-ion wavefunctions calculated using the free-ion parameters of Carnall et al. for Ho in aqueous solution. The calculated g∥ for the Γ3.4 ground state of 13.63 compares favorably with a previously reported value of 13.3 ± 0.1. |
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