Crystal-field determination for trivalent thulium in yttrium orthoaluminate

1 November 1976

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 14 (9), 3732-3743
https://doi.org/10.1103/physrevb.14.3732

Abstract

The polarized absorption spectra of

{YAlO}_{3}

{Tm}^{3 +}

were analyzed at 77°K. A free-ion calculation was performed by fitting the centers of gravity of the

J

manifolds. The coefficients which gave the best least-squares deviation of the calculated "free-ion" spectra from the observed "free-ion" spectra were

E^{1} = 7075.5

E^{2} = 33.8

E^{3} = 654.3

ζ = 2631.8

α = 8.0

β = - 764.9

; where all parameters have units of

{cm}^{- 1}

. A crystal-field calculation was also carried out by fitting Stark splittings and irreducible representations to the observed spectra. In order to obtain good starting parameters for fitting a

C_{s}

(

C_{1 h}

) symmetry Hamiltonian, a descending symmetries technique was used. The results of a least-squares fit of the crystal-field Hamiltonian to the observed

{}^{3}F_{4}

{}^{3}F_{3}

{}^{1}G_{4}

, and

{}^{1}D_{2}

Stark splittings gave the following parameters for the

C_{s}

Hamiltonian:

B_{0}^{2} = - 434.9

Re B_{2}^{2} = 420.8

Im B_{2}^{2} = 199.4

B_{0}^{4} = - 691.6

Re B_{2}^{4} = 444.9

Im B_{2}^{4} = 114.2

Re B_{4}^{4} = 501.2

Im B_{4}^{4} = - 389.2

Keywords

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