The Crystal Field for Nd³⁺ in Garnets

Abstract

A crystal field analysis of the reported optical spectra of NdS+ in the series of aluminium and gallium garnets LuAG, YAG, GGG, LuGG, and YGG is presented. The reliability of the crystal field parameters determined in this way is confirmed by comparison with ESR g-values given in the literature. The results obtained represent a basis for a further study of the relation between the crystal field parameters of rare earths in garnets and the structure of the coordination dodecahedron. OnTEisecKEix cneKTpoB HoHaNds+ B rpaHaTax-amoMuHaTax EI rannaTax LuAG, YAG, npeAJIOmeH aHaJIU3 KPUCTaJIJIHUeCHOrO IIOJIH, IIpOBeAeHHbIfi Ha OCHOBe Ony6JIHKOBaHHbnr GGG, LUGG Ei YGG. HanemHocTb onpeneneHHbnr TaKHEi o6pa30~ napaMeTpoB KpucTan-JIEiUeCKOrO nOJIR IIOATBepmAeHa CpaBHeHUeM C HOCTynHbIMEl lUlHHbIMH IIO g-@KTOpaM 3IIP. IIonysemme p e a y n b~a~b~ npencTaBnsm OCHOBY HJIX nanbHefimero ~3 y s e~n~ CooTHomeHHfi Memny napaMeTpaMu KpucTannEigecHoro nonR HOHOB penmx 3e~enb B rpaHaTaX U CTPYKTYPOfi HOOPAUHaIJUOHHbIX AOAeKa3APOB.

A scalar crystal field strength parameter for rare-earth ions : meaning and usefulness

“…Equation (11) can be viewed as the quadratic equation of a quadric surface (an ellipsoid centred at the origin) in the k-space. We replace it by a sphere of the same volume, assuming From equations (14) and (11), the relation with the maximum splitting is found to be 3. Discussion of the approximation.…”

“…In figure 2 experimental points for AE(4I9/2) versus N,(Bq) from Bq' of the literature [12][13][14][15][16][17] are compared to the equation (15) line. One can notice that a fit would keep the slope of the line but would give a positive intercept on AE.…”

“…Table II. -N, parameters obtained from B § from the literature for different crystals doped with Nd3 + (*) In [4], Nv approximate was given as 3 575 cm-1 as computed from the B"s of Morrison et al (J. Phys. C 9 (1976) L 191 ) reproduced in [ 14]. Table III. -N,, parameters obtained from BN [ 12] for different ions in LaF3 and ratio (AEexp/ AEth) of experimental to predicted maximum splitting of the 4I13/2 term because we predicted it to be a good probe for several ions simultaneously (Nd3 +, Sm3 +, Dy3 +, Er3+) and because we have a complete set of homogeneous results in LaF3 [12].…”

Crystal-Field Dependence of the Magnetic Linear Birefringence in Paramagnetic Rare-Earth Garnets

“…la, 2) and magnetization data; (ii) Kramers doublet (~d~+ , yb3+). Ail sets of CF parameters available for ~d~+ in different gallium garnets [5] describe well the magnetization of NdGG. The calculated MLB which is the same for all these sets, is in qualitative agreement with NdGG data (Figs.…”