Spin-Lattice Relaxation in an Isotropic Elastic Continuum with Spherical Lattice Waves and a Cubic Crystal Field.

Abstract : Spin-lattice relaxation among hyperfine levels of the cubic systems Tm(2+):CaF2,Ho(2+):CaF2, and Er(3+):MgO is studied from zero to high magnetic fields. Relaxation rate expressions are derived employing a description of lattice dynamics in terms of normal modes of vibration transforming as spherical harmonics. Full use is made of symmetry considerations in formulating the ion-lattice interaction Hamiltonian and the computation of transition rates. Relaxation between ion levels not derived from a time conjugate pair of electronic states is discussed in detail, with particular attention to the Raman process which may exhibit a complex temperature dependence in such cases. (Modified author abstract)

[1]  M. Goldman,et al.  Spin-lattice relaxation of Kramers doublets with hyperfine structure in cubic symmetry , 1972 .

[2]  D. Franceschetti,et al.  Spin-Lattice Relaxation at Zero Magnetic Field. I. Phenomenological Theory of Relaxation among Hyperfine Levels , 1972 .

[3]  D. Newman,et al.  Spin–Lattice Relaxation and Elastic Properties for Rare‐Earth Substituted LaCl3 , 1971 .

[4]  R. Buisson,et al.  Reduction of the Number of the Independent Orbit-Lattice Parameters , 1970 .

[5]  R. Buisson,et al.  Spin-Lattice Relaxation in a Γ 8 Quartet: Er 3+ in MgO , 1970 .

[6]  C. Anderson,et al.  Spin-Lattice Relaxation of Tm2+ in CaF2, SrF2, and BaF2 , 1970 .

[7]  M. Walker.  A T5 spin–lattice relaxation rate for non-Kramers ions , 1968 .

[8]  Z. Kiss,et al.  Energy Levels and Spectra of Ho 2+ in CaF 2 , SrF 2 , BaF 2 , and SrCl 2 , 1967 .

[9]  K. Stevens.  The theory of paramagnetic relaxation , 1967 .

[10]  D. Descamps,et al.  Étude de la structure hyperfine de l'ion Er3+ dans un monocristal de MgO , 1966 .

[11]  R. Bessent,et al.  Electron nuclear double resonance of divalent thulium in calcium fluoride , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[12]  E. Kankeleit,et al.  Electronic shielding by closed shells in salts of thulium , 1964 .

[13]  Chao-Yuan Huang.  PARAMAGNETIC RELAXATION OF SOME RAREEARTH IONS IN DIAMAGNETIC CRYSTALS , 1964 .

[14]  B. Bleaney.  The spectrum of Tm III in CaF2 , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  Y. M. d’Aubigné,et al.  Electron paramagnetic resonance of the Er 3+ ion in magnesium oxide , 1964 .

[16]  H. R. Lewis,et al.  Paramagnetic Resonance of Divalent Holmium in Calcium Fluoride , 1963 .

[17]  Z. Kiss.  Energy Levels of Divalent Thulium in CaF2 , 1962 .

[18]  C. Jeffries,et al.  SPIN-LATTICE RELAXATION IN SOME RARE-EARTH SALTS AT HELIUM TEMPERATURES OBSERVATION OF THE PHONON BOTTLENECK , 1962 .

[19]  R. Orbach,et al.  SPIN-LATTICE RELAXATION IN MULTILEVEL SPIN SYSTEMS , 1962 .

[20]  D. Huffman,et al.  Specific Heat and Elastic Constants of Calcium Fluoride at Low Temperatures , 1960 .

[21]  S. Bhagavantam.  Elastic properties of single crystals and polycrystalline aggregates , 1955 .

[22]  J. V. Vleck.  Paramagnetic Relaxation Times for Titanium and Chrome Alum , 1940 .

[23]  P. Debye.  Zur Theorie der spezifischen Wärmen , 1912 .