The Electric Field Gradient Tensor
The quadruple splitting of Fe57 Mösshauer spectra has not been generally useful for structure and bonding studies, although many useful applications have been made of isomer shift. This is so for good reason—the quadrupole splitting is a function of the two independent parameters of the electric field gradient (efg) tensor. Alone, it determines neither parameter. Several methods exist for the determination of these parameters, and the most generally applicable one is due to Ruby and Flinn. A large magnetic field., typically produced by a superconducting magnet, splits the remaining degeneracies and gives characteristic distortions to the initially quadrupole-split lines. J. R. Gabriel’s theoretical program for this effect, modified slightly, has been run on a fast digital computer for a number of fields, splittings, line widths, and parameters of the efg tensor. Local vibrational anisotropy is explicitly omitted in this treatment. The results are generally useful m guiding the interpretation of magnetically split spectra. Applications are discussed. The method appears to possess general utility, and should enlarge considerably the contribution of Mösshauer spectroscopy to studies of structure and bonding. There results are applicable to Sn119 compounds as welL.
KeywordsQuadrupole Splitting Asymmetry Parameter Hamiltonian Matrix Ferrous Ammonium Sulfate Electric Field Gradient Tensor
Unable to display preview. Download preview PDF.
- 1.O, C. Kistner and A. W. Sunyar,Phvs. Rev. Letters 4: 4.12 (I960).Google Scholar
- 2.M. H. Cohen and F. Reif, Solid State Physics 5: 324 (1957),Google Scholar
- 3.S. L. Rubv and P. A. FI.Inn, Rev. Mod, Phys. 36: 3 51 (1964).Google Scholar
- 4.R. M. Sternheimer al. t Phvs. Rev. 80: 102 (1950); 84: 244 (1951); 93: 734 (1954); 102: 731 (1956).Google Scholar
- 5.F. A. Cotton arid G.. Wilkinson, Advanced Inorganic Chemistry (Interscience Publishers, New York and London, (1963), p. 563.Google Scholar
- 6.E. Fluck, W. Kerler, and W. Neuwirth, Angew. Chem. 2: 277 (1963) (International Edition)Google Scholar
- 7.R. L. Collins, L Travis, and. K. Maer (to be published., 1967 ).Google Scholar
- 8.S. V. Karyagin, Dokl. Akad. Nauk SSSR 148: 1102 (1963). English translation, Proc. Acad, ScL USSR, PAjs. Cäem. Sec. 148: 110 (1964),Google Scholar
- 9.R. S. Preston, S.S. Manna, and J,Heberle, Phys. Rev. 128: 2207 (1962),Google Scholar
- 10.E. U.-Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, England, 1959), p, 76; M. E, Rose, Elementary Theory of Angular Momentum ( John Wiley and Sons, New York, 1957 ), p. 32.Google Scholar
- 11.R. L. Collins, /, Chem, Phys. 42: 1072 (1965).Google Scholar
- 12.J.R. Gabriel and 3, L, Ruby, NucL Instr. Metk 36: 23 (1965),Google Scholar