Hostname: page-component-848d4c4894-sjtt6 Total loading time: 0 Render date: 2024-06-16T00:54:03.307Z Has data issue: false hasContentIssue false

Variation of refractive index with ionization potential in some isostructural crystals

Published online by Cambridge University Press:  14 March 2018

L. H. Ahrens*
Affiliation:
Department of Chemistry, University of Cape Town

Summary

A closer understanding of the causes for the variation of refractive index with change of composition has been sought in terms of certain properties of ions. The study is confined to isostructural ionic crystals. It is assumed that polarization of the anions (usually O2− or F) makes the principal contribution to the total refractive index effect, and that variation of refractive index is determined mainly by variable anion polarization. Polarization of the anion is controlled largely by the field in which it finds itself which, in turn, depends on the effective force of attraction of the cation: ionization potentials are used for the purpose of comparing such forces. For compounds involving pairs of 8- and 18-electron cations (Mg2+ and Zn2+; Al3+ and Ga3+; Si4+ and Ge4+; Ca2+ and Cd2+) or pairs of transition cations (Zr4+ and Hf4+; Nb5+ and Ta5+; Mo6+ and W6+) refractive indices are higher in the crystal that contains the cation of the element with the higher ionization potential. For larger suites of cations of various types (for example, Mg2+, Mn2+, Fe2+, Co2+, Ni2+, Cu2+, and Zn2+, radii from 0·65 to 0·80 Å.) the predicted relationship between ionization potential and refractive index holds precisely for the compounds A2SiF6.6H2O (A2+, etc.), but only in part for other compounds; this may be due to the effect of the crystal field on certain 3d transition cations.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1958

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abragam, (G.) and PRYCE (M. H. L.), 1951. Proc. Roy. Soc., ser. A, Vol. 206, p. 173.Google Scholar
Ahrens, (L. H.), 1953. Geochimica Acta, Vol. 3, p. 1.Google Scholar
Ahrens, (L. H.), and Morris (D. F. C.), 1956. Journ. Inorg. Nucl. Chem., Vol. 3, p. 270.Google Scholar
Barth, (T. F. W.), 1930. Amer. Journ. Sci., ser. 5, Vol. 19, p. 143.Google Scholar
Coombs, (D. S.), 1954. Min. Mag., Vol. 30, p. 409.Google Scholar
Fajans, (K.) and Kreidl, (N. J.), 1948. Journ. Amer. Ceram. Soc., Vol. 31, p. 105.Google Scholar
Gaubert, (P.), 1926. Compt. Rend. Congrès Soc. Sav., p. 402.Google Scholar
Goldschmidt, (V. M.), 1926. Skrifter Norske Vidensk.-Akad., Mat.-nat. Kl., No. 2.Google Scholar
Goldsmith, (J.), 1950. Journ. Geol., Chicago, Vol. 58, p. 518.Google Scholar
Hess, (H. H.), 1949. Amer. Min., Vol. 34, p. 621.Google Scholar
Hofmann, (W.), 1931. Zeits. Krist., Vol. 78, p. 279.Google Scholar
Hori, (F.), 1954. Sci. Papers Coll. Gen. Educ., Tokyo, Vol. 4, p. 71.Google Scholar
Hori, (F.), 1956. Min. Journ. [Japan], Vol. 1, p. 359.Google Scholar
Jaffe, (H. W.), 1956. Amer. Min., Vol. 41, p. 757.Google Scholar
Kennedy, (G. C.), 1947. Ibid., Vol. 32, p. 561.Google Scholar
Larsen, (E. S.), 1921. U.S. Geol. Surv., Bull. 679, p. 30.Google Scholar
Larsen, (E. S.), and Berman, (H.), 1934. Ibid., Bull. 848, p. 30.Google Scholar
Winchell, (A. N.), 1931. The microscopic characters of artificial inorganic solid substances or artificial minerals. New York (John Wiley).Google Scholar
Winchell, (A. N.), and Winchell, (H.), 1951. Elements of optical mineralogy, Part 2. New York (John Wiley).Google Scholar