Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-19T01:51:16.787Z Has data issue: false hasContentIssue false

Mineral Dielectric Constants and the Oxide Additivity Rule

Published online by Cambridge University Press:  21 February 2011

M. A. Subramanian
Affiliation:
Central Res. Dept., Experimental Station, E. I. Du Pont de Nemours & Co., Inc., Wilmington, DE 19880-0356 Contrib. No. 5108
A. N. Marian
Affiliation:
48 Page Brook Rd., Carlisle, MA 01741
G. R. Rossman
Affiliation:
Div. Geol. Planetary Sci., Calif. Inst. Tech., Pasadena, CA 91125
Get access

Abstract

The 1 Miz dielectric constants of a variety of synthetic aluminate garnets: Y3Al5O12, Ho3A15O12, Y2.93Nd.07Sc2Al3O12 and Gd2.95Nd.05Sc1 98Cr .02A13O12 and several silicates: CaB2Si2O8 (danburite), Ca3Al2Si3O12 (grossular) and Mg2Al4Si5O18(cordierite) were determined using the two-terminal method with edge corrections. These data and polarizabilities derived from the published single crystal dielectric constants of simple oxides were used to compare compound polarizabilities obtained from the Clausius-Mosotti equation and the oxide additivity rule.

Type
Research Article
Copyright
Copyright © Materials Research Society 1989

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

REFERENCES

1. Roberts, R., Phys. Rev. 76, 12151220 (1949); Phys. Rev. 77, 258–263 (1950); Phys. Rev. 81, 865–868 (1951).Google Scholar
2. Szigeti, B., Trans. Farad. Soc. 45, 155166 (1949).Google Scholar
3. Megaw, H.D., Ferroelectricity in Crystals, (Methuen, London, 1975), pp. 165178 Google Scholar
4. Dunmur, D.A., Molec. Phys. 23, 109115 (1972).Google Scholar
5. Lasaga, A.C. and Cygan, R.T., Am. Mineral. 67, 328334 (1982).Google Scholar
6. Cheng, C.K., Phil. Mag. 30, 505515 (1940).Google Scholar
7. Heydweiller, A., Z. Phys. 3, 308317 (1920).Google Scholar
8. Jonker, G.H. and Van Santen, J.H., Chemisches Weekblad 43, 672679 (1947).Google Scholar
9. Rao, D.A.A.S. Narayana, Proc. Ind. Acad. Sci. 25A, 408412 (1947); Proc. Ind. Acad. Sci. 30A, 82–86 (1949); Proc. Ind. Acad. Sci. 30A, 317–319 (1949).Google Scholar
10. Armstrong, J. T., in Microbeam Analysis, edited by Newbury, D.E. (1988) pp. 239246.Google Scholar
11. Brown, A. and Foris, C. M., Adv. X-Ray Anal. 26, 53 (1982).Google Scholar
12. Rossman, G. R., Rauch, F., Livi, R., Tombrello, T. A., Shi, C. R., and Zhou, Z. Y., N. Jb. Mineral. Mh. 1988, 172178 (1988); R. S. Aines and G. R. Rossman, Amer. Mineral. 69, 319–327 (1984).Google Scholar
13. Subramanian, M.A., Shannon, R.D., Chai, B.H.T., Abraham, M.M. and Wintersgill, M.C., submitted to Phys. Chem. Minerals.Google Scholar
14. Hewlett-Packard, , Operating Manual for 4275A Multi-Frequency LCR Meter, Yokogawa-Hewlett-Packard Ltd., Tokyo (1984).Google Scholar
15. Field, R.F., Proc. ASTEA, Am. Soc. Testing Mats. 54, 456478 (1954).Google Scholar
16. Bussey, H.E., Gray, J.E., Bamberger, E.C., Rushton, E., Russell, G., Petley, B.W. and Morris, D., IEEE Trans. on Instrumentation and Measurement, Vol. IM–13, 305311 (1964).Google Scholar
17. Bussey, H.E., Proc. IEEE 55, 10461053 (1967).Google Scholar
18. Andeen, C., Fontanella, J. and Schuele, D., Rev. Sci. Instr. 41, 15731576 (1970); J. Appl. Phys. 42, 2216–2219 (1971).Google Scholar
19. Donnay, J.D.H. and Ondik, H.M., Crystal Data- Determinative Tables. Vol. II. Inorganic Compounds. U.S.Dept. of Commerce, National Bur. Stds., JCPDS (1973).Google Scholar
20. Fontanella, J., Andeen, C. and Schuele, D., J. Appl. Phys. 45, 28522854 (1974).Google Scholar
21. Aleksandrov, V.I., Voronov, V.V., Kalabukhova, V.F., Kuzminov, Y.S., Tatarintsev, V.M., Soy. Phys., Lebedev Inst. Rep. (4) 21–26 (1975).Google Scholar
22. Westphal, W.B. and Sils, A., U.S. National Technical Information Service AFML-TR-72–39 (1972).Google Scholar
23. Dulepov, E.V., Batsonov, S.S. and Kustova, G.N., J. Struct. Chem. 13, 935938 (1972).Google Scholar
24. Shannon, R.D. and Subramanian, M.A., submitted to Phys. Chem. Minerals.Google Scholar
25. Shannon, R.D., Subramanian, M.A. and Rossman, G.R., unpublished data.Google Scholar