Abstract
Most published analyses of garnet deviate from structural ideality. Consequently, compositions expressed as molecular percentages of end-member molecules may differ if different re-calculation sequences have been used. A suitable standard calculation procedure is presented, and is demonstrated to be satisfactory by its application to 69 published analyses of garnets both common and rare.
It is seldom necessary to use molecules other than pyrope, almandine, spessartine, grossular, andradite, uvarovite and hydrogrossular, and most analyses can be recast into four or less molecules which exceed 3% of the garnet. This means that most analyses can be visually displayed in a composition tetrahedron.
It is suggested, that the percentage number of cations which can be allocated to garnet molecules is a figure useful for assessment of analytical quality. More than 95% of the cations can be so allocated in the majority of the analyses considered.
Full details of the proposed scheme are appended together with a worked example which demonstrates the abbreviated procedure which applies to most common garnets. A compilation is given of the common physical properties which have been measured for synthetic end-member garnets of the types used in the calculation scheme.
Similar content being viewed by others
References
Berry, L. G.: X-ray powder diffraction file card 9-427. Philadelphia: Am. Soc. Testing Materials, revised June 1967.
Boyd, F. R., and J. L. England: Pyrope. Rep. Dir. geophys. Lab. Carnegie Instn., 83–87 (1958/59).
Brandenberger, E.: Kristallstrukturelle Untersuchungen an Ca-Aluminathydraten. Schweiz. mineral. petrogr. Mitt. 13, 569–570 (1933).
Coes Jr., L.: High pressure minerals. J. Am. Ceram. Soc. 38, 298 (1955).
Cohen-Addad, C., P. Ducros, A. Durif, E. F. Bertaut et A. Delapalme: Détermination de la position des atomes d'hydrogène dans l'hydrogrenat Al2O3·3CaO·6H2O, par résonance magnétique nucléaire et diffraction neutronique. J. phys. radium 25, 478–483 (1964).
Dana, E. S.: Descriptive mineralogy, 6th ed. New York: John Wiley & Sons 1903.
Deer, W. A., R. A. Howie, and J. Zussman: Rockforming minerals, vol. 1, Ortho- and ring silicates. London: Longmans, Green & Co. Ltd. 1962.
Eiger, A.: Rev. matéraux construct. et trav. publ. 33, 141–142 (1937).
Espinosa, G. P.: A crystal chemical study of titanium and chromium substituted yttrium iron and gallium garnets. Inorg. Chem. 3, 848 (1964).
Fermor, L. L.: On the composition of some Indian garnets. Records Geol. Survey India 59, pt. 2, 191–207 (1926).
—: On khoharite, a new garnet and on the nomenclature of garnets. Records Geol. Survey India 73, pt. 1, 145–156 (1938).
—: On a new chrome-garnet. Geol. Mag. 89, 145–147 (1952).
Flint, E. P., H. F. McMurdie, and L. S. Wells: Hydrothermal and X-ray studies of the garnet — hydrogarnet series and the relationship of the series to hydration products of Portland cement. J. Research Natn. Bur. Standards 26, 13–33 (1941);-Res. Pap. U.S. Natn. Bur. Standards RP 1355 (1941).
Foreman: See McConnell 1966.
Fujii, T.: Correlation of some physical properties and chemical composition of solid solution Am. Mineralogist 45, 370–382 (1960).
Geller, S.: Magnetic interactions and distribution of ions in the garnets. J. Appl. Phys. 31, 30S-37S (1960).
—, and C. E. Miller: The synthesis of uvarovite. Am. Mineralogist 44, 445–446 (1959a).
—: Substitution of Fe3+ for Al3+ in synthetic spessartite. Am. Mineralogist 44, 665–667 (1959b).
—: Silicate garnet — yttrium iron garnet solid solutions. Am. Mineralogist 44, 1115–1120 (1959c).
—, and R. G. Treuting: New synthetic garnets. Acta Cryst. 13, 179–186 (1960).
Gentile, A. L., and R. Roy: Isomorphism and crystalline solubility in the garnet family. Am. Mineralogist 45, 701–711 (1960).
Gilleo, M. A., and S. Geller: Magnetic and cristallographic properties of substituted yttrium-iron garnet, 3Y2O3·xM2O3·(5−x)Fe2O3. Phys. Rev. 110, 73–78 (1958).
Gorgeu, A.: Sur la production artificielle de la spessartine ou grenat magnanesifère. Compt. rend. 97, 1303 (1883). [Abstract-Econ. Geol. 32, 645 (1937)].
Imperial Chemical Industries, Northwich, England. X-ray powder diffraction file card 2-1124. Philadelphia: Am. Soc. for Testing and Materials 1950.
Ito, J., and C. Frondel: Synthetic zirconium and titanium garnets. Am. Mineralogist 52, 773–781 (1967).
Keith, M. L., and R. Roy: Structural relations among double oxides of trivalent elements. Am. Mineralogist 39, 1–23 (1954).
Klimenko, Z. G., and V. A. Tikhonov: Synthesis and study of manganese hydrated garnets. Eksperiment v. Tekhn. Mineralog. i Petrogr., po Materialam Soveshch., 7th Lvov 1964, 64–69 (1966) [Chem. Abstr. 65-11732a].
Lung, T. Y.: Hydrougrandite, a new variety of hydrogarnet from Hsiaosungshan. Ti Chich Hsüeh Pao 44, 219 (1964). [Abstracts — Bull. soc. franç. minéral. et crist. 88, 359 (1965) and Am. Mineralogist 50, 2100 (1965)].
Matthes, S.: Ergebnisse zur Granatsynthese und ihre Beziehungen zur natürlichen Granatbildung innerhalb der Pyralspit-Gruppe. Geochim. et Cosmochim. Acta 23, 233–294 (1961).
McConnell, D.: Refringence of garnets and hydrogarnets. Can. Mineralogist 8, 11–21 (1964).
—: Propriétés physiques des grenats. Calcul de la dimension de la maille unité à partir de la composition chimique. Bull. Soc. franç. minéral. et crist. 89, 14–17 (1966).
—: Crystal chemical calculations. Geochim. et Cosmochim. Acta 31, 1479–1487 (1967).
Menzer, G.: Die Kristallstruktur der Granate. Z. Krist. 69, 300–396 (1928).
Milton, C., B. L. Ingram, and L. V. Blade: Kimzeyite, a zirconium garnet from Magnet Cove, Arkansas. Am. Mineralogist 46, 533–548 (1961).
Moench, R. H., and R. Meyrowitz: Goldmanite, a vanadium garnet from Laguna, New Mexico. Am. Mineralogist 49, 644–655 (1964).
Naka, S., O. Takenaka, T. Sekiya, and T. Noda: Effect of pressure on the formation of compounds in the system Y2O3-Al2O3. Kogyo Kagaku Zasshi 69, (6), 1112–1116 (1966). (Chem. Abstr. 66-99206u).
National Bureau of Standards: Natn. Bur. Standards (U.S.), Monogr. 25 Sect. 4 (1965).
Nixon, P. H., O. Von Knorring, and J. M. Rooke: Kimberlites and associated inclusions of Basutoland: a mineralogical and geochemical study. Am. Mineralogist 48, 1090–1132 (1963).
Piddington, H.: J. Asiatic Soc. Bengal 19, 145 (1851).
Rickwood, P. C.: On the quality of representative mineral concentrates. Geochim. et Cosmochim. Acta 30, 545–551 (1966).
Roy, D. M., and R. Roy: System CaO-Al2O3-SiO2-H2O. VI. The grossularite — 3 CaO·Al2O3·6H2O join. Bull. Geol. Soc. Am. 68, 1788 (1957).
Sastri, G. G. K.: Note on a chrome and two manganese garnets from India. Mineral. Mag. 33, 508–511 (1963).
Schwarz, H.: Neue Verbindungen mit Granatstruktur. II. Hydrogranate. Z. Naturforsch. 22b, 554–556 (1967).
Skinner, B. J.: Physical properties of end-members of the garnet group. Am. Mineralogist 41, 428–436 (1956).
Snow, R. B.: Equilibrium relationships on the liquidus surface in part of the MnO-Al2O3-SiO2 system. J. Am. Ceram. Soc. 26, 11–20 (1943).
Strens, R. G. J.: Synthesis and properties of calcium vanadium garnet (Goldmanite). Am. Mineralogist 50, 260 (1965).
Swanson, H. E. et al.: Standard X-ray diffraction powder patterns. Circ. U.S. natn. Bur. Stand. 539, 9, 22–23 (1959).
—, M. I. Cook, E. H. Evans, and J. H. De Groot: Standard X-ray diffraction powder patterns. Circ. U.S. Natl. Bur. Stand. 539, 10, 17 (1960).
Tarte, P.: Infrared spectra of garnets. Nature 186, 234 (1960a).
—: Recherches sur la spectre infrarouge des silicates II — Détermination du rôle structural du titane dans certains silicates. Silicates inds. 25, 171–175 (1960b).
Thorvaldson, T., N. S. Grace, and V. A. Vigfusson: The hydration of the aluminates of calcium. II. The hydration production of tricalcium aluminate. Can. J. Research 1, 201–213 (1929).
Vermaas, F. H. S.: Manganese-iron garnet from Otjosondu, South West Africa. Mineral. Mag. 29, 946–951 (1952).
Weiss, R., and D. Grandjean: Structure de l'aluminate tricalcique hydraté, 3 CaO·Al2O3·6 H2O. Acta cryst. 17, 1329–1330 (1964).
Yoder, H. S.: Garnets and staurolite. Rep. Dir. geophys. Lab. Carnegie Instn. No. 53, 120–121 (1953/54).
—, and M. L. Keith: Complete subsitution of aluminium for silicon: the system 3 MnO·Al2O3·3 SiO2-3 Y2O3·5 Al2O3. Am. Mineralogist 36, 328 (1951).
Yoshimura, T., and H. Momoi: Vanadium silicate minerals from the Yamato Mine, Kagoshima Prefecture, Japan. Scient. Rep. Fac. Sci. Kyushu Univ. 7, Geol. 85–90 (1964).
Zen E-AN: Validity of “Vegard's Law”. Am. Mineralogist 41, 523–524 (1956).
Author information
Authors and Affiliations
Additional information
S.A. UMP Publication No. 5.
Rights and permissions
About this article
Cite this article
Rickwood, P.C. On recasting analyses of garnet into end-member molecules. Contr. Mineral. and Petrol. 18, 175–198 (1968). https://doi.org/10.1007/BF00371808
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00371808