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The Modulated Structure of the Intermediate Plagioclases and Its Change with Composition

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Feldspars and Feldspathoids

Part of the book series: NATO ASI Series ((ASIC,volume 137))

Abstract

Since the discovery of satellite reflections in the intermediate plagioclase feldspars of composition An~25 – An~75, the so-called e-plagioclases, many models have been presented for these modulated structures. Recent X-ray diffraction studies of the modulated structure have indicated coexistence of density and shift modulations of atoms in the structure. The fundamental difference between the models is in the treatment of the second harmonic of the density modulation of the (Na, Ca) atoms. The model in which the second harmonic is considered negligible gives alternating arrangement of Na and Ca in consecutive subcells. On the other hand, the model in which the second harmonic is considered important, gives alternating anorthite-like and albitelike bands running perpendicular to the t vector. Although it is not easy to decide which model is correct only from the intensities of the satellite reflections, crystal-chemical considerations of the resultant structures and electron microscopy of the antiphase domain boundaries (APBs) support the second model. In the second model, the modulated structure of the e-plagioclases consists of albite-like and anorthite-like bands, both of which change their orientation and width with composition.

Three interpretations on the state of the e-plagioclases have been published : (1) an incipient stage of the decomposition to the stable assemblage, (2) a resonance structure, (3) an II structure stabilized by a periodic arrangement of APBs. The second X-ray structural model supports a resonance structure between Ca-rich I-anorthite and Na-rich I-albite. The orientation of the modulation wave in the modulated structure in the e-plagioclases may perhaps be explained by elastic energy.

In both calculations of the orientation, the special character of the regular arrangement of the e-APBs and the stabiblization energy have not been taken into consideration. Therefor, more exact treatments are necessary to explain the change of the orientation and width of the albite-like bands with composition change.

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References

  • Adlhart,W. (1982) Dynamic structure factors for excitations in modulated structures. Acta Crystallographica, A38, 498–504.

    Google Scholar 

  • Baker,D.W. and Carter,N. (1972) Seismic velocity anisotropy calculated for ultramafic minerals and aggregates in Flow and Fracture of Rocks. Geophysical Monograph Series 16, 157–166.

    Article  Google Scholar 

  • Bursill,L.A., Netherway,D.J. and Grey,I.E. (1978) Composition waves in iron-doped rutile and the relationship between Young’s modulus minima and crystallographic shear orientations. Nature, 272, 405–410.

    Article  Google Scholar 

  • Carpenter,M.A., McConnell,J.D.C. and Navrotsky,A. (1983) Order/ disorder in plagioclase feldspars: experimental delineation of the “e“ and II stability fields and associated enthalpy relations. Programme and Abstracts of 3rd NATO Advanced Study Institute, 30.

    Google Scholar 

  • Chao,S.H. and Taylor,W.H. (1940) Isomorphous replacement and superlattice structure in the plagioclase feldspars. Proceedings of the Royal Soceity of London, 176A, 76–87.

    Article  Google Scholar 

  • Cole,W.F., Sörum,H. and Taylor,W.H. (1951) The structure of the plagioclase feldspar. I. Acta Crystallogrphica, 4, 20–29.

    Article  Google Scholar 

  • Doman,R.C., Cinnamon,C.G. and Bailey,S.W. (1965) Structural discontinuities in the plagioclase feldspar series. American Mineralogist, 50, 724–740.

    Google Scholar 

  • Fleet,M.E. (1981) The intermediate plagioclase structure : An explanation from interface theory. Physics and Chemistry of Minerals, 7, 64–70.

    Google Scholar 

  • Gay,P. (1956) The structures of the plagioclase feldspars. VI. Natural intermediate plagioclases. Mineralogical Magazin, 31, 21–40.

    Article  Google Scholar 

  • Gay,P. and Bown,M.G. (1956) The structures of the plagioclase feldspars. VII. The heat treatment of intermediate plagioclases. Mineralogist Magazin, 31, 306–313.

    Article  Google Scholar 

  • Grove,T.L. (1976) Exsolution in metamorphic bytownite. in Electron Microscopy in Mineralogy, edited by H.-R. Wenk. pp. 266–270. Berlin:Springer-Verlag.

    Google Scholar 

  • Grove,T.L. (1977a) A periodic antiphase structure model for the intermediate plagioclase (An33 to An75 ). American Mineralogist, 62, 932–941.

    Google Scholar 

  • Grove,T.L. (1977b) Structural characterization of labradoritebytownite plagioclase from volcanic, plutonic and metamorphic environments. Contributions to Mineralogy and Petrology, 64, 273–302.

    Article  Google Scholar 

  • Grove,T.L., Ferry,J.M. and Spear,F.S.(1983) Phase transitions and decomposition relations in calcic plagioclase. American Mineralogist, 68, 41–59.

    Google Scholar 

  • Hashimoto,H., Nissen,H.U., Ono,A., Kumao,A., Endoh,H. and Woensdregt,C.F.(1976) High-resolution electron microscopy of labradorite feldspar. Electron Microscopy in Mineralogy, edited by H.-R. Wenk. pp. 331–344. Berlin: SpringerVerlag.

    Google Scholar 

  • Hamilton, C.H. (1965) Significance tests on the crystallographic R factor. Acta Crystallographica, 18, 502–510.

    Article  Google Scholar 

  • Horst,W., Tagai,T., Korekawa,M. and Jagodzinski,H. (1981) Modulated structure of a plagioclase An52 : theory and structure determination. Zietschrift für Kristallographie, 157, 233–250.

    Google Scholar 

  • Jagodzinski,H. and Korekawa,M. (1976) Zur Kristall-structure und Fehlordnung der Plagioklase CaxNa1_x[Al1+xSi3_xO8]. Zeitschrift für Kristallographie, 143, 239–277.

    Google Scholar 

  • Jagodzinski,H. and Korekawa,M. (1978) Satellite reflctions of labradorite. Physics and Chemistry of Minerals, 3, 69–72.

    Google Scholar 

  • Kitamura,M. and Morimoto,N. (1975) The superstructure of intermediate plagioclase. Proceedings of the Japan Academy, 51, 419–424.

    Google Scholar 

  • Kitamura,M. and Morimoto,N. (1977) The study of the superstructure of the e-plagioclase : A modulated coherent structure of the eplagioclase. Physics and Chemistry of Minerals, 1, 199–212.

    Article  Google Scholar 

  • Kitamura,M. and Morimoto,N. (1979) Elasticity of the modulated structure of the e-plagioclase. Abstract of Annual Meeting of the crystallographic Society of Japan, 2B-5 (in Japanese).

    Google Scholar 

  • Korekawa,M. (1967) Theorie der Satellitenreflexe. Habilitationsschrift der Universität München.

    Google Scholar 

  • Korekawa,M. and Horst,W. (1974) Überstruktur des Labradorits Fortschritte der Mineralogie., 52, 2, 37–40.

    Google Scholar 

  • Korekawa,M. and Jagodzinski,H. (1967) Die Satellitenreflexe des Labradorits. Schweizerische Mineralogische und Petrographische Mitt., 47, 269–278.

    Google Scholar 

  • Kumao,A., Hashimoto,H., Nissen,H.-U. and Endoh,H. (1981) Ca and Na positions in labradorite feldspar as derived from highresolution electron microscopy and optical diffraction. Acta Crystallographica, A37, 229–238.

    Google Scholar 

  • MacKenzie,W.S. and Zussman,J. (ed.) (1974) The feldspars. Manchester University Press. Manchester.

    Google Scholar 

  • McConnell,J.D.C. (1974) Electron-optical study of the fine structure of a schiller labradorite. in The feldspars. Manchester University Press, Manchester, pp 478–490.

    Google Scholar 

  • McConnell,J.D.C. (1978) The intermediate plagioclase feldspars: an example of a structural resonance. Zeitschrift für Kristallographie, 147, 45–62.

    Article  Google Scholar 

  • McConell,J.D.C. and Fleet,S.G. (1963) — Direct elctron-optical resolution of anti-phase domains in a silicate. Nature, 199, 586.

    Google Scholar 

  • McLaren,A.C. (1974) Transmission electron microscopy of the feldspars. in The feldspars. Manchester University Press, Manchester, pp 378–423.

    Google Scholar 

  • Megaw,H.D. (1960a) Order and disorder. I. Theory of stacking faults and diffraction maxima. Proceedings of the Royal Society of London, 259A, 59–78.

    Google Scholar 

  • Megaw,H.D. (1960b) Order and disorder. II. Theory of diffraction effects in the intermediate plagioclase feldspars. Proceedings of the Royal Society of London, 259A, 159–183.

    Article  Google Scholar 

  • Megaw,H.D. (1960c) Order and disorder. III. The structure of the intermediate plagioclase feldspars. Proceedings of the Royal Society of London, 259A, 184–202.

    Google Scholar 

  • Morimoto,N., Nakajima,Y. and Kitamura,M. (1975a) Direct observation of the superstructure of labradorite by electron microscopy. Proceedings of the Japan Academy, 51, 725–728.

    Google Scholar 

  • Morimoto,N., Kitamura,M. and Nakajima,Y. (1975b) Antiphase relations in superstructures of the e-plagioclase. Proceedings of the Japan Academy, 51, 729–732.

    Google Scholar 

  • Nakajima,Y., Morimoto,N. and Kitamura,M. (1977) The superstructure of plagioclase feldspars. Electron microscopic study of anorthite and labradorite. Physics and Chemistry of Minerals, 1, 213–225.

    Google Scholar 

  • Overhauser,A.W. (1971) Observability of charge-density waves by neutron diffraction. Physical Review, B, 3, 3173–3182.

    Google Scholar 

  • Prewitt,C.T., Sueno,S. and Papike,J.J. (1976) The crystal structures of high albite and monalbite at high temperatures. American Mineralogist, 61, 1213–1225.

    Google Scholar 

  • Ribbe,P.H., Megaw,H.D., Taylor,W.H., Furguson, R.B. and Traill, R.J. (1969) The albite structures. Acta Crystallographica, B25, 1503–1518.

    Article  Google Scholar 

  • Ribbe, P.H. (ed.) (1975) Feldspar mineralogy. Short Course Notes 2, Mineralogical Society of America.

    Google Scholar 

  • Ribbe, P.H. (1983) Aluminum-silicon order in feldspars; Domain textures and diffraction patterns. in Feldspar mineralogy. 2nd edition, (P.H. Ribbe, ed.) Reviews in Mineralogy Vol. 2, Mineralogical Society of America. pp 21–55

    Google Scholar 

  • Ryzhova,T.V. (1964) Elastic properties of plagioclase. The Bulletin of the Academy of Sciences, USSR-Izv Geophysics Series, 7, 633–635.

    Google Scholar 

  • Smith,J.V. and Ribbe,P.H. (1969) Atomic movements in plagioclase feldspars: kinetic interpretation. Contributions to Mineralogy and Petrology, 21, 157–202.

    Article  Google Scholar 

  • Smith, J.V. (1974) Feldspar minerals, Vol. 1. Springer Verlag, New York.

    Book  Google Scholar 

  • Smyth,J.R. and Smith,J.V. (1969) Electrostatic energy for clustering in intermediate plagioclase feldspar. Mineralogical Magazin, 37, No. 286, 181–184.

    Google Scholar 

  • Toman,K. and Frueh,A.J. (1971) On the origin of plagioclase satellite reflections. Acta Crystallographica, B27, 2182–2186.

    Google Scholar 

  • Toman,K. and Frueh,A.J. (1972) Intensity averages of plagioclase satellites: Distribution in reciprocal space. Acta Crystallographica, B28, 1657–1662.

    Article  Google Scholar 

  • Toman,K. and Frueh,A.J. (1973a) The intensities and Fouriertransformation of difference reflections. Acta Crystallographica, A29, 121–127.

    Google Scholar 

  • Toman,K. and Frueh,A.J. (1973b) Patterson function of plagioclase satellite. Acta Crystallographica, A29, 127–133.

    Article  Google Scholar 

  • Toman,K. and Frueh,A.J. (1976a) Modulated structure of an intermediate plagioclase: I. Model and computation. Acta Crystallographica, B32, 521–525.

    Article  Google Scholar 

  • Toman,K. and Frueh,A.J. (1976b) Modulated structure of an intermediate plagioclase: II. Numerical results and discussion. Acta Crystallographica, B32, 526–538.

    Article  Google Scholar 

  • Wenk,H.-R. (ed.) (1976) Electron microscopy in Mineralogy. Berlin: Springer-Verlag.

    Google Scholar 

  • Willaime,C. and Brown,W.L. (1974) A coherent elastic model for the determination of the orientation of exsolution boundaries : Application to the feldspars. Acta Crystallographica, A30, 316-331.

    Google Scholar 

  • Wilson,A.J.C. (1949) X-ray optics. Methuen London.

    Google Scholar 

  • Winter,J.K., Ghose,S. and Okamura,F.P. (1977) A high-temperature study of the thermal expansion and the anisotropy of the sodium atoms in low albite. American Mineralogist, 62, 921–931.

    Google Scholar 

  • Wolff,P.M. de (1974) - The pseudo-symmetry of modulated crystal structures. Acta Crystallographica, A30, 777–785.

    Google Scholar 

  • Yamamoto,A., Nakazawa,H., Kitamura,M. and Morimoto,N. (1984) Modulated structure of an intermediate plagioclase feldspar, CaxNa1-xAl1+xSi3-xO8. (submitted to Acta Crystallographica).

    Google Scholar 

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Kitamura, M., Morimoto, N. (1984). The Modulated Structure of the Intermediate Plagioclases and Its Change with Composition. In: Brown, W.L. (eds) Feldspars and Feldspathoids. NATO ASI Series, vol 137. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6929-3_3

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  • DOI: https://doi.org/10.1007/978-94-015-6929-3_3

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