Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-04T22:29:59.506Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of Al/Si disorder on the bulk moduli of plagioclase feldspars

Published online by Cambridge University Press:  05 July 2018

L. M. Sochalski-Kolbus ,
R. J. Angel  and
F. Nestola
L. M. Sochalski-Kolbus*
Affiliation:
Virginia Tech Crystallography Laboratory, Department of Geosciences, Virginia Tech, Blacksburg, VA 24060, USA
R. J. Angel
Affiliation:
Virginia Tech Crystallography Laboratory, Department of Geosciences, Virginia Tech, Blacksburg, VA 24060, USA
F. Nestola
Affiliation:
Dipartimento di Geoscienze, Universitá di Padova, Via Giotto 1, I-35137 Padova, Italy
*
E-mail: lsochals@vt.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The volumes of a disordered An20 (Qod = 0.15), a disordered An78 (Qod = 0.55) and an ordered An78 (Qod = 0.81) were determined up to 9.569(10) GPa, 8.693(5) GPa and 9.765(10) GPa, respectively, using single-crystal X-ray diffraction. The volume variations with pressure for these samples are described with 4th-order Birch Murnaghan equations of state with V0 = 669.88(7) Å3, K0 = 59.7(7) GPa. K′ = 5.7(5), K″ = −0.8(2) GPa−1 for disordered An20, V0 = 1340.48(10) Å3, K0 = 77.6(5) GPa, K0′ = 4.0(3), K″ = -0.59(9) GPa−1 for disordered An78 and V0 = 1339.62(6) A3, K0 = 77.4(6) GPa, K′ = 4.2(4), and K″ = −0.7(1) GPa−1 for ordered An78. Along with data from previous studies (An0 ordered, An0 disordered and An2o ordered), the volumes for the disordered samples were found to be up to ∼0.3% larger than the ordered samples of the same composition. The disordered samples are softer than the ordered samples of the same composition by 4(1)% for An0, 2.5(9)% for An20 and essentially zero for An78. The relationship between volume increase, density decrease, and decreasing bulk modulus with increasing disorder is in accordance with Birch's Law.

Keywords

Birch-Murnaghan equationAl/Si disorderplagioclase
Type
Research Article
Information
Mineralogical Magazine , Volume 74 , Issue 6 , December 2010 , pp. 943 - 950
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2010

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

Angel, R.J. (1992) Order-disorder and the high-pressure P1̄—I1̄ transition in anorthite. American Mineralogist, 77, 923–929.Google Scholar
Angel, R.J. (2000) Equations of state. Pp. 101-139 in: High-temperature and High-pressure Crystal Chemistry (R.M. Hazen and R.T. Downs, editors). Reviews in Mineralogy and Geochemistry, 41, The Mineralogical Society of America, Washington D.C. and the Geochemical Society, St. Louis, Missouri, USA.Google Scholar
Angel, R.J. (2004) Equations of state of plagioclase feldspars. Contributions to Mineralogy and Petrology, 146, 506–512.CrossRefGoogle Scholar
Angel, R.J. and Finger, L.W. (2011) Single: a program to control single-crystal diffractometers. Journal of Applied Crystallography, 44, DOI: 10.1107/S0021889810042305.CrossRefGoogle Scholar
Angel, R.J., Hazen, R.M., McCormick, T.C., Prewitt, C.T. and Smyth, J.R. (1988) Comparative compressibility of end-member feldspars. Physics and Chemistry of Minerals, 15, 313–318.CrossRefGoogle Scholar
Angel, R.J., Carpenter, M.A. and Finger, L.W. (1990) Structural variation associated with compositional variation and order-disorder behavior in anorthite-rich feldspars. American Mineralogist, 75, 150–162.Google Scholar
Angel, R.J., Allan, D.R., Miletich, R. and Finger, L.W. (1997) The use of quartz as an internal pressure standard in high-pressure crystallography. Journal of Applied Crystallography, 30, 461–466.CrossRefGoogle Scholar
Benusa, M., Angel, R.J. and Ross, N.L. (2005) Compression of albite, NaAlSi3O8. American Mineralogist, 90, 1115–1120.CrossRefGoogle Scholar
Birch, F. (1947) Finite elastic strain of cubic crystals. Physical Reviews, 71, 809–824.CrossRefGoogle Scholar
Birch, F. (1961) The velocity of compressional waves in rocks to 10 kilobars, Part 2. Journal of Geophysical Research, 66, 2199–2223.CrossRefGoogle Scholar
Carpenter, M.A., McConnell, J.D.C. and Navrotsky, A. (1985) Enthalpies of ordering in the plagioclase feldspars. Geochimica et Cosmochimica Ada, 49, 947–966.CrossRefGoogle Scholar
Carpenter, M.A., Angel, R.J. and Finger, L.W. (1990) Calibration of Al/Si order variations in anorthite. Contributions to Mineralogy and Petrology, 104, 471–480.CrossRefGoogle Scholar
Curetti, N., Sochalski-Kolbus, L., Angel, R.J., Benna, P., Nestola, F. and Bruno, E. (2010) High-pressure structural evolution and equation of state of analbite. American Mineralogist, in press.CrossRefGoogle Scholar
Downs, R.T., Hazen, R.M. and Finger L.W. (1994) The high-pressure crystal chemistry of low albite and the origin of the pressure dependency of Al-Si ordering. American Mineralogist, 79, 1042–1052.Google Scholar
Farrugia, L.J. (1999) WinGX suite for small-molecule single-crystal crystallography. Journal of Applied Crystallography, 32, 837–838.CrossRefGoogle Scholar
Ferguson, R.B., Traill, R.J. and Taylor, W.H. (1958) The crystal structures of low-temperature and high-temperature albites. Ada Crystallographica, 11, 331–348.CrossRefGoogle Scholar
Hackwell, T.P. and Angel, R.J. (1992) The comparative compressibility of reedmergnerite, danburite and their aluminum analogues. European Journal of Mineralogy, 4, 1221–1227.CrossRefGoogle Scholar
Johnson, E. (2007) The Elastic Behavior of Plagioclase Feldspar at High Pressure. MS Thesis, Virginia Polytechnic and State University, USA.Google Scholar
King, H.E. and Finger, L.W. (1979) Diffracted beam crystal centering and its application to high-pressure crystallography. Journal of Applied Crystallography, 12, 374–378.CrossRefGoogle Scholar
Kono, Y., Miyake, A., Ishikawa, M. and Arima, M. (2008) Temperature derivatives of elastic wave velocities in plagioclase (An51+/-1) above and below the order-disorder transition temperature. American Mineralogist, 93, 558–564.CrossRefGoogle Scholar
Kroll, H. (1978) Structures of heat-treated plagioclases An28, An52, An69 and estimation of Al,Si order from lattice-parameters. Physics and Chemistry of Minerals, 3, 76–77.Google Scholar
Kroll, H. (1983) Lattice parameters and determinative methods for plagioclase and ternary feldspars. Pp. 101-139 in: Feldspar Mineralogy 2nd edition ( P.H. Ribbe, editor). Reviews in Mineralogy 2, The Mineralogical Society of America, Washington D.C., USA.CrossRefGoogle Scholar
Kroll, H. and Ribbe, P.H. (1980) Determinative diagrams for Al,Si order in plagioclases. American Mineralogist, 65, 449–457.Google Scholar
Miletich, R., Allan, D.R., and Kuhs, W.F. (2000) High pressure single-crystal techniques. Pp. 445—519 in: High-temperature and High-pressure Crystal Chemistry (R.M. Hazen and R.T. Downs, editors). Reviews in Mineralogy and Geochemistry, 41, The Mineralogical Society of America, Washington D.C. and the Geochemical Society, St. Louis, Missouri, USA.CrossRefGoogle Scholar
Nemeth, P., Tribaudino, M., Bruno, E., and Buseck, P.R. (2007) TEM investigation of Ca-rich plagioclase: structural fluctuations related to the P1̄—I1̄ phase transition. American Mineralogist, 92, 1080–086.CrossRefGoogle 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
Salje, E.K.H. (1985) Thermodynamics of sodium feldspar I: order parameter treatment and strain induced coupling effects. Physics and Chemistry of Minerals, 12, 93–98.CrossRefGoogle Scholar
Sheldrick, G.M. (2007) A short history of SHELX. Ada Crystallographica, 64, 112–22.Google Scholar
Wainwright, J.E. and Starkey, J. (1971) A refinement of the structure of anorthite. Zeitschrift fur Kristallographie, 133, 75–84.CrossRefGoogle Scholar