Elasticity of magnesite and dolomite from a genetic algorithm for inverting Brillouin spectroscopy measurements

Physics of the Earth and Planetary Interiors

Volumn 155, Issue 1-2, 2006, Pages 73-86

  Chen, Po Fei ^a,c   Chiao, Ling Yun ^b   Huang, Pao Hsien ^a,b   Yang, Yi Jong ^a   Liu, Lin Gun ^a  

^a INSTITUTE OF EARTH SCIENCES   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Dolomite; Elasticity; Genetic algorithm; Magnesite

Indexed keywords

ELASTICITY; GENETIC ALGORITHMS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; SINGLE CRYSTALS; SPECTROSCOPY;

BRILLOUIN SPECTROSCOPY; DOLOMITE;

MAGNESITE;

DOLOMITE; ELASTICITY; GENETIC ALGORITHM; MAGNESITE;

EID: 33644915020     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2005.10.004     Document Type: Article

References (21)

1. D.L. Anderson Theory of the Earth 1989 Blackwell Scientific Publications Boston
2. B.A. Auld Acoustic Fields and Waves in Solids 1973 John Wiley and Sons New York, London, Sidney, Toronto
3. M.B. Boisen Jr. G.V. Gibbs Mathematical crystallography Rev. Miner. 15 1985 1-339
4. S.L. Bragg G.F. Claringbull W.H. Taylor Crystal Structures of Minerals 1965 Cornell University Press New York
5. C.C. Chen C.C. Lin L.G. Liu S.V. Sinogeikin J.D. Bass Elasticity of single-crystal calcite and rhodochrosite by Brillouin spectroscopy Am. Miner. 86 2001 1525-1529
6. D.P. Dandekar Variation in the elastic constants of calcite with temperature J. Appl. Phys. 39 1968 3694-3699
7. D.P. Dandekar Pressure dependence of the elastic constants of calcite Phys. Rev. 172 1968 873-877
8. T.S. Duffy C.S. Zha R.T. Downs H.K. Mao R.J. Hemley Elasticity of forsterite to 16 Gpa and the composition of the upper mantle Nature 378 1995 170-173
9. A.G. Every General closed-form expressions for acoustic waves in elastically anisotropic solids Phys. Rev. B 22 1980 1746-1760
10. A.G. Every W. Sachse Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements Phys. Rev. B 42 1990 8196-8205
11. R.F.S. Hearmon The elastic constants of crystals and other anisotropic materials K.H. Hellwege A.M. Hellwege Landolt-Bornstein Tables vol. III/ II 1979 Springer-Verlag Berlin
12. J. Holland Adaptation in Natural and Artificial Systems 1975 The University of Michigan Press Ann Arbor
13. Houck, C.R., Joines, J.A., Kay, M.G., 1995. Technical Report No. 95-09. Department of Industrial Engineering, North Carolina State University, Raleigh, NC, October 1995.
14. Humbert, P., Plique, F., 1972. Propriétés élastiques de carbonates rhombohédriques monocristallines: calcite, magnésite, dolomite. Comptes Rendus de l Academie des Sciences Paris, Series B, vol. 275. pp. 391-394.
15. Michalewicz, Z., 1996. Genetic algorithms + data structures = evolution programs. Springer-Verlag, Berlin.
16. J.F. Nye Physical Properties of Crystals 1957 Oxford University Press London
17. W.H. Press S.A. Teukolsky W.T. Vetterling B.P. Flannery Numerical Recipes in FORTRAN: The Art of Scientific Computing second ed. 1992 Cambridge University Press New York
18. R.J. Reeder Crystal chemistry of the rhombohedral carbonates Rev. Miner. 11 1983 1-47
19. S.V. Sinogeikin J.D. Bass Single-crystal elasticity of pyrope and MgO to 20 GPa by Brillouin scattering in the diamond cell Phys. Earth Planet. Int. 120 2000 43-62
20. D. Vo Thanh A. Lacam Experimental study of the elasticity of single crystalline calcite under high pressure (the calcite I-calcite II transition at 14.6 kbar) Phys. Earth Planet. Int. 34 1984 195-203
21. C.S. Zha T.S. Duffy R.T. Downs H.-K. Mao R.J. Hemley Brillouin scattering and X-ray diffraction of San Carlos olivine: Direct pressure determination to 32 GPa Earth Planet. Sci. Lett. 159 1998 25-33