On the determination of linear thermal expansion coefficients of triclinic crystals using X-ray diffraction

European Journal of Mineralogy

Volumn 11, Issue 4, 1999, Pages 721-730

  Paufler, Peter ^a   Weber, Thomas ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Approximate functions; Differential approach; Lattice parameters; Principal axes; Tensor coefficients

Indexed keywords

CRYSTALS; EXPANSION; LATTICE CONSTANTS; TENSORS; X RAY DIFFRACTION;

APPROXIMATE FUNCTION; DIFFERENTIAL APPROACH; LINEAR THERMAL EXPANSION COEFFICIENTS; LINEAR THERMAL EXPANSIONS; PRINCIPAL AXES; TEMPERATURE DERIVATIVES; TENSOR COEFFICIENTS; THERMAL EXPANSION COEFFICIENTS;

THERMAL EXPANSION;

CRYSTAL STRUCTURE; THERMAL EXPANSION; X-RAY DIFFRACTION;

EID: 0032711089     PISSN: 09351221     EISSN: None     Source Type: Journal    
DOI: 10.1127/ejm/11/4/0721     Document Type: Article

References (32)

1. Abrahams, S., Bair, H.E., DiSalvo, F.J., Marsh, P. (1984): Magnetic and structural phase transition at 363.7 K in tetramethylammonium hexacyanotrimethylenecyclo propanide. Phys. Rev., B29, 1258-1262.
2. Beckenkamp, J. (1881): Ueber die Ausdehnung monosymmetrischer und asymmetrischer Krystalle durch die Wärme. Z. f. Kristallogr., 5, 436-466.
3. Boysen, H., Dorner, B., Frey, F., Grimm, H. (1980): Dynamic structure determination for two interacting modes at the M-point in α- and β-quartz by inelastic neutron scattering. J. Phys. C, 13, 6127-6146.
4. Czank, M. & Schulz, H. (1971): Thermal expansion of anorthite. Naturwiss., 58, 94.
5. 2 MPa) structures of the organic superconductor di (2,3,6,7-tetramethyl-1,4,5,8-tetraselena fulvalenium) hexafluoro phosphate, (TMTSF)2PF6. Acta Cryst., B42, 564-575.
6. Haussühl, S. (1983): Kristallphysik. Deutscher Verlag f. Grundstoffindustrie, Leipzig.
7. 7. Cryst. Res. Technol., 27, 267-272.
8. 4. Z. f. Kristallogr., 206, 255-265.
9. 3. Cryst. Res. Technol., 30, 535-540.
10. Henderson, C.M.B. (1979): An elevated temperature X-ray study of synthetic disordered Na-K alkali feldspars. Contrib. Mineral. Petrol., 70, 71-79.
11. Hochella Jr., M.F. & Brown, Jr., G.E. (1986): Structural mechanisms of anomalous thermal expansion of cordierite-beryl and other framework silicates. J. Am. Ceram. Soc., 69, 13-18.
12. Jessen, S.M. & Küppers, H. (1991): The precision of thermal-expansion tensors of triclinic and monoclinic crystals. J. Appl. Cryst., 24, 239-242.
13. Krishnan, R.S., Srinavasan, R., Devanarayanan, S. (1979): Thermal expansion of crystals. Pergamon Press, Oxford.
14. Liebisch, Th. (1891): Physikalische Krystallographie. Verl. von Veit & Co. Leipzig.
15. Lonappan, M.A. (1955): Thermal expansion of boric acid. Proc. Indian Acad. Sci., A42, 10-21.
16. Megaw, H.D. (1938): The thermal expansion of crystals in relation to their structure. Z. f. Kristallogr., 100, 58-76.
17. Neumann, C. (1861): Ueber die thermischen Axen der Krystalle des ein- und eingliedrigen Systems. (J.C. Poggendorff's) Ann. Phys. Chem., 114, 492-504.
18. Neumann, F.E. (1833): Die thermischen, optischen und krystallographischen Axen des Krystallsystems des Gypses. (J.C. Poggendorff's) Ann. Phys. Chem., 27, 240-274.
19. Ohashi, Y. & Finger, L.W. (1973): Lattice deformations in feldspars. Carnegie Inst. Washington Yearbook, 72, 569-573.
20. Openshaw, R.E., Henderson, C.M.B., Brown, W.L. (1979): A room-temperature phase transition in maximum microcline. Phys. Chem. Minerals, 5, 95-104.
21. 7. J. Phys.: Condens. Matter, 8, 10973-10982.
22. Saucier, H. & Saplevitch, A. (1962): La dilation thermique des feldspaths. Norsk Geol. Tidsskr., 42, 224-243.
23. Schlenker, J.L., Gibbs, G.V., Boisen, M.B. (1975): Thermal expansion coefficients for monoclinic crystals : A phenomenological approach. Am. Mineral., 60, 828-833.
24. _ (1978): Strain-tensor components expressed in terms of lattice parameters. Acta Cryst., A34, 52-54.
25. Sreedhar, A.K. (1953): Thermal expansion of copper sulphate. J. Indian Inst. Sci., 35, 17-24.
26. Stewart, D.B. & Limbach, D. (1967): Thermal expansion of low and high albite. Am. Mineral., 52, 389-413.
27. Tscherry, V., Schulz, H., Czank, M. (1972): Thermische Ausdehnung der Gitterkonstanten von β-Eukryptit-Einkristallen. Ber. Deutsch. Keram. Ges., 49, 153-154.
28. 4 below room temperature. Z. f. Kristallogr., 213, 210-216.
29. White, G.K. (1963): Thermal expansion at low temperatures. J. Austral. Inst. of Metals, 8, 134-139.
30. Willaime, C., Brown, W.L., Perucaud, M.C. (1974): On the orientation of the thermal and compositional strain ellipsoids in feldspars. Am. Mineral., 59, 457-464.
31. Winter, J.K., Ghose, S., Okamura, F.P. (1977): A high-temperature study of the thermal expansion and the anisotropy of the sodium atom in low albite. Am. Mineral., 62, 921-931.
32. Winter, J.K., Okamura, F.P., Ghose, S. (1979): A high-temperature structural study of high albite, monalbite, and the analbite → monalbite phase transition. Am. Mineral., 64, 409-442.