An empirical Scherrer equation for weakly swelling mixed-layer minerals, especially illite-smectite

Clay Minerals

Volumn 34, Issue 4, 1999, Pages 601-617

  Jaboyedoff, M ^a,b   Kubler B ^b   Thelin Ph ^a  

^a BFSH2   (Switzerland)

^b UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ILLITE; MIXED LAYER; SMECTITE; SWELLING;

EID: 0342615034     PISSN: 00098558     EISSN: None     Source Type: Journal    
DOI: 10.1180/000985599546479     Document Type: Article

References (55)

1. Arkai P., Balogh K. & Frey M. (1997) The effects of tectonic strain on crystallinity, apparent mean crystallite size and lattice strain of phyllosilicates in low-temperature metamorphic rocks. A case study from the Glarus overthrust, Switzerland. Schweiz. Mineral. Petrogr. Mitt. 77, 27-40.
2. Arkai P., Merriman R.J., Roberts B., Peacor D.R. & Toth M. (1996) Crystallinity, crystallite size and lattice strain of illite-muscovite and chlorite: comparison of XRD and TEM data for diagenetic to epizonal pelites. Eur. J. Mineral. 8, 1119-1137.
3. 3 (wishker) composites. Powder Diffr. 6, 16-19.
4. Delhez R., de Keijser T.H. & Mittemeijer E.J. (1982) Determination of crystallite and lattice distortions through X-ray line profile analysis. Recipes, methods and comments. Fresenius Z. Anal. Chem. 312, 1-16.
5. Drits V.A. & Tchoubar C. (1990) X-ray Diffraction by Disordered Lamellar Structures. Springer Verlag, Berlin.
6. Drits V.A., Eberl D.D. & Środoń J. (1997) XRD measurement of mean crystallite thickness of illite and illite/smectite: reappraisal of the Kübler Index and the Scherrer Equation. Clays Clay Miner. 45, 461-475.
7. Drits V.A., Eberl D.D. & Środoń J. (1998) XRD measurement of mean thickcness, thickness distribution and strain for illite and illite-smectite crystallites by Bertaut-Warren-Averbach technique. Clays Clay Miner. 46, 38-50.
8. Eberl D.D., & Blum A. (1993) Illite crystallite thickness by X-ray diffraction. Pp. 124-153 in: Computer Applications to X-ray Powder Diffraction Analysis of Clay Minerals (R.C. Reynolds & J.R. Walker, editors). Clay Minerals Society, Special Publication 5, Bloomington, Indiana.
9. Eberl D.D. & Velde B. (1989) Beyond the Kübler index. Clay Miner. 24, 571-577.
10. Eberl D.D., Drits V.A. & Środoń J. (1997) Measurement of illite crystallite thickness by XRD method of Bertaut-Warren-Averbach. Pp. 27-28 in: Journée Scientifiques en l'honneur de V.A. Drits, Groupe Française Argiles. Paris.
11. Eberl D.D., Nuesch R., Šucha V. & Tsipurski S. (1998) Measurement of fundamental illite particle thicknesses by XRD using PVP-10 intercalation method of Bertaut-Warren-Averbach. Clays Clay Miner. 46, 89-97.
12. Ergun S. (1968) Direct method for unfolding convolution products - its application to X-ray scattering intensities. J. Appl. Cryst. 1, 19-23.
13. Frey M. (1987) Low Temperature Metamorphism. Chapman & Hall, London.
14. Frey M. (1988) Discontinuous inverse metamorphic zonation, Glarus Alps, Switzerland: evidence from illite "crystallinity" data. Schweitz. Mineral. Perogr. Mitt. 68, 171-183.
15. Goy-Eggenberger D. & Kübler B. (1990) Résultats préliminaires d'un essai de zonéographie métamorphique à travers les formations calcaires de la Nappe de Morcles. Schweiz. Mineral. Petrogr. Mitt. 70, 83-88.
16. Hendricks S.B. & Teller E. (1941) X-ray interference in partially ordered layer lattices. J. Phys. Chem. 10, 147-167.
17. Jaboyedoff M. (1999) Transformations des interstratifiés illite/smectite vers l'illite et la phengite: un exemple dans la série carbonatée du domaine Briançonnais des Alpes suisses romandes. PhD thesis, Univ. Lausanne, Switzerland.
18. Jaboyedoff M. & Thélin P. (1996) New data on low metamorphism in the Briançonnais domain of Prealps, Western Switzerland. Eur. J. Mineral. 8, 577-592.
19. Jaboyedoff M., Kübler B. & Thélin P. (in prep.) Illite crystallinity revisited. Clays Clay Miner.
20. Jagodzinski H. (1949) Eindimensionale Fehlordnung in Kristallen und ihr Einfluss auf Röntgeninterferenzen. I. Berechnung des Fehlordnungsgrades aus des Röntgenintensitäten. Acta Crystallogr. 2, 201-207.
21. Klug H.P. & Alexander L.E. (1974) X-ray Diffraction Procedures. J. Wiley & Sons, New York.
22. Kodama H., Gatineau L. & Méring J. (1971) An analysis of X-ray diffraction line profiles of microcrystalline muscovites. Clays Clay Miner. 19, 405-413.
23. Krumm S. (1992) Methodishe Untersuchungen, regionale Anwendungen und Vergleiche mit anderen Parametern. Erlanger geol. Abh. 120, 1-75.
24. Kübler B. (1964) Les argiles, indicateurs de métamorphisme. Rev. Inst. Franç. Pétrol. XIX, 1093-1112.
25. Kübler B. (1967) La cristallinité de l'illite et les zones tout à fait supérieures du métamorphisme. Pp. 105-121 in: Etages tectoniques, Colloque de Neuchâtel 1966. (de la Baconnière, editor). Neuchâtel, Switzerland.
26. Kübler B. (1968) Evaluation quantitative du metamorphisme par cristallinité de l'illite. Bull. Centre Rech. Pau SNPA 2, 385-397.
27. Kübler B. (1984) Les indicateurs des transformations physiques et chimiques dans la diagenèse, température et calorimétrie. Pp. 489-596 in: Thermométrie et barométric géologiques (M. Lagache, editor). Soc. Franç. Miner. Crist., Paris.
28. Kübler B. (1990) "Cristallinité" de l'illite et mixed-layer: brève révision. Schweiz. Mineral. Petrogr. Mitt. 70, 89-93.
29. Langford J.I. & Wilson J.C. (1978) Scherrer after sixty years: a survey and some new results in the determination of crystallite size. J. Appl. Cryst. 11, 102-113.
30. Lanson B. (1990) Mise en évidence des mécanismes de Transformation des interstratifiés illite/smectite au cours de la diagenèse. PhD thesis, Univ. Paris 6, France.
31. Lanson B. & Champion D. (1991) The I/S-to-illite reaction in the late stage diagenesis. Am. J. Sci. 291, 473-506.
32. Lanson B. & Velde B. (1992) Decomposition of X-ray diffraction patterns: a convenient way to describe complex I/S diagenetic evolution. Clays Clay Miner. 40, 629-643.
33. Méring J. (1949) L'interférence des rayons X dans les systèmes à interstratification désordonnée. Acta Cryst. 2, 371-377.
34. Merriman R.J., Roberts B. & Peacor D.R. (1990) A transmission electron microscope study of white mica crystallite size distribution in mudstone to slate transitional sequence, North Wales, UK. Contrib. Mineral. Petrol. 106, 27-40.
35. Moore D.M. & Reynolds R.C. (1997) X-ray Diffraction and the Identification and Analysis of Clay Minerals, 2nd edition. Oxford University Press, Oxford and New York.
36. Nieto F. & Sanchez-Navas A. (1994) A comparative XRD and TEM study of the physical meaning of the white mica "crystallinity" index. Eur. J. Mineral. 6, 611-621.
37. Pevear D.R. & Schuette S.F. (1993) Inverting the Newmod X-ray diffraction forward model for clay minerals using genetic algorithms. Pp. 123-153 in: Computer Application to X-ray Powder Diffraction Analysis of Clay Minerals (R.C. Reynolds & J.R. Walker, editors) Clay Minerals Society, Special Publication 5, Bloomington, Indiana.
38. Reynolds R.C. (1968).The effect of particle size on apparent lattice spacings. Acta Cryst. A24, 319-320.
39. Reynolds R.C. (1980) Interstratified clay minerals. Pp. 249-303 in: Crystal Structures of Clay Minerals and their X-ray Identification (G.W. Brindley & G. Brown, editors). Monograph No5. Mineralogical Society, London.
40. Reynolds R.C. (1985) NEWMOD a computer program for the calculation of one-dimensional diffraction patterns of mixed-layered clays. Published by the author, 8 Brook Dr., Hanover, New Hampshire, USA.
41. Reynolds R.C. (1989) Diffraction by small and disordered crystals. Pp. 145-182 in: Modern Powder Diffraction (D.L. Bisch & J.E. Post, editors). Reviews in Mineralogy 20. Mineralogical Society of America, Washington D.C.
42. Reynolds R.C. & Reynolds R.C. (1996) NEWMOD for Windows a computer program for the calculation of one-dimensional diffraction patterns of mixed-layered clays. Published by the author, 8 Brook Dr., Hanover, New Hampshire, USA.
43. Roberts B. & Merriman R.J. (1985) The distinction between Caledonian burial and regional metamorphism in metapelites from North Wales: an analysis of isocryst patterns. J. Geol. Soc. 142, 615-624.
44. Sassi R., Arkai P., Lantai C. & Venturini C. (1995) Location of boundary between the metamorphic Southalpine basement and the Paleozoic sequences of the Carnie Alps: illite "crystallinity" and vitrinite reflectance data. Schweiz. Mineral. Petrogr. Mitt. 75, 399-412.
45. Scherrer P. (1918) Bestimmung der grosse und inneren Struktur von Kolloidteilchen mittels Röntgenstrahlen. Nachr. Ges. Wiss. Göttingen, 26, 98-100.
46. Środoń J. & Eberl D.D. (1984) Illite. Pp. 495-544 in: Micas. (S.W. Bailey, editor) Reviews in Mineralogy, 13. Mineralogical Society of America, Washington D.C.
47. Stern W.B., Mullis J. & Frey M. (1991) Deconvolution of the first "illite" basal reflection. Schweiz. Mineral. Petrogr. Mitt. 71, 453-462.
48. Stokes A.R. (1948) A numerical Fourier-analysis method for correction of widths and shapes of lines on X-rays powder photographs. Proc. Phys. Soc. London, 61, 382-391.
49. Wang H., Stern W.B. & Frey M. (1995) Deconvolution of the X-ray "Illite" 10 Å complex: a case study of Helvetic sediments from eastern Switzerland. Schweiz. Mineral. Petrogr. Mitt. 75, 187-199.
50. Warr L.N. (1996) Standardized clay mineral crystallinity data from the very low-grade metamorphic facies rocks of southern New Zealand. Eur. J. Mineral. 8, 115-127.
51. Warr L.N., & Rice H.N. (1994) Interlaboratory standardization and calibration of clay mineral crystallinity and crystallite size data. J. metam. Geol., 12, 141-152.
52. Warren B.E. & Averbach B.L. (1950) The effect of cold work distortion on X-ray patterns. J. Appl. Phys. 21, 595-599.
53. Watanabe T. (1988) The structural model of illite/ smectite interstratified minerals and the diagram for its identification. Clay Sci. 7, 97-114.
54. Weaver C.E. (1960) Possible uses of clay minerals in the search for oil. Bull. Am. Assoc. Petrol. Geol. 44, 1505-1518.
55. Wilson A.J. (1962) On the variance as a measure of line broadening in diffractometry general theory and small particle size. Proc. Phys. Soc. London, 80, 286-294.