Wood Science and Technology

, Volume 31, Issue 3, pp 143–152 | Cite as

Theory of X-ray measurement of microfibril angle in wood

Part 1. The condition for reflection X-ray diffraction by materials with fibre type symmetry
  • I. D. Cave


The property of fibre symmetry as exhibited by wood cellulose can be used to derive an explicit relationship between the orientation of a cellulose microfibril and the orientation of the X-ray beam diffracted by any of its crystallographic planes. The solution applies to a microfibril of any orientation and so is well suited to evaluating the microfibril angle distribution in wood containing cells of any cross-sectional shape. The (002) and (040) reflections of cellulose have complementary properties that could be exploited to enable current problems associated with the use of each individually for evaluating the mean microfibril angle of the S2 layer to be overcome. It is expected that it will be possible to measure the microfibril angle distribution throughout the whole cell wall and also measure the average cell cross-section of a wood sample, by analysing (002) and (040) diffraction profiles in conjunction with each other.


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  1. Cave, I. D. 1966:Theory of X-ray Measurement of Microfibril Angle in Wood. Forest Prod. J. 16; 37–42Google Scholar
  2. Cave, I. D.;Walker, J. C. F. 1994: Stiffness of wood in fast-grown softwoods: the influence of Microfibril angle. Forest Prod. J. 44; 43–48Google Scholar
  3. Cave, I. D. 1996: X-ray Measurement of Microfibril Angle. Part 2: The X-ray Diagram. Wood Sci. Technol. (in press)Google Scholar
  4. El-osta, M;Kellog, R. M.; Foschi, R. O.; Butters, R. G. 1973: A Direct X-Ray Technique for Measuring Microfibril Angle. Wood and Fiber. 5, 118–128Google Scholar
  5. Meyer, K. H.;Misch, H. 1937: Positions des atomes dans le nouveau modèle spatial de la cellulose. Helv. Chim. Acta. 20, 232Google Scholar
  6. Meylan, B. A. 1967: Measurement of Microfibril Angle by X-Ray Diffraction. Forest Prod. J. 17, 51–58Google Scholar
  7. Nye, J. F. 1985: Physical Properties of Crystals. Oxford. Oxford University PressGoogle Scholar
  8. Preston, R. D. 1974: The Physical Biology of Plant Cell Walls. London: Chapman and Hall LtdGoogle Scholar
  9. Prud'homme, R. E.;Noah, J.; 1975: Determination of Fibril Angle Distribution in Wood Fibers: A comparison between the X-ray diffraction and the polarized microscope methods. Wood and Fiber. 6, 282–289Google Scholar
  10. Radhakrishnan, T.;Patil, N. B. P.;Dweltz, N. E. 1969: Crystalline orientation in natural cellulose fibres. Textile Res. J. 39, 1003–1014Google Scholar
  11. Yamamoto, H.;Okuyama, T.;Yoshida, M. 1993: Method of Determining the Mean Microfibril Angle of Wood over a Wide Range by the Improved Cave's Method. Mokuzai Gakkaishi. 39, 375–381Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • I. D. Cave
    • 1
  1. 1.RD2, Upper Moutere NelsonNew Zealand

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