Skip to main content
Log in

Integrated intensity changes of X-ray diffraction lines for crystalline powders by grinding and compression. Relations between effective Debye parameter and lattice strain

  • Papers
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

The relations between the effective Debye parameter and lattice strain are investigated on some non-metallic crystalline powders, CoO, Co0.5 Mg0.5O, CoAl2O4, TiO2, CaF2, BaTiO3 and graphite. The effective Debye parameter B eff was determined from the integrated intensities of X-ray diffraction lines with different sin θ/λ-values and the lattice strain, ε, was determined from the half-widths of the diffraction lines. Both B eff and ε increased with increase in grinding time and pressure. B eff showed a relatively sharp increase, but tended to saturation. However, ε increased slowly even after prolonged grinding, and B eff increased with increase in ε. When ε>0.2×10−2, however, B eff tended to a limit. The limiting values of B eff were varied from sample to sample. An attempt was made to explain the changes of B eff and ε with grinding and compression to large shear by the introduction of various defects into the structure. B eff was found to give some information on the deformed structure of crystalline powders.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Inagaki, H. Furuhashi, T. Ozeki, H. Mugishima, and S. Naka, J. Mater. Sci. 6 (1971) 1520.

    Google Scholar 

  2. R. W. James, “The Crystalline State”, vol. II (G. Bell and Sons, London, 1965) p. 20.

    Google Scholar 

  3. “International Tables for X-ray Crystallography”, vol. III (The Kynoch Press, Edinburgh, 1962) p. 233 and 243.

  4. J. L. Hoard, R. E. Hughes, and D. E. Sands, J. Amer. Chem. Soc. 80 (1958) 4507.

    Google Scholar 

  5. W. H. Hall, Proc. Phys. Soc. (Lond.) 62A (1949) 741.

    Google Scholar 

  6. S. Naka, T. Hanawa, and T. Noda, Nippon Kagaku Kaishi (J. Chem. Soc. Japan) 1972 (1972) 722.

    Google Scholar 

  7. H. P. Klug and L. E. Alexander, “X-ray Diffraction Procedures” (John Wiley and Sons, New York, 1954) p. 491.

    Google Scholar 

  8. M. Inagaki, H. Mugishima, and K. Hosokawa, Tanso (Carbon) (to be published).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Inagaki, M., Furuhashi, H., Ozeki, T. et al. Integrated intensity changes of X-ray diffraction lines for crystalline powders by grinding and compression. Relations between effective Debye parameter and lattice strain. J Mater Sci 8, 312–316 (1973). https://doi.org/10.1007/BF00550149

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00550149

Keywords

Navigation