Skip to main content
SpringerLink
Log in

Precise lattice constants determination of cubic crystals from x-ray powder diffractometric measurements

  • Contributed Papers
  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

An analytical method for precise determination of lattice constants of cubic crystals, from x-ray diffractometric measurements, was formulated. The method minimizes both systematic and random errors and enables the estimation of the uncertainties in the constants. For higher precision, a weighting factor may also be used.

The method was applied to diffractometric data from a Si powder standard reference material and was considered to be highly reliable for precise measurements.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A.J. Bradley, A.H. Jay: Proc. Phys. Soc. (London)44, 563 (1932)

    Google Scholar 

  2. J.B. Nelson, D.P. Riley: Proc. Phys. Soc. (London)57, 160 (1945)

    Google Scholar 

  3. A. Taylor, H. Sinclair: Proc. Phys. Soc. (London)57, 126 (1945)

    Google Scholar 

  4. M.U. Cohen: Rev. Sci. Instrum.6, 68 (1935)

    Google Scholar 

  5. M.U. Cohen: Rev. Sci. Instrum.7, 155 (1936)

    Google Scholar 

  6. J.B. Hess: Acta Cryst.4, 209 (1951)

    Google Scholar 

  7. W.D. Hoff, R.P. Stratton, W.J. Kitchingman: J. Sci. Instrum.41, 695 (1964)

    Google Scholar 

  8. R.E. Vogel, C.P. Kempter: Acta Cryst.14, 1130 (1961)

    Google Scholar 

  9. M.H. Mueller, L. Heaton, K.T. Miller: Acta Cryst.13, 828 (1960)

    Google Scholar 

  10. A.J.C. Wilson:Accuracy in Powder Diffraction, ed. by S. Block and C. R. Hubbard (U.S. Natl. Bur. Stand. Spec. Publ.567 (1980) p. 336

  11. H.P. Klug, L.E. Alexander:X-Ray Diffraction Procedures (Wiley, New York 1974) p. 306

    Google Scholar 

  12. B.D. Cullity:Elements of X-Ray Diffraction (Addison-Wesley, London 1978) p. 359

    Google Scholar 

  13. H.D. Young:Statistical Treatment of Experimental Data (McGraw-Hill, New York 1962) p. 115

    Google Scholar 

  14. P.R. Bevington:Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, New York 1969) p. 92

    Google Scholar 

  15. J.R. Taylor:An Introduction to Error Analysis (Univ. Science Books, Mill Valley 1980) p. 200

    Google Scholar 

  16. C.R. Hubbard: Adv. X-Ray Anal.26, 45 (1983)

    Google Scholar 

  17. C.R. Hubbard: J. Appl. Cryst.16, 285 (1983)

    Google Scholar 

  18. E.W. Nuffield:X-Ray Diffraction Methods (Wiley, New York 1966) p. 160

    Google Scholar 

  19. H.T. Evans, D.E. Appleman, D.S. Handwerker: Report PB 16188, U.S. Department of Commerce, National Technical Information Center (1963)

Download references

Author information

Authors and Affiliations

  1. Physics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    N. A. Razik

Authors
  1. N. A. Razik
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Razik, N.A. Precise lattice constants determination of cubic crystals from x-ray powder diffractometric measurements. Appl. Phys. A 37, 187–189 (1985). https://doi.org/10.1007/BF00617505

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00617505

PACS

Search

Navigation