Skip to main content

Part of the book series: NATO ASI Series ((ASIC,volume 507))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. Sayre, D. (1952) The squaring method: a new method for phase determination, Acta Cryst. 5, 60–65.

    Article  Google Scholar 

  2. Cochran, W. (1952) A relation between the signs of structure factors, Acta Cryst. 5, 65–67.

    Article  Google Scholar 

  3. Zachariasen, W. H. (1952) A new analytical method for solving complex crystal structures, Acta Cryst. 5, 68–73.

    Article  Google Scholar 

  4. Woolfson, M. M. (1954) The statistical theory of sign relationships, Acta Cryst. 7, 61–64.

    Article  Google Scholar 

  5. Cochran, W. and Woolfson, M. M. (1955) The theory of sign relations between structure factors, Acta Cryst. 8, 1–12.

    Article  Google Scholar 

  6. Woolfson, M. M. (1957) An efficient process for solving crystal structures by sign relationships, Acta Cryst. 10, 116–120.

    Article  Google Scholar 

  7. Grant, D. F., Howells, R. G. and Rogers, D. (1957) A method for the systematic application of sign relations, Acta Cryst. 10, 489–497.

    Article  Google Scholar 

  8. Woolfson, M. M. and Fan, H. F. (1995) Physical and Non-physical Methods of Solving Crystal Structures, Cambridge University Press, Cambridge, pp. 208–233; 235–238.

    Chapter  Google Scholar 

  9. Cochran, W. (1955) Relations between the phase of structure factors, Acta Cryst. 8, 473–478.

    Article  Google Scholar 

  10. Kitaigorodskii, A I. (1957) Theory of structure analysis, Academic Press, USSR, Moscow, (in Russian)

    Google Scholar 

  11. Karle, J. and Hauptman, H. (1956) A theory of phase determination for the four types of non-centrosymmetric space groups 1P222,2P22, 3P12, 3P22, Acta Cryst. 9, 635–651.

    Article  MathSciNet  Google Scholar 

  12. Karle, I. L. and Karle, J. (1964) An application of the symbolic addition method to the structure of L-arginine dihydrate, Acta Cryst. 17, 835–841.

    Article  Google Scholar 

  13. Germain, G. and Woolfson, M. M. (1968) On the application of phase relationships to complex structures, Acta Cryst. B24, 91–96.

    Article  Google Scholar 

  14. Debaerdemaeker, T., Tate, C. and Woolfson, M. M. (1988) On the application of phase relationships to complex structures. XXVI. Developments of the Sayre-equation tangent formula, Acta Cryst. A44, 353–357.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media New York

About this chapter

Cite this chapter

Hai-Fu, F. (1998). Sayre Equation, Tangent Formula and SAYTAN. In: Fortier, S. (eds) Direct Methods for Solving Macromolecular Structures. NATO ASI Series, vol 507. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9093-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9093-8_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4994-0

  • Online ISBN: 978-94-015-9093-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics