Abstract
The sign correlation procedure, one of the oldest computer-oriented applications of the Σ2 relationship, was developed in the early sixties (Beurskens, 1964). At that time, the procedure was applicable only to centrosymmetric structures. The name “sign correlation procedure” will be used now only when referring explicitly to centrosymmetric structures; otherwise, the more general term “phase correlation procedure” will be used. The sign correlation procedure was programmed for the IBM 1620 computer (Beurskens, 1963) and applied successfully to several centrosymmetric structures (Sax et al., 1965). Thereafter, an automatic program was written in ALGOL-60 (Beurskens, 1965).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beurskens, P. T. (1963). “Technical Report on Sign Correlation by the Sayre Equation,” Crystallography Laboratory, University of Pittsburgh, Pittsburgh, Pennsylvania.
Beurskens, P. T. (1964). Acta Crystallogr. 17, 462.
Beurskens, P. T. (1965). Thesis, University of Utrecht, Utrecht, The Netherlands.
Beurskens, P. T., Beurskens, G., and van den Hark, Th. E. M. (1976). Cryst. Struct. Commun., 241.
Germain, G., Main, P., and Woolfson, M. M. (1971). Acta Crystallogr. Sect. A 27, 368.
van den Hark, Th. E. M. (1976). Thesis, University of Nijmegen, Nijmegen, The Netherlands.
van den Hark, Th. E. M., Beurskens, P. T., and Laarhoven, W. H. (1974a). J. Cryst. Mol. Struct. 4, 227.
van den Hark, Th. E. M., Hendriks, H. M., and Beurskens, P. T. (1974b). Cryst. Struct. Commun., 703.
Hauptman, H. (1972). Crystal Structure Determination: The Role of the Cosine Seminvariants, Plenum Press, New York.
Hauptman, H . (1974a). Acta Crystallogr. Sect. A 30, 472.
Hauptman, H . (1974b). Acta Crystallogr. Sect. A 30, 822.
Hauptman, H . (1975). Acta Crystallogr. Sect. A 31, 680
Hauptman, H., and Karle, J. (1953). Solution of the Phase Problem. I. The Centrosymmetric Crystal, American Crystallographic Association Monograph No. 3, Polycrystal Book Service, Pittsburgh, Pennsylvania.
Hummelink-Peters, B. G. M. C., van den Hark, Th. E. M., Noordik, J. H., and Beurskens, P. T. (1975). Cryst. Struct. Commun., 281.
Kanters, J. A., Kroon, J., Beurskens, P. T., and Vliegenthart, J. A. (1966). Acta Crystallogr. 21, 990.
Karle, J., and Hauptman, H. (1958). Acta Crystallogr. 11, 264.
Karle, J., and Hauptman, H. (1959). Acta Crystallogr. 12, 404.
Sax, M., Beurskens, P. T., and Chu, S. (1965). Acta Crystallogr. 18, 252.
Schenk, H . (1973). Acta Crystallogr. Sect. A 29, 77.
Schenk, H . (1974). Acta Crystallogr. Sect. A 30, 477.
Viterbo, D., and Woolfson, M. M. (1973). Acta Crystallogr. Sect. A 29, 205
de Vries, A . (1963). Thesis, University of Utrecht, Utrecht, The Netherlands.
de Vries, A. (1965). Acta Crystallogr. 18, 473.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Plenum Press, New York
About this chapter
Cite this chapter
Beurskens, P.T., van den Hark, T.E.M. (1980). Phase Correlation with Calculated Cosine Invariants for Routine Structure Analysis. In: Ladd, M.F.C., Palmer, R.A. (eds) Theory and Practice of Direct Methods in Crystallography. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2979-4_6
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2979-4_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-2981-7
Online ISBN: 978-1-4613-2979-4
eBook Packages: Springer Book Archive