Recommendations for Factor Group Analysis of Orthorhombic Crystals: Application to K 2 SO 4

Venkateswarlu P. and Broida H. P. , Proc. Indian Acad. Sci. A47, 230 (1971).

Montero S. Schmolz R. , and Haussuhl S. , J. Raman Spectrosc. 2, 101 (1974).

Debeau M. , Rev. Phys. Appl. 7, 49 (1972).

Khanna R. K. Lingscheid J. , and Decius J. C. , Spectrochim. Acta 20, 1109 (1964).

Karpov S. V. and Shultin A. A. , J. Phys. Chem. Solids 29, 475 (1968).

Brooker M. H. and Irish D. E. , Can. J. Chem. 48, 1183 (1969).

Couture L. , Ann. Phys. XII, 5 (1947).

A consequence of choice of axes, normally the B_1g notation, is chosen for the mode that is symmetric with respect to the principal axis. A similar ambiguity can occur for monoclinic crystals, but it is less common since the standard crystallographic setting has the z-axis unique.

International Tables for X-ray Crystallography (Kynoch Press, Birmingham, 1965), Vol. I, p. 544.

Wilson E. B. Decius J. C. , and Cross P. C. , Molecular Vibrations (McGraw-Hill, New York, 1955).

Originally developed by: Halford R. S. , J. Chem. Phys., 14, 8, (1946); Winston H. and Halford R. S. , ibid., 17, 607 (1949); Hornig D. F. , ibid., 16, 1063 (1948); and recently popularized, for instance see, Fateley W. G. McDevitt N. T. , and Bentley F. F. , Appl. Spectrosc. 25, 155 (1971); Adams D. M. and Newton D. C. , Tables for Factor Group and Point Group Analysis, Beckman-RIIC Lts. (1970).

Problems may arise from the careless use of Tables for Factor Group Analysis, see Couture L. , J. Chem. Phys. 15, 153 (1947); Irish D. E. and Brooker M. H. , Apply. Spectrosc. 27, 395 (1973); and Fateley W. , ibid., p. 395.

Damen T. C. Porto S. P. S. , and Tell B. , Phys. Rev. 142, 570 (1965).

Recently, a more general notation has been proposed, Swanson B. I. , Appl. Spectrosc. 27, 383 (1973).

Bhagavantam S. and Venkatarayudu T. , Proc. Indian Acad. Sci. 9A, 224 (1939); Bhagavantam S. , ibid., 13A, 543 (1941); Bhagavantum S. and Venkatarayudu T. , Theory of Groups and Applications to Physical Problems (Andhra University Press, Waltair, India, 1951); also see Turrell G. , Infrared and Raman Spectra of Crystals (Academic Press, New York, 1972), and Ref. 1. for a more complete analysis of the Cs₂SO⁴ crystal.

Wykoff R. W. G. , Crystal Structures (Wiley, New York, 1965), Vol. II, 2nd ed., p. 95.