Isotropy subgroups of the 230 crystallographic space groups / Harold T. Stokes and Dorian M. Hatch.

Format:

Book

Author/Creator:

Stokes, Harold T., 1947-

Contributor:

Hatch, Dorian M.

Language:

English

Subjects (All):

Crystallography.

Isotropy subgroups.

Physical Description:

1 online resource (624 p.)

Other Title:

Isotropy subgroups of the two hundred thirty crystallographic space groups

Place of Publication:

Singapore ; New Jersey : World Scientific, 1988.

Language Note:

English

Summary:

This book gives a rather exhaustive list of isotropy subgroups of the 230 crystallographic space groups. The symmetry changes for the vast majority of observed phase transitions in crystalline solids can be found in the list. With each entry, information is given concerning both physical and abstract characteristics of the phase transitions.

Contents:

CONTENTS; Preface; 1. Introduction; 2. Classification of Phase Transitions; 3. Lalldau Tlleory; 4. Space-Group Settings and Irrep Labels; 5. Explanation of Table 1; 6. Examples Using Table 1; a. Basis Vectors; b. Atomic Positions; c. Mapping of Space-Group Elements; d. Domains; 7. Ferroic Transitions; 8. Continuous Transitions; 9. Images; a. Invariant Polynomials; b. Isotropy Subgroups of the Images; 10. Irrep Labels; a. Cracknell, Davies, Miller, and Love (CDML); b. Kovalev; c. Bradley and Cracknell (BC); REFERENCES; TABLE 1. ISOTROPY SUBGROUPS; TABLE 2. GENERATORS AND IRREPS

TABLE 3. MATRICES1 DIMENSIONAL; 2 DIMENSIONAL; 3 DIMENSIONAL; 4 DIMENSIONAL; 6 DIMENSIONAL; 8 DIMENSIONAL; 12 DIMENSIONAL; 16 DIMENSIONAL; 24 DIMENSIONAL; TABLE 4. BASIS FUNCTIONS; TABLE 5. POINT OPERATOR LABELS; TABLE 6. SPACE-GROUP SETTINGS; TABLE 7. IRREP LABELS; TABLE 8. IMAGES; TABLE 9. INVARIANT POLYNOMIALS; TABLE 10. POLYNOMIALS; TABLE 11. MOLIEN FUNCTIONS; TABLE 12. ISOTROPY SUBGROUPS OF IMAGES; TABLE 13. DIRECTIONS OF THE ORDER PARAMETER

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

981-4434-31-0