مدارهای غیرمشخص گروه های فضایی ۲۰۱۵
The Non-characteristic Orbits of the Space Groups 2015

1 Preface

2. Introduction

2.1. Crystallographic orbits

2.2. Wyckoff position, Wyckoff set, and type of Wyckoff sets

2.3. Eigensymmetry of a crystallographic orbit; crystallographic orbit type

2.4. Vector lattices and point lattices

3. Main Table of non-characteristic crystallographic orbits

3.0. Short explanation of the Main Table

3.1. Triclinic system (yellow)

3.2. Monoclinic system (yellow)

3.3. Orthorhombic system (yellow)

3.4. Tetragonal system (blue)

3.5. Trigonal system (blue)

3.6. Hexagonal system (blue)

3.7. Cubic system (blue)

4. Comments to the Main Table

5. Determination of non-characteristic crystallographic orbits

5.1. The algebraic approach

5.2. The group theoretic approach

5.3. The calculation of non-characteristic crystallographic orbits

6. Applications of non-characteristic crystallographic orbits

6.1. Extinction rules

6.2. Determination of the true space group

6.3. Phase transitions

6.4. Generation of a crystallographic orbit

7. Historical remarks

27. Acknowledgements

28. References

29. Correction and notes (June 1984)