# Group Theoretical Methods and Applications to Molecules and Crystals

@inproceedings{Kim1999GroupTM, title={Group Theoretical Methods and Applications to Molecules and Crystals}, author={S. K. Kim}, year={1999} }

Preface List of symbols 1. Linear transformations 2. Theory of matrix transformations 3. Elements of abstract group theory 4. Unitary and orthogonal groups 5. The point groups of finite order 6. Theory of group representations 7. Construction of symmetry adapted linear combinations based on the correspondence theorem 8. Subduced and induced representations 9. Elements of continuous groups 10. The representations of the rotation group 11. Single- and double-valued representations of point groups… CONTINUE READING

#### Figures and Tables from this paper.

#### Figures and Tables

figure 3.1 figure 3.2 figure 3.3 figure 4.1 figure 4.2 figure 5.1 figure 5.2 table 5.3 figure 5.3 table 5.4 figure 5.4 table 5.5 figure 5.5 figure 5.6 table 5.7 figure 5.7 table 5.8 figure 5.8 table 5.9 figure 5.9 table 6.1 figure 6.1 table 6.2 figure 6.2 table 6.3 figure 6.3 table 6.4 table 6.5 table 6.6 table 6.7 table 6.8 table 6.9 figure 7.1 figure 7.2 figure 7.3 figure 7.4 figure 7.5 figure 7.6 figure 7.7 figure 7.8 figure 8.1 table 8.1 figure 8.2 figure 9.1 figure 9.2 figure 9.3 figure 10.1 figure 10.2 table 11.1 table 11.3 table 11.4 table 11.5 table 12.1 table 12.2 table 12.3 table 12.5 table 12.6 figure 13.1 figure 13.10 figure 13.11 figure 13.2 table 13.2 figure 13.3 table 13.3 figure 13.4 figure 13.5 figure 13.6 figure 13.7 figure 13.8 figure 13.9 figure 14.1 figure 14.2 figure 14.3 figure 14.4 figure 14.5 figure 14.6 figure 14.7 figure 15.1 table 15.1 figure 15.2 figure 15.3 figure 16.1 table 16.1 figure 16.2 table 16.2 figure 17.1 table 17.2 table 17.4

48 Citations

Applications of Symmetry and Group Theory for the Investigation of Molecular Vibrations

- Mathematics
- 2012

4

Decomposition of Sohncke space groups into products of Bieberbach and symmorphic parts

- Chemistry
- 2015

2- PDF

Unfolding of electronic structure through induced representations of space groups: Application to Fe-based superconductors

- Physics
- 2014

34- PDF

Equivalent rotations associated with the permutation inversion group revisited: symmetry projection of the rovibrational functions of methane

- Physics
- 2011

22- PDF

Symmetries, Conserved Properties, Tensor Representations, and Irreducible Forms in Molecular Quantum Electrodynamics

- Computer Science, Mathematics
- Symmetry
- 2018

7- PDF

Quantum Numbers and the Eigenfunction Approach to Obtain Symmetry Adapted Functions for Discrete Symmetries

- Mathematics, Computer Science
- Symmetry
- 2012

10- PDF

#### References

SHOWING 1-10 OF 29 REFERENCES

A unified theory of the point groups. IV. The general corepresentations of the crystallographic and noncrystallographic Shubnikov point groups

- Mathematics
- 1983

6

THE THEORY OF SPINORS VIA INVOLUTIONS AND ITS APPLICATION TO THE REPRESENTATIONS OF THE LORENTZ GROUP

- Physics
- 1980

8

A new method of constructing the symmetry‐adapted linear combinations based on the correspondence theorem and induced representations

- Mathematics
- 1986

4