Group Theory with Applications in Chemical PhysicsCambridge University Press, 2005. gada 20. okt. Group Theory is an indispensable mathematical tool in many branches of chemistry and physics. This book provides a self-contained and rigorous account on the fundamentals and applications of the subject to chemical physics, assuming no prior knowledge of group theory. The first half of the book focuses on elementary topics, such as molecular and crystal symmetry, whilst the latter half is more advanced in nature. Discussions on more complex material such as space groups, projective representations, magnetic crystals and spinor bases, often omitted from introductory texts, are expertly dealt with. With the inclusion of numerous exercises and worked examples, this book will appeal to advanced undergraduates and beginning graduate students studying physical sciences and is an ideal text for use on a two-semester course. |
Saturs
| 1 | |
| 26 | |
Matrix representatives | 36 |
17 | 43 |
Group representations | 90 |
Bases of representations | 96 |
Molecular orbitals | 106 |
Crystalfield theory | 131 |
Timereversal symmetry | 252 |
Magnetic point groups | 265 |
Physical properties of crystals | 282 |
Space groups | 307 |
Electronic energy states in crystals | 357 |
Vibration of atoms in crystals | 391 |
Appendices | 413 |
A2 Class algebra | 434 |
Double groups | 148 |
Molecular vibrations | 156 |
Transitions between electronic states | 171 |
Continuous groups | 182 |
Projective representations | 218 |
A3 Character tables for point groups | 447 |
A4 Correlation tables | 467 |
References | 476 |
Citi izdevumi - Skatīt visu
Group Theory with Applications in Chemical Physics Patrick W. M. Jacobs Ierobežota priekšskatīšana - 2005 |
Bieži izmantoti vārdi un frāzes
A₁ angle Answers to Exercises antisymmetric atoms axes axis B₁ binary Bravais lattice C₁ C₂ character system character table classes column commute components configuration space coset expansion crystal degeneracy determine diagonal Dirac characters direct product direct sum double group e₁ eigenfunctions eigenvalues eigenvectors electron Equation equivalent example factor Figure forms a basis g₁ group G improper rotations invariant subgroup inverse irreducible irreducible representations isomorphous Jones symbols linear combination matrix representation molecule multiplication table n₁ normal notation orbitals orthogonal orthogonal matrix P₁ permutation plane point group quaternion R₁ R₂ reciprocal lattice shows space group spin spinor representations subgroup of G symmetry operators T₁ T₂ tensor TR Bases transformation transitions translation unit cell unit vector unitary unitary matrix x y z zero
Populāri fragmenti
xiv. lappuse - AUB is the set of all the elements that belong to A or to B or to both A and B together.
416. lappuse - The trace of a square matrix A is the sum of the elements on the main diagonal and is denoted as Tr A.
xiv. lappuse - B) is the set containing all elements which belong to both A and B, the union of A and B (denoted by...
68. lappuse - You will recall that the trace of a matrix is the sum of its diagonal elements.
xv. lappuse - For example, [a] = 1 3 2 2 1 3 7 6 4 where a matrix of order 3x3 is shown. A diagonal matrix is a square matrix in which all the elements are zero except those on the principal diagonal.
3. lappuse - S are called generators of G, if every element of G can be expressed as a finite product of their powers. We also say that G is generated by 5.
414. lappuse - ... be written as the sum of two or more determinants of the same order.
171. lappuse - ... is proportional to the square of the modulus of the matrix element ,„ . (16a) where the components {gz}a,f are determined from (8) or (9).
Atsauces uz šo grāmatu
Quantum Chemistry of Solids: The LCAO First Principles Treatment of Crystals Robert A. Evarestov Ierobežota priekšskatīšana - 2007 |