Titlebook: Second-Order Phase Transitions and the Irreducible Representation of Space Groups; H. F. Franzen Textbook 1982 Springer-Verlag Berlin Heid

Enthralling

Space Lattice Symmetry,omena (electrical, thermal conduction, matter diffusion), and the anisotropy of thermal expansion and interactions of crystals with optical radiation are directly related to the underlying three-dimensional periodicities that characterize many crystalline materials. It is therefore important to unde

endarterectomy

Space Group Symmetry,metry of crystalline solids does not end with the presentation of the 14 Bravais lattice types because the symmetry of a solid is the symmetry of its three-dimensionally periodic particle density, and there are more symmetries available to such periodic patterns than to the lattices which characteri

HERTZ

Reciprocal Space and Irreducible Representations of Space Groups,meaningful to seek irreducible representations (irr. reps) and basis functions for this pure translational subgroup, and these play an important role in the theory of crystalline solids. For the benefit of the reader unfamiliar with group theory, a set of basis functions for a representation is made

slipped-disk

Second-Order Phase Transitions,tence of two phases, i.e., without the nucleation and growth of a new phase. The transitions under consideration occur with a change of symmetry at a certain thermodynamic state during a continuous structure change through that state. Such structure changes may be of three types: order-disorder, dis

Legend

GREEN

companion

coddle

Reciprocal Space and Irreducible Representations of Space Groups,t of matrices which transform the functions under the symmetry operations (a representation) when the set cannot be reduced in the sense that a coordinate transformation results in splitting the basis functions into two or more sets of new functions each of which is a set of basis functions for a representation.

Introvert

Second-Order Phase Transitions,certain thermodynamic state during a continuous structure change through that state. Such structure changes may be of three types: order-disorder, displacive and a combination of order-disorder and displacive. In the latter case the ordering is incommensurate with the translational periodicity of the lattice, as will be shown in a later section.

拖债