Group Theory in Crystal Physics
Group theory is used in crystal physics to obtain a classification of electronic states and of normal modes of lattice vibrations. In one important application it is used to determine all possible symmetries of the wave functions of a single electron in a given space-periodic field. Another application consists of the determination of the symmetries of the states of an impurity atom subject to a field imposed by the neighboring atoms of crystal. The same theory applies in a very similar form to the analogous situation of lattice vibrations, either in a perfect lattice or in a lattice containing impurity atoms.
KeywordsIrreducible Representation Brillouin Zone Point Group Reciprocal Lattice Diagonal Form
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