The structural phase transition is one of the most fundamental problems
in solid state physics. Layered transition-metal dichalcogenides provide
us with a most exciting area for the study of structural phase
transitions that are associated with the charge density wave (CDW). A
large variety of structural phase transitions, such as commensurate and
incommensurate transitions, and the physical proper- ties related to the
formation of a CDW, have been an object of intense study made for many
years by methods employing modem microscopic techniques. Rather
recently, efforts have been devoted to the theoretical understanding of
these experimental results. Thus, McMillan, for example, has developed
an elegant phenomenological theory on the basis of the Landau free
energy expansion. An extension of McMillan's theory has provided a
successful understanding of the successive phase transitions observed in
the IT- and 2H-compounds. In addition, a microscopic theory of lattice
instability, lattice dynamics, and lattice distortion in the CDW state
of the transition-metal dichalcogenides has been developed based on
their electronic structures. As a result, the driving force of the CDW
formation in the IT- and 2H-compounds has become clear. Furthermore, the
effect of lattice fluctuations on the CDW transition and on the
anomalous behavior of various physical properties has been made clear
microscopically.