Polarization and absorption lines in solids.

The polarization, complex dielectric constants, and hence the absorption coefficients are found for the following structures of dipoles: a long chain of dipoles, a two-dimensional lattice and a three-dimensional lattice, the dipoles being allowed small oscillations in a plane, and a three-dimensional simple cubic lattice, the dipoles being allowed small oscillations in any plane. The results are of the same general form as those given by H. Prohlich for the case of a single polar molecule. The results contain two terms, one depending on the dipole interaction forces, and a second which is present in Prohlich’s result depending on non-dipole forces. If the first term is absent the regular lattices of dipoles become effectively random distributions, and only the term corresponding to the Prohlich formula is present. If the second term is absent, it is shown that the polarization in a static field and the absorption maximum are independent of the electric moment of each dipole