By P. W. Anderson
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Two forms of agreement can be claimed for our curve: (a) excellent agreement with the experimental variation with / , a factor which is unchanged by any method of correcting for experimental error; and (b) good agreement quantitatively with the corrected data. (18) within the experimental fluctuations. ; this would be the case if these effects were summarized by a dispersion form of curve, to be smeared with the true line breadth. 13 c m - 1 in half-width, a very reasonable value for experimental effects.
Phys. USSR 20, 137. (1950) " P . Weiss, Phys. Zeits. 9, 358 (1908). In commencing the theoretical part of this paper, one can remark that the main task of the theoretician has been to try to de-emphasize the close analogy of ferromagnetism and ferroelectricity, at least as far as the actual basic mechanism is concerned. The ideas involved in the present theoretical picture of the mechanism of ferroelectricity are not new and not complicated. We must go back to 1908, the year in which P. 6 In his proposal he cited the familiar formula with which the names of Lorentz, Lorenz, Clausius, Mosotti, Debye, and others have been connected in its various aspects: 4irP E -| (electric case) 3 F= (5) field due to all charges outside the sphere, then, is simply one of ordinary macroscopic electrostatics; it involves the fields of: (a) the surface charge on the sphere left by cutting it out; (b) the surface charges on the dielectric surfaces ( ( a ) and (b) involve P ) ; and (c) the charge on the condenser plates.
P(da in dr) = nvdadr. W) 1 1 . J (42) aa%= (PB)«2 (43) r X It is obvious that the shift in frequency and the linebreadth follow from the real and imaginary parts of the number a, precisely according to (28). Thus the problem of the line-shape is solved in principle. Before proceeding further with the evaluation of a, the "collision cross section for line-broadening," it is necessary to generalize formula (43) to a case which we shall frequently treat—that in which the interaction Hamiltonian Hi'(t) is a matrix involving the quantummechanical states of both the perturbing molecule and the radiating molecule.