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In the precise sense of the words, below the Curie point the strain is proportional to applied field in each single domain of a BaTi0 3 crystal, and thus we have to do with a pure piezoeffect; however, in two ways the phenomenon is related closely to electrostriction. First, the actual piezo-electric constant is readily derived from the electrostrictive equation (3) which we have already mentioned, as follows: 'Matthias, Phys. Rev. 76. 175, 430, 1886. (19491 Shirane et. , Phys. Rev. 80, 485. (1950) Smolenskii, J.

Let us now introduce a degenerate index m. Each state will be designated by a nondegenerate index (a, b, c, d- • •) and a degenerate index (m, m'• • •). Then, letting the "initial" state be designated b y i, the final by / , (14) and (15) are (21) p(diri,) — nvdldok, I = Hi,t I dr exp[i(wu-u)T'](i\ PB\i)

Two more lines of experimental work, not directly connected with the analogy the writer has been developing, should be mentioned. The first is the search for more ferroelectric materials. 5 Thus BaTiC>3 is not an isolated phenomenon as are Rochelle salt and KDP, the other two ferroelectric substances known; this, with its relatively simple structure, contributes to the interest in work on BaTi0 3 . Because of the practical importance of this subject, I should also say something about the piezoelectric effect in BaTiO;t.

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