By Kikuo Cho, Atsuo Matsui
Court cases of 2000 foreign convention held in Osaka, Japan August 22-25, 2000. offers with themes at the excitonic approaches in bulk, quantum wells, quantum dots and different limited structures.
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65 kilocalories r mole in fair agreement with the value found in Eq. 4 Theoretical Modelfor Explainingthe Ferroelectric Effect in Barium Titanate - W. P. Mason, B. T. Matthias 129 1624 W . P . M A S O N A N D B . T. M A T T H I A S 7000 boo0 c 5000 t' z do00 U U 5 3000 c Y w 0 2000 1000 0 -1bO -120 -80 -40 0 40 TEYCCRlTURE IN DECREES C 80 120 FIL 4. Dielectric constants for the two crystallographic axes for multi-domain crystals of barium titanate. 70. 2 X loocycles. The relaxation of the dielectric constant a t these frequencies shows definitely that the high dielectric constant is due to a temperature movable dipole rather than a high dielectric constant of the type due to the near vanishing of the factor (1 - f l y ) in the dielectric equation r-1 -=- 4* N I / N 2=eBIkT (4) where y is the polarizability and fl the Lorentz fartor, since the polarizability y due to electrons, ions and atoms should not vary with frequency up to the infra-red frequencies.
Let us first consider the condition for spontaneous polarization and the ferroelectric effect. This can be obtained by setting E , equal to zero and determining the conditions for which the polarization P, is different from zero. Setting E , equal to zero and introducing the substitution A =C0N1~’/(1-0r)ll/kT. 6 ? 8. 9. Theoretical curve for ratio of spontaneous polarization P . to the total polarization Nu a s a function of the factor A . 8 W : P . , F s o n , “Electrostrictiveeffect in hariuni titanate ceramics, Phys.
66) can be written in the form field strength than this. For such a crystal a typical field strength polarization curve is as P. sinhC(AEz/BNd +(APz/Np)l -= * (68) shown by Fig. 13. When the voltage is in the direction of the spontaneous polarization, the N P 2 +cash C (AEIBNp) ( Ap1/Nrc)1 curve has a tail toward the right hand side that is Now, since AEz/BNp is going to be a very small considerably different from the rounded relation quantity for any field that can be applied, this on the left hand side.