Degeneration region

The main scheme is shown in Fig. 17. The photogenerated electron hole pairs transfer to the soliton-antisoliton pairs in 10 13s. Two kinks appeared in the polymer structure, which separates the degenerated regions. Due to the degeneration, two charged solitons may move without energy dissipation in the electric field and cause the photoconductivity. The size of the soliton was defined as 15 monomer links with the mass equal to the mass of the free electron. In the scheme in Fig. 17, the localized electron levels in the forbidden gap correspond to the free ( + ) and twice occupied ( — ) solitons. The theory shows the suppression of the interband transitions in the presence of the soliton. For cis-(CH)n the degeneration is absent, the soliton cannot be formed and photoconductivity practically does not exist. 

The MC-QDPT(2) theory starts with fixed coeflicients for the model space functions, unlike in our SS-MRPT theories. It is also not fully extensive. We also present the second order SR-MBPT and the effective hamiltoni in based MR-MBPT results, since we want to investigate to what extent the SR-MBPT results behave poorly at the quasi-degenerate regions, and the MR-MBPT results sense the presence of intruders. Hq in both SR-MBPT and MR-MBPT is taken as in the standard EN partitioning, which is structurally closer to our choice for Hq the two SS-MRPT methods. 

As R oo, the CSF energies (i H are more diffieult to "intuit" beeause the a and a orbitals beeome degenerate (in the homonuelear ease) or nearly so. To pursue this point and arrive at an energy ordering for the CSFs that is appropriate to the R region, it is useful to express eaeh of the above CSFs in terms of the atomie orbitals Sx and Sy that eomprise a and a. To do so, the ECAO-MO expressions for a and a. ... 

In Figure 6.16, the region originally occupied by the gas cloud is shaded, and the position and shape of the shock wave and the contact surface at different times following the explosion are shown as solid and dashed curves. The shape of the shock wave is almost elliptical, with ellipticity decaying to sphericity as the shock gradually degenerates into an acoustic wave. 

Figures 8 and 9 shows a part of the bending region at low temperature containing the components of Vg (150-160 cm ) and Vs (190-200 cm ). The Vg vibration, IR active in the free molecule, has weak components in the Raman spectrum. According to theoretically calculated Raman intensities, which almost perfectly fit the experimental spectrum, the big component has a very low scattering cross-section [87] and is accidentally degenerate with the b2g component at ca. 188 cm. The IR active components of Vg cause strong absorptions in the IR spectrum even if the crystalline sample used for transmission studies is as thin as 400 pm [107, 109].

Since a real vector is a degenerate interval vector whose components are null width intervals, previous conventional pointwise solution formats can be considered a particular case of the suggested alternative and more general solution space, obtained when the minimum allowed region size is reduced to zero, thus converting hyperrectangles into single points. 

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