Potential, super position

SUPER POSITION (Nerrest Principle of). The potential difference between junctions in similar pairs of solutions which have the same ratio of concentrations are the same even if the absolute concentrations are different, e.g., the same potential difference exists between normal solutions of HQ and KC1 as exists between tenth-normal solutions of HQ and KCL... 

Pig. 6.6 (Left) Bunch of branching paths given by the PSANB method (solid cnrves) and those of the semiclassical Ehrenfest dynamics (dotted curves) for initial momentums k = 16.06, 19.3, 22.5, 25.7, 28.9 and 32.1, starting from the initial position R = 2.0 on the ground state potential. (Right) The branching of the quantum wavepackets by the non-adiabatic transition with the initial central momentum of 1 = 32.1. A simple super position of xi (R, t) (denoted as Low) and x2 (R,t) (denoted as High) are drawn. (Reprinted with permission from T. Yonehara et al., J. Chem. Phys. 129, 134109 (2008)). 

The super-exchange electronic coupling term describes the coupling of the P Ba" state to the P and P Ha" states at the position of the intersection between the potential surfaces of the P and P Ha" states. When the P and P Ha" potential surfaces intersect at the minimum of the P potential surface (i.e. assuming that electron transfer from P to P Ha" is activationless), the super-exchange coupling (Vsuper) is given by ... 

The Furry bound state interaction picture of quantum electrodynamics76 relies on an expansion of the second-quantized electron field operator in terms of single-particle solutions of the Dirac equation for a static external field. This external field may be thought of as some mean atomic or molecular potential, whose single-particle spectrum can be divided into positive- and negative-energy branches. This can always be done for the usual elements of the Periodic Table, although problems arise for super-heavy atomic nuclei. 

For the case of EC and VC, experimental results have demonstrated VC reduction to occur at more positive potentials. Thus, the relative <1 predicted from the initial step were in accordance with experimental results. From the overall results the Fred fiend for cyclic carbonates was [Li(VC)J >[Li(EC)J >[Li(PC)J. The study on super-molecules containing linear carbonates was limited in scope to [Li(EC)(S)], where S=DMC, EMS, DEC, which aU showed similar E,. However, a straightforward comparison of the reduction energies of these complexes with the super-molecule data for cyclic carbonates was prevented by the use of different DFT functionals. The authors did make a comparison of the isolated solvents with EC, which predicted the linear carbonates to be more stable both in gas phase and using CPCM [39]. Thus, these results were in contrast with those of Endo et al. (Fig. 9.5) [14,15]. 

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