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Extra resources for Physico-Chemical Phenomena in Thin Films and at Solid Surfaces Thin Films and Nanostr
KOZHUSHNER ZD, ZA are the charges of the donor and acceptor ions, and e0 is the static dielectric permittivity of the medium where the tunneling electron transition occurs. Let us examine Green’s function for long-range potential V(r) in more details. In the general case, the different multipole potentials in addition to Coulomb’s potentials of the donor and the acceptor may be included in the Hamiltonian (2) to the deﬁnition of Green’s function. These multipole potentials are non-zero in the asymptotic region only, but in MREL they are a part of the short-range potentials U SD;A ð~ r Þ.
Miyazaki, Chem. Phys. Lett. 261 (1996) 463. M. A. Krivoglaz, J. Exp. Theor. Phys. 25 (1953) 191. K. Husimi, Proc. Phys. Math. Soc. Japan 22 (1940) 406. V. G. Levich, R. R. Dogonadze, Dokl. Phys. Chem. 124 (1959) 123; V. G. Levich, R. R. Dogonadze, Dokl. Phys. Chem. 133 (1960) 158. R. R. Dogonadze, Dokl. Phys. Chem. 133 (1960) 258. R. R. Dogonadze, Yu. A. Chizmadzhev, Dokl. Phys. Chem. 144 (1962) 1077. R. R. Dogonaze, A. M. Kuznetsov, Yu. A. Chizmadzhev, Russ. J. Phys. Chem. 38 (1964) 1195. R. R.
Note that the effective mass mÃe in atomic units derives from the relation between the genuine effective mass and the electron mass. The electron contribution in Green’s function (21), taking into account deﬁnitions (22) and (24), is equal to n pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ o ðmÃ Þ2 G e ð~ r;~ r 0 ; EÞ ¼ À e 0 uk0 ð~ r Þuk0 ð~ r 0 Þexp À 2mÃe dE ~ (25) r À~ r 0 . 2p ~ r À~ r The contribution of the hole band is described by the similar formula with the hole effective mass mÃh , and the energy difference in (25) is dE ¼ E À max where emax is the maximum energy of the highest valence band dE ooE w ; E w is its width of the valence band.
Physico-Chemical Phenomena in Thin Films and at Solid Surfaces Thin Films and Nanostr