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12) which is a slight enhancement over the Casimir-Polder free-space result of Sec. 1 • Physisorbed Diatoms with Well-Defined Cores 27 - (23fzc /41Tr 7)0' 1(0)0'2(0). In practice, the separation distance at which retardation effects appear would far exceed the molecular bond length. 2. Perpendicular Configuration When the molecule is perpendicular to the surface, let the atoms be at ZI and Z2. 14) Here F~(zdzI2) is an enhancement factor, decreasing monotonically from 8/3 at (zl/zd = 0 to 1 at (ZI/ZI2) = x.
5) describes a virtual excitation from the ground state Ila) to the excited state 1/" a ") in which the electron on one of the ada toms is transferred to the conduction band above the Fermi level. The state II' a) is formed when another electron in the band below the Fermi level is then transferred to the adatom, creating an electron-hole pair. The situation is similar for the case Eo> E r. 6) I where m) is a localized wave function centered at m, mz is the component of m perpendicular to the surface and mz = 0 for surface sites, N is the number of lattice atoms, a is the lattice constant, and k = (p, kz).
In principle, 1 is the total Coulomb energy of the system. This can be obtained as the sum of two terms: the Coulomb energy of the atoms without the surface present, and the correction due to the image potential. For instance, there is the interaction between one atom and the image of the other; however, due to spherical symmetry this interaction is identically zero. While the conclusion therefore is that the Coulomb energy of the new system with the surface coincides with that of the free H2 molecule, a more interesting situation arises when one considers K.