Total energy polarized

Using this model in analogy with previous studies we can calculate a magnetic moment (fi) of the system with fixed Stoner exchange parameter Id and occupation of the d states. The total energy could then be calculated as the balance between the kinetic energy and the spin-polarization energy ... 

In the nonrelativistic limit (at c = 10 °) the band contribution to the total energy does not depend on the SDW polarization. This is apparent from Table 2 in which the numerical values of Eb for a four-atom unit cell are listed. The table also gives the values of the Fermi energy Ep and the density of states at the Fermi level N Ef). 

And finally, we may mention that a statistical analysis of the sulfur d orbital problem has been carried out with dimethyl sulfoxide as a model compound36. The results provide a clear answer to the sulfur d orbital problem, since no simultaneous reproduction of experimental geometry and an adequate approximation to the variationally optimum total energy have been possible without including d polarization functions on sulfur . 

Tilt variations also do not affect the annual total of solar energy received by the whole Earth, but do change the annual total for polar regions (simultaneously for both hemispheres). Tilt also affects the seasonal insolation at high latitudes, with greater tilt leading to warmer summers and cooler winters in both hemispheres. 

The treatment of water-metal interactions deserves even more research. This is so because when a water molecule approaches a metal surface, two types of interactions can be envisaged. One of them is due to the polarization of the metal due to the partial charges that occur on the water molecule, and the other is due to overlap of the electronic clouds of the water molecules with the electronic cloud of the metal, called chemical interactions. For a water-Pt system, the latter predominate over the former, amounting to 90% of the total energy. 

H-bonding is an important, but not the sole, interatomic interaction. Thus, total energy is usually calculated as the sum of steric, electrostatic, H-bonding and other components of interatomic interactions. A similar situation holds with QSAR studies of any property (activity) where H-bond parameters are used in combination with other descriptors. For example, five molecular descriptors are applied in the solvation equation of Kamlet-Taft-Abraham excess of molecular refraction (Rj), which models dispersion force interactions arising from the polarizability of n- and n-electrons the solute polarity/polarizability (ir ) due to solute-solvent interactions between bond dipoles and induced dipoles overall or summation H-bond acidity (2a ) overall or summation H-bond basicity (2(3 ) and McGowan volume (VJ [53] ... 

The adequacy of the spin-averaged approach has been confirmed in self-consistent spin-density-functional calculations for H in Si by Van de Walle et al. (1989). The deviation from the spin-averaged results is expected to be largest for H at the tetrahedral interstitial (T) site, where the crystal charge density reaches its lowest value. For neutral H at the T site, it was found that inclusion of spin polarization lowered the total energy of the defect only by 0.1 eV. The defect level was split into a spin-up and a spin-down level, which were separated by 0.4 eV. These results are consistent with spin-polarized linearized-muffin-tin-orbital (LMTO) Green s-function calculations (Beeler, 1986). 

The conclusion is that the effects of spin polarization on the total energy are very small. Spin-polarized calculations are still useful and necessary, however, because they produce spin densities, which contain valuable information about the electronic structure of the impurity at different sites. They also allow the calculation of hyperfine parameters, which can be compared directly with experiment (see Section IV.2). 

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