ION-ION OSCILLATORY POTENTIALS IN LIQUID METALS

作者:

DOI: 10.1098/RSPA.1964.0233

关键词: Mean free pathFermi surfaceMany-body problemAtomic physicsHartreeIonRadial distribution functionFermi levelFermi–Dirac statisticsChemistry

摘要: Radial distribution functions obtained by X-ray and neutron measurements have been analyzed for eight liquid metals, Li, Na, K, Rb, Cs, Hg, Al Pb, the insulator Ar. It is shown that pair potentials between ions in metals can be from data, general features of these curves are similar on basis various approximate theories liquids. In particular, Born-Green theory method Percus & Yevick used all cases. For two different temperatures each case, long-range oscillatory interactions always found ion-ion potentials. While same Percus-Yevick theories, important region round first minimum following maximum results quantitatively different. The potentials, however, only weakly temperature-dependent approach, validity this appears to receive further confirmation calculations viscosity surface tension, which quite surprisingly good agreement with experiment. approach seems distinctly less but may perhaps more appropriate deal insulators. However, many body forces also argon. oscillations interpreted as conduction electron screening ions, though amplitude substantially greater than a Hartree point-ion model predicts. pointed out core sizes and/or will incorporated carefully into order understand present findings fully quantitative way. afford striking evidence Fermi sharp even metal like mercury, where mean free path short. Some damping found, rough values thereby blurring distribution. Sodium remains somewhat puzzling appear fall off rather slowly would predict. By means Ornstein-Zernike direct correlation function f, it that, solely radial data at sight insulating conducting liquids, types distinguished. insulators, f has no nodes, whereas marked oscillations. This suggests closely connected interaction $\phi$(r), analysis equations Born-Green, hyperchain methods, they yield f(r) = -$\phi$(r)/kT sufficiently large r. inferred therefore result, does not depend use theories.

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