Effective pair potentials for liquid Na and liquid K

Ferrimagnetic Resonance Linewidth of Ti-Substituted Ca-V Garnet

“…However, the conclusion is firm that we can expect a substantially enhanced subsequent maximum. Such behaviour has been reported from time to time (Ascarelli 1966, Enderby and Howells 1972, Wagner 1977, Dahlborg et a1 1977 but confirmation of this effect probably awaits systematic investigation using the more sophisticated techniques now being developed (Mitra andGillan 1976, Ailawadi andNaghizadeh 1976).…”

“…In such work, it is assumed that v e f f ( r ) is independent of ionic density at least for a given temperature. The interpretation of tieff(r) in terms of a b initio theory has received much less attention though it has often been assumed (for example, by Harrison 1966, Howells and Enderby 1972, Ailawadi and Naghizadeh 1976) that close agreement is required with vps(p,r) the interatomic pair potential calculated by pseudopotential perturbation theory. The latter quantity occurs in the electron-mediated potential in which the ions move and which can be written in the adiabatic approximation as for any system with ionic number density p. In this expression, V, does not depend on the position of the ions, while the higher terms not explicitly shown correspond to many-ion forces.…”

Determination of effective pair interactions from the structure factor

“…In the last two decades numerous approaches have been formulated, most of them based on the prior knowledge of the microscopic structure in terms of the pair distribution function (PDF) g͑r͒ [1][2][3][4][5][6][7]. The most efficient procedures resort to some sort of simulation method [5][6][7] to obtain an effective pair potential compatible with the PDF used as input.…”

Calculation of Effective Pair Potentials for Simple Classical Liquids

“…Using experimental data on structure factor S(q), these approximate theories of liquids are inverted numerically to obtain information about the pair potentials [l]. The Born-Green equation is even more controversial in that the potentials obtained are not even unique ;when k-space inversion technique is used [3,41, the potential is highly temperature dependent in contrast with the almost temperature independent result 151 obtained in the r-space by iteration. The Born-Green equation is even more controversial in that the potentials obtained are not even unique ;when k-space inversion technique is used [3,41, the potential is highly temperature dependent in contrast with the almost temperature independent result 151 obtained in the r-space by iteration.…”