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- W2002728703 abstract "A new method, using a high-speed computer, is introduced for the evaluation of large numbers of spectral moments for crystals with short-range interactions. As an example, the first 34 even moments are obtained for the fcc lattice with nearest-neighbor central interactions. Accurate algebraic expressions for the thermodynamic properties have been obtained, at all temperatures, by the use of the Pad'e approximant on the high-temperature moment expansions, together with three terms in the low-temperature expansion. To estimate the order of magnitude of the errors to be expected, the method is applied to a linear chain and the results compared with the exact solution. The fractional error has a maximum of order 2ifmmodetimeselsetexttimesfi{}${10}^{ensuremath{-}4}$, and is less than 1ifmmodetimeselsetexttimesfi{}${10}^{ensuremath{-}5}$ for much of the range. An approximation to the spectrum of the fcc lattice is derived by an orthogonal polynomial expansion." @default.
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- W2002728703 date "1963-12-15" @default.
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- W2002728703 title "Moment Calculations in Lattice Dynamics. I. fcc Lattice with Nearest-Neighbor Interactions" @default.
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- W2002728703 doi "https://doi.org/10.1103/physrev.132.2427" @default.
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