The London, Edinburgh and Dublin philosophical magazine and journal of science . and in fig. 5 for curve 2 ; with ,/ = A. for Ass. <r = *G13A. for Ass. II. In each diagram the abscissa, x. Ildl. Mag. S. G. Vol. 4. Xo. 19. July 1902. L 146 Lord Kelvin on is distance between nearest atoms of the assemblage. Theheavy portions of the curves represent the values of w calcu-lated from (7). The light portions of the curves, and theircontinuations in heavy curves, represent 4<£(#) and 12(x)respectively in each diagram. The point where the lightcurve passes into the heavy curve in each case
The London, Edinburgh and Dublin philosophical magazine and journal of science . and in fig. 5 for curve 2 ; with ,/ = A. for Ass. <r = *G13A. for Ass. II. In each diagram the abscissa, x. Ildl. Mag. S. G. Vol. 4. Xo. 19. July 1902. L 146 Lord Kelvin on is distance between nearest atoms of the assemblage. Theheavy portions of the curves represent the values of w calcu-lated from (7). The light portions of the curves, and theircontinuations in heavy curves, represent 4<£(#) and 12(x)respectively in each diagram. The point where the lightcurve passes into the heavy curve in each case correspondsto the least distance between neighbours at which next-nearestsare beyond range of mutual force. All the diagrams herereproduced were drawn first on a large scale on squaredpaper for use in the calculations from (7); which includedaccurate determinations of the maximum and minimumvalues of w and the corresponding distances between nearestneighbours in each assemblage. The corresponding densities,given in the last column of the following table of results,. Law of Force according to Curve 2. are calculated by the formula \/2/X3 for assemblage I.,and 2 \/2/\3 for assemblage II.; density being in each casenumber of atoms per cube of the unit of abscissas of thediagram. This unit is (§ 14) equal to the diameter of theatom. For simplicity we assume the atom to be an infinitelyhard ball exerting (§ 13) on neighbouring atoms, not in contactwith it, repulsion at distance between centres less than f andattraction at any distance between £ and I. § 16. To interpret these results, suppose all the atoms ofthe assemblage to be subjected to guidance constraining them Molecular Dynamics of a Crystal. 147 either to the equilateral homogeneousness of assemblage I., orto the diatomic homogeneousness of assemblage II., witheach atom of one constituent assemblage at the centre of anequilateral quartet of the other constituent assemblage. It iseasy to construct ideally mechanism by
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Keywords: ., bookcentury1800, bookdecade1840, booksubjectscience, bookyear1840
