The London, Edinburgh and Dublin philosophical magazine and journal of science . ane in circles of nearest, next-nearest,next-next-nearest, etc. Fig. 2 shows an equilateral triangleof three nearest neighbours, and concentric circles of neigh-bours in the same plane round it. The circles correspondingto i\ and rs of § 7 below, are not drawn in fig. 2. In allthat follows the side of each of the equilateral triangles isdenoted by X. § 6. Ail the neighbours in assemblage I. are found by aidof the diagrams as follows : — (a) The atoms of the net shown in fig. 1. The plane ofthis net we shall call o
The London, Edinburgh and Dublin philosophical magazine and journal of science . ane in circles of nearest, next-nearest,next-next-nearest, etc. Fig. 2 shows an equilateral triangleof three nearest neighbours, and concentric circles of neigh-bours in the same plane round it. The circles correspondingto i\ and rs of § 7 below, are not drawn in fig. 2. In allthat follows the side of each of the equilateral triangles isdenoted by X. § 6. Ail the neighbours in assemblage I. are found by aidof the diagrams as follows : — (a) The atoms of the net shown in fig. 1. The plane ofthis net we shall call our middle plane. Let lines be Molecular Dynamics of a Crystal. 1-41 drawn perpendicular to it through the atom A, and the pointsmarked b, c, to guide the placing of nets of atoms in parallelplanes on its two sides. (b) Two nets of atoms at equal distances \\/i on the twosides of the middle plane/ These nets are so placed thatan atom of one of them, say the near one as we look at thediagram, is in the guide line b ; and an atom of the far oneis in the guide line c. Fig. (c) Two parallel nets of atoms at equal distances, 2\ %/§,on the two sides of the middle plane, so placed that anatom of the near one is in the guide line c, and an atom ofthe far one is in the guide line b. (d) A third pair of parallel planes at equal distances,3Xi/§, from the middle plane, and each of them havingan atom in guide line A. (e) Successive triplets of parallel nets with their atomscyclically arranged Abe Abe . at greater and greaterdistances from A on the near side of the paper, and AcbAcb . at greater and greater distances on the far side. § 7. Let gly g2i q, ... be the radii of the circles shown infig. 1, and rl5 r2, rs . . be the radii of the circles shown in 142 Lord Kelvin on fig. 2 ; and for brevity denote X */§ by /e. The distancesfrom A of all the neighbours around it are :— In our middle plane : 6 each equal to ql : 6, q2; 6. q% ;^% 9+, 6, g5; In the two parallel nets at dista
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Keywords: ., bookcentury1800, bookdecade1840, booksubjectscience, bookyear1840
