The London, Edinburgh and Dublin philosophical magazine and journal of science . 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 bre
The London, Edinburgh and Dublin philosophical magazine and journal of science . 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 distances /e from middle : 6each equal io ^(j? + r?) ; 6, V(/e24-r,2); 12, i/(«2 + r,2) ;12, V(«2 + r42); b\ ,/(«24-r52);12, V(>2 + ?Y0; 6, V(«2 + ^:2). In the two parallel nets at distances 2k from middle : thesame as (B) altered by taking 2k everywhere in place of k. Fie-. In the two parallel nets at distances 3k from centre : thesame as (A) altered by taking -v/(9/c2 + gi2), s/(9/c2 + ^22), etc.,in place of q^ q2, etc. In nets at distances on each side greater than 3k : distancesof atoms from A, found as above, according to the cycle ofatomic configuration described in (e) of § 6. § 8. By geometry we find qi=\; q2= V3A = l-732\; q3=2\; q±= V7X=2«646X ; q5=3\:rx= V^X=-577X; r2=2 V|X = M54X; r3= ViX = r527X; r4=rg=4V§X=2308\; r6= VyX=2-517X; r7=5 VfX-=2-887X. WX = 2-082X: j-(4). J Molecular Dynamics of a Crystal. 143 § 9. Denoting now, for assemblage I., distances from atomA of its nearest neighbours, its next-nearests, its next-next-nearests, etc., by Dls D2, D3, etc., and their numbers byjujtojsy etc., we find by §§ 7, 8 for distances up to 2X, foruse in § 12 below, Di=X, D2=1414X, D3=1-732X, D4=&c,ii=12j t/2 = 6; is = 18; i4=6. § 10. Look back now to § 5, and proceed
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