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By Harlow Shapley

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6. H. W. Floerke, and G. Miehe, Acta Crystallogr. A43:C156 (1987). 7. J. P. A. Vaughan, Z. Kristallogr. 112:409 (1959). 8. R. Peacor, Z. Kristallogr. 138:274 (1973). 9. H. E. Appleman, Acta Crystallogr. B34:391 (1978). 10. B. Marler, N. H. Eulert, H. Gies, and F. Liebau, J. Inclusion Phenom. 4:339 (1986). 11. H. Gies, Z. Kristallogr. 164:247 (1983). 12. H. Gies, Z. Kristallogr. 167:73 (1984). 13. H. Gies, J. Inclusion Phenom. 4:85 (1986). 14. B. McCusker, 14th Internat. 5-1 (1987). 15. M. P. Dale, Nature 317:157 (1985).

1. MFa. The true values for melanophlogite and the two dodecasils are considerably lower than the tabulated ones. which are falsified by high temperature factors ; d. numbers n i ~ 8 of (Si0 4 ) tetrahedra forming loops (rings) of the framework. 6 15 14 13 ? 153 146 148 4. 4. 5. 6. 6. 6. 6 6 7. 8 8 8 8 s C 1 a P t h o r a r s i o 1 s s Z i e o 1 s i s 1 s 9 7 6 2 o 11 6 5 3 2 1 1 163 169c) 174c) 171c) ? ? 151 156 ? 154 156 159 ? 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 5. 5. 5. 5. 5. 5. 5. 6 6 6 6 6 5.

Cooling the liquid a bit more, the polygons begin to cluster into doublets. 7. k is Boltzmann's constant. j factor Q = ~ (2-& . i The fixed points of the transformation Pi 1 ~ 1 Pk are then found as zeros of the functions Pi - Pi' which can be given the meaning of a first derivative dPi/dP s with respect to some variable s. which itself is a monotonous function of time. All the three variables, P s ' P6 and P 7 can be represented in an equilateral triangle displayed in fig. 1. P. 6 5~--------~------~37 ISO p rhomb Fig.

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