Statistical geometry

• $\alpha$ shapes
• Delaunay simplexes
• Percolation analysis
• Scaled-particle theory
• Voronoi cells

References

1. J. D. Bernal "", Proceedings of the Royal Institution of Great Britain 37 pp. 355- (1959)
2. J. D. Bernal "A Geometrical Approach to the Structure Of Liquids", Nature 183 pp. 141-147 (1959)
3. J. D. Bernal "The Bakerian Lecture, 1962. The Structure of Liquids", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 280 pp. 299-322 (1964)
4. Robin J. Speedy "Accurate theory of the hard sphere fluid", Journal of the Chemical Society, Faraday Transactions 2 73 pp. 714-721 (1977)
5. Robin J. Speedy "Cavities and free volume in hard-disc and hard-sphere systems", Journal of the Chemical Society, Faraday Transactions 2 77 pp. 329 - 335 (1981)
6. G. Stell "Mayer-Montroll equations (and some variants) through history for fun and profit" in THE WONDERFUL WORLD OF STOCHASTICS A Tribute to Elliott W. Montroll Eds. M.F. Shlesinger G.H. Weiss Studies in Statistical Mechanics, 12 Elsevier (1985)
7. N. N. Medvedev and Yu. I. Naberukhin "Study of the structure of simple liquids and amorphous solids by statistical geometry methods", Journal of Structural Chemistry 28 pp. 433-446 (1987)
8. Howard Reiss "Statistical geometry in the study of fluids and porous media", Journal of Physical Chemistry 96 pp. 4736 - 4747 (1992)
9. J. R. Henderson "Geometric thermodynamic fields and the generalised ensemble in colloidal physics", Physical Review E 73 010402(R) (4 pages) (2006)
10. M. O'Keeffe and B. G. Hyde "Plane Nets in Crystal Chemistry", Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 295 pp. 553-618 (1980)