Abstract
As the second paper of the series, the first of which was published in 1997 (M. Tanemura, T. Matsumoto, Density of the p2gg-4c1 packing of ellipses (I). Z. Kristallogr.1997, 212, 637), the p2gg-4c1(b) packing of identical ellipses where four ellipses are included in the rectangular unit cell and where every ellipse has six contacting neighbors, is discussed. It is shown here that the p2gg-4c1(b) packing of ellipses does not exceed the maximum density
Acknowledgments
The authors thank to the referees for careful reading of our manuscript and for valuable comments. We also thank to Prof. Massimo Nespolo and Prof. Mois Aroyo for their editorial efforts.
References
[1] International Tables for Crystallography, (Ed. A. J. C. Wilson) The International Union of Crystallography, Vol. C, Kluwer Academic Publishers, Dortrecht, 1995.Search in Google Scholar
[2] W. Nowacki, Symmetrie und physikalisch-chemische Eigenschaften kristallisierter Verbindungen. V. Über Ellipsenpackungen in der Kristallebene. Schweiz. Mineralog. Petrog. Mitt., 1948, 28, 502.Search in Google Scholar
[3] B. Grünbaum, G. C. Shephard, Tilings and Patterns, Freeman, New York, p.700, 1987.Search in Google Scholar
[4] T. Matsumoto, W. Nowacki, On densest packing of ellipsoids. Z. Kristallogr.1966, 123, 401.Search in Google Scholar
[5] T. Matsumoto, Proof that the pgg packing of ellipses has never the maximum density. Z. Kristallogr.1968, 126, 170.Search in Google Scholar
[6] M. Tanemura, T. Matsumoto, On the density of p31m packing of ellipses. Z. Kristallogr.1992, 198, 89.Search in Google Scholar
[7] T. Matsumoto, M. Tanemura, Density of the p3 packing of ellipses. Z. Kristallogr.1995, 210, 585.Search in Google Scholar
[8] M. Tanemura, T. Matsumoto, Density of the p2gg-4c1 packing of ellipses (I). Z. Kristallogr.1997, 212, 637.Search in Google Scholar
[9] G. Delaney, D. Weaire, S. Hutzler, S. Murphy, Random packing of elliptical disks. Phil. Mag. Lett.2005, 85, 89.Search in Google Scholar
[10] A. Donev, F. H. Stillinger, P. M. Chaikin, S. Torquato, Unusually dense crystal packings of ellipsoids. Phys. Rev. Lett.2004, 95, 255506–1.Search in Google Scholar
©2015 by De Gruyter
