Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A large set of computer models (more then 200 models) of hard sphere packings with packing fraction eta beten 0.52 - 0.72 is examined. Every packing consist of 10.000 identical spheres in the model box with periodic boundary conditions. Delaunay simplexes (quadruples of mutually closest spheres) with shape resembling to perfect tetrahedron or quartoctahedron are studied. Fraction of such simplexes is studied as a function of packing density. Structure changes at the transition from disordered to crystalline phase are discussed. A limited packing fraction of the non-crystalline packing is estimated as 0.6455plusmn0.0015. The ratio of tetrahedral to quartoctahedral simplexes (T/Q) in the packing at this density provided to be close to 2/3.  pay attention to one more critical interval of density at around eta=0.665 plusmn0.005. At this density the crystalline nuclei which re in the packing run into unified crystal and the ratio T/Q reaches a crystalline value 1/2.
['A. V. Anikeenko', 'N. N. Medvedev', 'A. Elsner', 'K. Lochmann', 'Dietrich Stoyan']
I am writing a research paper on a idea Critical densities in hard sphere packings. I am writing a research paper on a idea Delaunay simplex analysis.
[{"from": "human", "value": "I am writing a research paper on a idea Critical densities in hard sphere packings. I am writing a research paper on a idea Delaunay simplex analysis."}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A large set of computer models (more then 200 models) of hard sphere packings with packing fraction eta beten 0.52 - 0.72 is examined. Every packing consist of 10.000 identical spheres in the model box with periodic boundary conditions. Delaunay simplexes (quadruples of mutually closest spheres) with shape resembling to perfect tetrahedron or quartoctahedron are studied. Fraction of such simplexes is studied as a function of packing density. Structure changes at the transition from disordered to crystalline phase are discussed. A limited packing fraction of the non-crystalline packing is estimated as 0.6455plusmn0.0015. The ratio of tetrahedral to quartoctahedral simplexes (T/Q) in the packing at this density provided to be close to 2/3.  pay attention to one more critical interval of density at around eta=0.665 plusmn0.005. At this density the crystalline nuclei which re in the packing run into unified crystal and the ratio T/Q reaches a crystalline value 1/2."}]