1 0 0 0 OA 巨大フラーレンの構造の位相幾何学的考察
- 著者
- 中野 詔彦 長谷川 澄子
- 出版者
- 公益社団法人 日本材料学会
- 雑誌
- 材料 (ISSN:05145163)
- 巻号頁・発行日
- vol.42, no.480, pp.1032-1038, 1993-09-15 (Released:2009-06-03)
- 参考文献数
- 3
The structures of giant fullerenes have been considered from the topological view point. As the fullerenes are formed of the pentagonal rings and hexagonal rings, Euler's theorem in the topology shows that 12 pentagonal rings are neccessary though the number of hexagonal ones is arbitrary for the formation of the closed polyhedron. This restraint predicts that symmetric giant fullerenes have the following shapes: the icosahedral-shaped, the tetrahedral-shaped, the pentagonal prism-shaped and the hexagonal prism-shaped ones. We have classified the icosahedral-shaped and the tetrahedral-shaped ones into three systems, respectively, and the pentagonal prism-shaped and the hexagonal prism-shaped ones into two systems, respectively, thus totaling ten systems. We have formulated the equations for calculating the number of atoms n in the giant fullerenes Cn. The results indicate that the forming of the round-shaped giant fullerenes requires the sets of heptagonal and pentagonal rings while keeping (the number of pentagonal rings)-(the number of heptagonal rings)=12.
1 0 0 0 OA 超微粒子充てん高分子複合材料の弾性率補強効果
- 著者
- 中野 詔彦 長谷川 澄子 中尾 幸道
- 出版者
- 社団法人日本材料学会
- 雑誌
- 材料 (ISSN:05145163)
- 巻号頁・発行日
- vol.42, no.480, pp.1072-1076, 1993-09-15
- 被引用文献数
- 2
The effect of reinforcement of elastic modulus in polymer composite materials filled with ultramicroscopic particles has been investigated by taking an example of polymethyl methacrylate-palladium cluster composites.The singularity that makes the elastic modulus increase twice has been indicated by filling up the microscopic fine particles of 10〜20A in spite of a little volume which is 05%.This singularity is caused by the fact that the microscopic particles and the matrix,are perfectly unificated in the materials.The reinforcement of elastic modulus can be explained by the perfect parallel model in consideration of the interface restriction regions.It is clearly shown that such singularity is brought in only by the relative size effect of microscopic particles in such perfect composite materials.