(4)C60 由12个五边形和20个六边形组成每个该原子以sp2 杂化轨道与相邻的三个碳原子相连,剩余的p轨道在 c60球壳的外围和内腔形成球面T键,从而具有芳香性 欧拉方程:面数(F)+顶点数(Ⅵ)=棱数(E)+2 a. structure:根据欧拉定理,通过12个五边形和数 个六边形的连接可以形成封闭的多面体结构 c0为第一个五边形间互不相邻的碳笼 不存在六边形的最小碳笼为C20
(4) C60 由12个五边形和20个六边形组成,每个该原子以sp2 杂化轨道与相邻的三个碳原子相连，剩余的p轨道在 C60球壳的外围和内腔形成球面π键,从而具有芳香性 欧拉方程：面数(F) + 顶点数(V) = 棱数(E) + 2 a. structure:根据欧拉定理，通过12个五边形和数 个六边形的连接可以形成封闭的多面体结构 C60为第一个五边形间互不相邻的碳笼 不存在六边形的最小碳笼为C20
32个面,60个顶点,90条棱 12个正五边形和20个正六边形 F+VEE+2
32个面，60个顶点，90条棱 12个正五边形和20个正六边形 F + V = E + 2
Fullerene Discoverers Win Chemistry Nobel The Nobel Prize in chemistry was awarded today to two Americans and one British researcher for their discovery of fullerenes, a new class of all-carbon molecules shaped like hollow balls The researchers, Richard E. Smalley and Robert F Curl Jr of Rice University in Houston, and Harold w. Kroto of the University of Sussex in Brighton, United Kingdom, made their discovery in 1985 in Smalley's lab at Rice while working together to study how carbon atoms cluster. The award is richly deserved, says Robert Haddon, a fullerene chemist at Lucent Technologies Bell Labs in Murray Hill, New Jersey. " It led to a totally new field of chemistry. Today, fullerenes--which are popularly known as buckyballs--are being investigated for everything from new superconductors and three-dimensional polymers, to catalysts and optical materials, although they have yet to spawn any commercial applications Before the group's discovery, crystalline carbon was thought to adopt only a handful of different molecular architectures, including those found in diamond and graphite. But the researchers discovered that sheets of carbon atoms arranged in a pattern of hexagons and pentagons can curl up and ultimately close to form hollow cages. And because the number of atoms in the cage can vary, an almost infinite number of fullerene shapes may exist
Fullerene Discoverers Win Chemistry Nobel The Nobel Prize in chemistry was awarded today to two Americans and one British researcher for their discovery of fullerenes, a new class of all-carbon molecules shaped like hollow balls. The researchers, Richard E. Smalley and Robert F. Curl Jr. of Rice University in Houston, and Harold W. Kroto of the University of Sussex in Brighton, United Kingdom, made their discovery in 1985 in Smalley's lab at Rice while working together to study how carbon atoms cluster. "The award is richly deserved," says Robert Haddon, a fullerene chemist at Lucent Technologies' Bell Labs in Murray Hill, New Jersey. "It led to a totally new field of chemistry." Today, fullerenes--which are popularly known as buckyballs--are being investigated for everything from new superconductors and three-dimensional polymers, to catalysts and optical materials, although they have yet to spawn any commercial applications. Before the group's discovery, crystalline carbon was thought to adopt only a handful of different molecular architectures, including those found in diamond and graphite. But the researchers discovered that sheets of carbon atoms arranged in a pattern of hexagons and pentagons can curl up and ultimately close to form hollow cages. And because the number of atoms in the cage can vary, an almost infinite number of fullerene shapes may exist
The platonic polydedra:f=2+evF分V;C分E;P分F Tetrahedron Cube Octahedron Dodecahedron Icosahedron .Triangles. The interior angle of an equilateral triangle is 60 degrees thus on a regular polyhedron, only 3, 4, or 5 triangles can meet a vertex. If there were more than 6 their angles would add up to at least 360 degrees which they cant. Consider the possibilities .3 triangles meet at each vertex. This gives rise to a Tetrahedron .4 triangles meet at each vertex. This gives rise to an Octahedron .5 triangles meet at each vertex. This gives rise to an Icosahedron .Squares. Since the interior angle of a square is 90 degrees, at most three squares can meet at a vertex. this is indeed possible and it gives rise to a hexahedron or cube Pentagons. As in the case of cubes, the only possibility is that three pentagons meet at a vertex. This gives rise to a Dodecahedron Hexagons or regular polygons with more than six sides cannot form the faces of a regular polyhedron since their interior angles are at least 120 degrees
Tetrahedron Cube Octahedron Dodecahedron Icosahedron •Triangles. The interior angle of an equilateral triangle is 60 degrees. Thus on a regular polyhedron, only 3, 4, or 5 triangles can meet a vertex. If there were more than 6 their angles would add up to at least 360 degrees which they can't. Consider the possibilities: •3 triangles meet at each vertex. This gives rise to a Tetrahedron. •4 triangles meet at each vertex. This gives rise to an Octahedron. •5 triangles meet at each vertex. This gives rise to an Icosahedron •Squares.Since the interior angle of a square is 90 degrees, at most three squares can meet at a vertex. This is indeed possible and it gives rise to a hexahedron or cube. •Pentagons.As in the case of cubes, the only possibility is that three pentagons meet at a vertex. This gives rise to a Dodecahedron. •Hexagons or regular polygons with more than six sides cannot form the faces of a regular polyhedron since their interior angles are at least 120 degrees. The Platonic Polydedra: f=2+e-v
b. properties:科学家认为c0将是21世纪的重要 材料 ()c60分子具有球形的芳香性,可以合成C0F2,作 为超级润滑剂 (i)cso笼内可以填入金属原子而形成超原子分子, 作为新型催化剂或催化剂载体,具有超导性 ic0体有金属光泽,其微晶体粉末呈黄色, 易溶于苯,其苯溶液呈紫红色。c60分子特别稳定,进 行化学反应时,c60始终是一个整体
b. properties: 科学家认为C60将是21世纪的重要 材料 (i) C60分子具有球形的芳香性,可以合成C60F2 ，作 为超级润滑剂 (ii) C60笼内可以填入金属原子而形成超原子分子, 作为新型催化剂或催化剂载体，具有超导性 (iii) C60晶体有金属光泽，其微晶体粉末呈黄色， 易溶于苯，其苯溶液呈紫红色。C60分子特别稳定，进 行化学反应时，C60始终是一个整体