Question

What are the formula and structure of buckminsterfullerene?

Short answer

The formula of buckminsterfullerene is C60, and its structure is a truncated icosahedron composed of twenty hexagons and twelve pentagons with a carbon atom at the vertices of each polygon.

Step-by-step solution

Understanding Buckminsterfullerene

Buckminsterfullerene is a type of fullerene with the formula C60. It has a cage-like fused-ring structure that resembles a soccer ball, made of twenty hexagons and twelve pentagons, with a carbon atom at each vertex of each polygon and a bond along each polygon edge.

Defining the Formula

The chemical formula for buckminsterfullerene is C60. This means it is composed of 60 carbon atoms.

Describing the Structure

The structure of buckminsterfullerene is a truncated icosahedron, which is a convex polyhedron with 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices, and 90 edges.

Key concepts

Fullerene Chemistry

Fullerene chemistry is a fascinating area of organic chemistry that focuses on the study of fullerenes, which are molecules composed entirely of carbon, in the form of a hollow sphere, ellipsoid, or tube. Buckminsterfullerene, a spherical fullerene also known as C60, is a remarkable example of the innovative structures that carbon atoms can create.

Discovered in 1985 by scientists Richard Smalley, Harold Kroto, and Robert Curl, who later received the Nobel Prize for their work, fullerenes have astonishing properties that have implications in various fields such as nanotechnology, electronics, and medicine. With their unique ability to absorb free radicals, fullerenes are researched for their potential in delivering drugs within the body or even in cosmetics to protect the skin from damage.

Chemical Formula C60

The chemical formula of Buckminsterfullerene, C60, is distinctively simple yet represents a complex structure. It indicates that 60 carbon atoms are interconnected to form the molecule. Each carbon atom is bonded to three other carbon atoms, leading to a highly stable configuration known as a geodesic sphere.

This stability and symmetry involve a fascinating aspect of the chemistry of C60, as it showcases the concept of aromaticity found in benzene but scaled to a much larger structure. The double bonds between carbon atoms are delocalized over the surface of the molecule, giving it a unique set of electronic properties that are explored in materials science and electronics, such as in organic solar cells.

Truncated Icosahedron Structure

If you've ever seen a classic soccer ball, you can visualize the shape of Buckminsterfullerene. Its structure is a truncated icosahedron, which is an Archimedean solid formed by cutting off the corners of an icosahedron to leave 12 pentagons and 20 hexagons. Each carbon atom sits at a vertex, and these vertices are connected by single and double bonds that alternate across the structure.

Understanding the structure helps in grasping many of the properties of C60, like its high symmetry and resistance to high pressures, which make it alluring for materials science. In this structure, carbon atoms are equidistant from each other, a feature that minimizes strain and bestows Buckminsterfullerene with its exceptional chemical stability.

Molecular Geometry

Molecular geometry is a critical concept in understanding fullerenes and their properties. It refers to the three-dimensional arrangement of the atoms in a molecule. In C60, the spherical shape is not just a coincidence but the result of carbon atoms preferring to form bonds at an angle of about 120 degrees to one another — a characteristic of sp2 hybridization.

As this bond angle leads to a planar configuration, the formation of a sphere from flat polygons is a testament to the versatile nature of carbon atoms to achieve stability. This molecular geometry results in evenly distributed electrons across the structure and confers C60 with unique properties that have captured the interest of researchers in fields ranging from superconductivity to pharmacology.