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Question

In graphite, each carbon atom is bonded to three other carbon atoms

This question was previously asked in
CDS I 2019 Elementary Mathematics Previous Year Paper (03-Feb-2019)
The correct answer is

in the same plane giving a hexagonal array

Understanding Carbon Bonding in Graphite

Graphite is one of the most well-known allotropes of carbon. Its unique physical properties, such as softness, electrical conductivity, and high melting point, stem directly from its atomic structure and the way carbon atoms bond together.

Atomic Structure and Bonding in Graphite

In graphite, each carbon atom is bonded to three other carbon atoms. This is a key feature that differentiates it from other carbon allotropes like diamond, where each carbon is bonded to four others.

  • Each carbon atom undergoes `sp^2` hybridisation.
  • The three `sp^2` hybrid orbitals lie in a single plane and are oriented at approximately 120° to each other.
  • These `sp^2` orbitals form strong covalent bonds (sigma bonds) with three neighboring carbon atoms.
  • The remaining unhybridised `p` orbital on each carbon atom is perpendicular to the plane of the `sp^2` orbitals.
  • These unhybridised `p` orbitals overlap laterally to form a delocalised system of pi electrons above and below the plane of carbon atoms. This delocalisation of electrons is responsible for graphite's electrical conductivity.

Formation of Layers

The `sp^2` hybridisation and the bond angles lead to the carbon atoms forming hexagonal rings. These hexagonal rings are joined together in a vast network, creating flat layers of carbon atoms.

  • The covalent bonds within these layers are very strong, similar in strength to the carbon-carbon bonds in diamond.
  • The layers themselves are stacked on top of each other.
  • The forces between these layers are weak Van der Waals forces. These weak forces allow the layers to slide easily over one another, which explains why graphite is soft and used as a lubricant.

Analysing the Options

Let's look at the given options in the context of graphite's structure:

Option Description Analysis
1 forming a three-dimensional structure This describes the structure of diamond, where each carbon is bonded to four others tetrahedrally, forming a rigid 3D network. Graphite has a layered structure, not a fully 3D network of strong covalent bonds.
2 in the same plane giving a hexagonal array Each carbon bonds to three others using `sp^2` hybridisation. This geometry results in trigonal planar bonding, leading to flat layers made of interconnected hexagonal rings. This forms a hexagonal lattice structure within each plane. This accurately describes the bonding and arrangement within a graphite layer.
3 in the same plane giving a square array A square array would imply bond angles of 90° and each atom bonded to four others in a square planar arrangement, which is not the case for carbon in graphite. The bond angles are approximately 120°.
4 in the same plane giving a pentagonal array A pentagonal array involves five-membered rings. While such structures exist in other carbon forms like fullerenes, the fundamental layers of graphite are composed of six-membered (hexagonal) rings.

Based on the structure of graphite, where carbon atoms form strong covalent bonds with three neighbours in a planar hexagonal arrangement to create layers, option 2 correctly describes the bonding and arrangement within each layer.

Revision Table: Key Structural Features of Graphite

Feature Description
Bonding within layers Each carbon bonded covalently to 3 others (sp² hybridisation)
Arrangement within layers Planar hexagonal array (hexagonal rings)
Forces between layers Weak Van der Waals forces
Overall structure Layered structure

Additional Information: Allotropes of Carbon

Carbon exists in several different forms in the same physical state. These forms are called allotropes. The different structures of allotropes lead to vastly different physical properties.

  • Diamond: Each carbon bonded to 4 others in a tetrahedral 3D network. Very hard, electrical insulator.
  • Graphite: Each carbon bonded to 3 others in planar hexagonal layers. Soft, electrical conductor.
  • Fullerenes (e.g., Buckminsterfullerene `C_{60}`): Spherical, elliptical, or tubular structures of carbon atoms arranged in pentagons and hexagons.
  • Carbon Nanotubes: Cylindrical molecules of carbon, typically arranged in a hexagonal lattice (like rolled-up graphite).
  • Graphene: A single layer of graphite. Extremely strong, lightweight, and an excellent conductor.

Understanding the bonding and structural differences between these allotropes helps explain their distinct properties and applications.

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