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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 122c

(c) What atomic orbitals are involved in the stacking of graphite sheets with each other?
3D model of graphite structure showing atomic stacking and bonding interactions.

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1
Identify the structure of graphite, which consists of layers of carbon atoms arranged in a hexagonal lattice.
Understand that each carbon atom in graphite is sp2 hybridized, forming three sigma bonds with three neighboring carbon atoms in the same plane.
Recognize that the remaining p orbital on each carbon atom, which is perpendicular to the plane of the sigma bonds, overlaps with p orbitals on adjacent carbon atoms to form a pi bond network.
Note that the pi bonds create a delocalized electron cloud above and below the plane of the carbon atoms, contributing to the stability and electrical conductivity of graphite.
Conclude that the stacking of graphite sheets involves interactions between these delocalized pi electron clouds from adjacent layers.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Atomic Orbitals

Atomic orbitals are regions in an atom where there is a high probability of finding electrons. They are defined by quantum mechanics and include s, p, d, and f orbitals. In graphite, the relevant orbitals are primarily the sp² hybridized orbitals, which allow for the formation of sigma bonds between carbon atoms in the planar sheets.
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Atomic Orbitals Example

Graphite Structure

Graphite consists of layers of carbon atoms arranged in a hexagonal lattice. Each carbon atom is bonded to three others in the same plane, forming strong covalent bonds. The layers are held together by weaker van der Waals forces, allowing them to slide over each other, which is why graphite is slippery and used as a lubricant.
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Interlayer Interactions

The interactions between the layers of graphite are primarily due to van der Waals forces, which are weak compared to covalent bonds. These forces arise from temporary dipoles that occur when electron distributions around atoms fluctuate. Understanding these interactions is crucial for explaining the physical properties of graphite, such as its electrical conductivity and lubricating ability.
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The greatest ligand-orbital interactions result in the greatest increase in energy.
Related Practice
Textbook Question

Germanium has the same structure as silicon, but the unit cell size is different because Ge and Si atoms are not the same size. If you were to repeat the experiment described in Additional Exercise 12.117, but replace the Si crystal with a Ge crystal, would you expect the X rays to be diffracted at a larger or smaller angle 𝜃?

Textbook Question

(a) The density of diamond is 3.5 g>cm3, and that of graphite is 2.3 g>cm3. Based on the structure of buckminsterfullerene, what would you expect its density to be relative to these other forms of carbon?

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Textbook Question

(a) What are the C¬C¬C bond angles in diamond?

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Textbook Question

Employing the bond enthalpy values listed in Table 8.4, estimate the molar enthalpy change occurring upon (a) polymerization of ethylene. (b) formation of nylon 6,6. (c) formation of polyethylene terephthalate (PET).

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Textbook Question

Employing the bond enthalpy values listed in Table 8.3 estimate the molar enthalpy change occurring upon c. formation of polyethylene terephthalate (PET).

Textbook Question

Although polyethylene can twist and turn in random ways, the most stable form is a linear one with the carbon backbone oriented as shown in the following figure:

The solid wedges in the figure indicate bonds from carbon that come out of the plane of the page; the dashed wedges indicate bonds that lie behind the plane of the page. (a) What is the hybridization of orbitals at each carbon atom? What angles do you expect between the bonds?

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