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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 128a

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:
Diagram of a linear polyethylene structure showing carbon and hydroxyl groups.
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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Key Concepts

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

Hybridization

Hybridization is the concept of mixing atomic orbitals to form new hybrid orbitals that can accommodate the bonding requirements of atoms in a molecule. In the case of polyethylene, the carbon atoms undergo sp3 hybridization, where one s orbital and three p orbitals combine to form four equivalent sp3 hybrid orbitals, allowing for tetrahedral geometry around each carbon atom.
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Bond Angles

Bond angles are the angles formed between adjacent bonds in a molecule. For sp3 hybridized carbon atoms, the ideal bond angle is approximately 109.5 degrees, which arises from the tetrahedral arrangement of the hybrid orbitals. This angle minimizes electron pair repulsion, leading to a more stable molecular structure.
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Molecular Geometry

Molecular geometry refers to the three-dimensional arrangement of atoms within a molecule. In linear polyethylene, the carbon backbone is arranged in a straight chain, which influences the physical properties of the polymer. The presence of hydroxyl groups (–OH) also affects the geometry and interactions, contributing to the overall stability and characteristics of the polymer.
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