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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 110e

What type of lattice—primitive cubic, body-centered cubic, or face-centered cubic—does each of the following structure types possess: (e) ZnS?

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Key Concepts

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

Crystal Lattice Structures

Crystal lattice structures describe the ordered arrangement of atoms in a crystalline solid. The three primary types are primitive cubic, body-centered cubic (BCC), and face-centered cubic (FCC). Each type has a distinct arrangement of atoms that affects the material's properties, such as density and stability.
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Zinc Blende Structure

Zinc sulfide (ZnS) commonly adopts the zinc blende structure, which is a face-centered cubic lattice. In this structure, zinc and sulfur atoms alternate in a tetrahedral coordination, leading to a specific arrangement that influences the compound's electronic and optical properties.
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Coordination Number

The coordination number refers to the number of nearest neighbor atoms surrounding a central atom in a crystal lattice. In the case of ZnS, the coordination number is four, indicating that each zinc atom is surrounded by four sulfur atoms and vice versa, which is characteristic of the tetrahedral arrangement in the zinc blende structure.
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Related Practice
Textbook Question

Pure iron crystallizes in a body-centered cubic structure, shown in the figure. but small amounts of impurities can stabilize a facecentered cubic structure. Which form of iron has a higher density?

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Textbook Question
Introduction of carbon into a metallic lattice generally results in a harder, less ductile substance with lower electrical and thermal conductivities. Explain why this might be so.
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Textbook Question
For each of the intermetallic compounds shown in Figure 12.17 determine the number of each type of atom in the unit cell. Do your answers correspond to the ratios expected from the empirical formulas: Ni3Al?

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Textbook Question

Silicon carbide, SiC, has the three-dimensional structure shown in the figure.

(b) Would you expect the bonding in SiC to be predominantly ionic, metallic, or covalent?

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Textbook Question

Energy bands are considered continuous due to the large number of closely spaced energy levels. The range of energy levels in a crystal of copper is approximately 1 * 10–19 J. Assuming equal spacing between levels, the spacing between energy levels may be approximated by dividing the range of energies by the number of atoms in the crystal. (b) Determine the average spacing in J between energy levels in the copper metal in part (a).

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Textbook Question

Sodium oxide (Na2O) adopts a cubic structure with Na atoms represented by green spheres and O atoms by red spheres.

(c) The unit cell edge length is 5.550 Å. Determine the density of Na2O.

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