Chapter 36, Problem 073 Consider a two-dimensional square crystal structure, such as one side of the structure shown in the figure. The largest interplanar spacing of reflecting planes is the unit cell size ap. Find the (a) second largest, (b) third largest, (c) fourth largest, (d) fifth largest, and (e) sixth largest interplanar spacing. Na+ do

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### Chapter 36, Problem 073

Consider a two-dimensional square crystal structure, such as one side of the structure shown in the figure. The largest interplanar spacing of reflecting planes is the unit cell size \(a_0\). Find the (a) second largest, (b) third largest, (c) fourth largest, (d) fifth largest, and (e) sixth largest interplanar spacing.

#### Diagram Description:

The figure displays a three-dimensional crystal lattice structure of NaCl (Sodium Chloride) with the dimensions \(a_0 \times a_0 \times a_0\). The lattice has a cubic arrangement where each corner of the cube is represented by dots connected by lines. Sodium ions (Na⁺) and Chloride ions (Cl⁻) are arranged alternately at the lattice points.

Below the textual problem, there are editable text boxes for recording answers to parts (a) through (e):

(a) [Edit]
(b) [Edit]
(c) [Edit]
(d) [Edit]
(e) [Edit] 

### Explanation for Graphs or Diagrams:
- **3D Lattice Diagram**: The diagram depicts the cubic crystalline structure of NaCl, with labeled unit cell dimension \(a_0\).
- **Unit Cell**: A unit cell size is often denoted as \(a_0\), which represents the largest interplanar spacing in this context. The figure shows interplanar spacings and how they are defined within the structure.

For further calculations, understanding the relationship between lattice planes and interplanar spacings using crystallography and solid-state physics principles can help determine the subsequent largest interplanar spacings.
Transcribed Image Text:### Chapter 36, Problem 073 Consider a two-dimensional square crystal structure, such as one side of the structure shown in the figure. The largest interplanar spacing of reflecting planes is the unit cell size \(a_0\). Find the (a) second largest, (b) third largest, (c) fourth largest, (d) fifth largest, and (e) sixth largest interplanar spacing. #### Diagram Description: The figure displays a three-dimensional crystal lattice structure of NaCl (Sodium Chloride) with the dimensions \(a_0 \times a_0 \times a_0\). The lattice has a cubic arrangement where each corner of the cube is represented by dots connected by lines. Sodium ions (Na⁺) and Chloride ions (Cl⁻) are arranged alternately at the lattice points. Below the textual problem, there are editable text boxes for recording answers to parts (a) through (e): (a) [Edit] (b) [Edit] (c) [Edit] (d) [Edit] (e) [Edit] ### Explanation for Graphs or Diagrams: - **3D Lattice Diagram**: The diagram depicts the cubic crystalline structure of NaCl, with labeled unit cell dimension \(a_0\). - **Unit Cell**: A unit cell size is often denoted as \(a_0\), which represents the largest interplanar spacing in this context. The figure shows interplanar spacings and how they are defined within the structure. For further calculations, understanding the relationship between lattice planes and interplanar spacings using crystallography and solid-state physics principles can help determine the subsequent largest interplanar spacings.
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