The setup depicted in Figure $4.6$ is used in a diffraction experiment using X-rays of $0.26 nm$ wavelength. Constructive interference is noticed at angles of ${23.0}^{o}$ and, ${51.4}^{o}$ but none between. What is the spacing $d$ of atomic planes?

Question

The setup depicted in Figure $4.6$ is used in a diffraction experiment using X-rays of $0.26 nm$ wavelength. Constructive interference is noticed at angles of ${23.0}^{o}$ and, ${51.4}^{o}$ but none between. What is the spacing $d$ of atomic planes?

Accepted Answer

The spacing of atomic planes is $d = 3.33 \times 10^{-10} m$ .

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Short Answer

The setup depicted in Figure $4.6$ is used in a diffraction experiment using X-rays of $0.26 nm$ wavelength. Constructive interference is noticed at angles of ${23.0}^{o}$ and, ${51.4}^{o}$ but none between. What is the spacing $d$ of atomic planes?

Step by Step Solution

Step 1: Given Data.

Step 2: Bragg's equation.

Step 3: Constructive interference

Step 4: The Atomic plane spacing.

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Short Answer

The setup depicted in Figure 4.6is used in a diffraction experiment using X-rays of0.26 nmwavelength. Constructive interference is noticed at angles of23.0oand,51.4o but none between. What is the spacing d of atomic planes?

Step by Step Solution

Step 1: Given Data.

Step 2: Bragg's equation.

Step 3: Constructive interference

Step 4: The Atomic plane spacing.

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The setup depicted in Figure $4.6$ is used in a diffraction experiment using X-rays of $0.26 nm$ wavelength. Constructive interference is noticed at angles of ${23.0}^{o}$ and, ${51.4}^{o}$ but none between. What is the spacing $d$ of atomic planes?