Solved: The following table lists diffraction angles for

Chapter 3, Problem 3.75

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QUESTION:

The following table lists diffraction angles for the first three peaks (first-order) of the x-ray diffraction pattern for some metal. Monochromatic x-radiation having a wavelength of 0.1397 nm was used. (a) Determine whether this metals crystal structure is FCC, BCC, or neither FCC or BCC, and explain the reason for your choice. (b) If the crystal structure is either BCC or FCC, identify which of the metals in Table 3.1 gives this diffraction pattern. Justify your decision.

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QUESTION:

The following table lists diffraction angles for the first three peaks (first-order) of the x-ray diffraction pattern for some metal. Monochromatic x-radiation having a wavelength of 0.1397 nm was used. (a) Determine whether this metals crystal structure is FCC, BCC, or neither FCC or BCC, and explain the reason for your choice. (b) If the crystal structure is either BCC or FCC, identify which of the metals in Table 3.1 gives this diffraction pattern. Justify your decision.

ANSWER:


The diffraction pattern indicates that this metal has a cubic crystal structure, which could either be face-centered (FCC) or body-centered (BCC). T

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