On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different known wavelength of 0.137 nm, a second-order maximum is detected at 37.3°. Determine a. the spacing between the reflecting planes. b. the unknown wavelength.

On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different known wavelength of 0.137 nm, a second-order maximum is detected at 37.3°. Determine a. the spacing between the reflecting planes. b. the unknown wavelength.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 76P: On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1°...

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On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
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