Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 39P
To determine
If the resolution of a spectrograph is
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Q. 1. An X-ray beam of wavelength 0.71 A is diffracted by a cubic KCL crystal of density 1.99x10^3 Kgm-3. Calculate the interplanner spacing for (200) planes and glancing angle for the second order reflection from these planes. The molecular weight of KCL is 74.6 amu and the Avagadro’s numberis 6.023x10^26 Kg-1 mole-1.
X-rays with wavelengths of 128 pm was used to study a crystal which produced
a reflection of 15.8 degrees. Assuming first order diffraction (n = 1), what is the
distance between the planes of atoms (d)?
When x - rays of wavelength of 0.129 nm are incident on the surface of a crystal having a structure similar to that of NaCl, a first - order maximum is observed at 8.15°. Calculate the interplanar spacing of the crystal based on this information.
Chapter 4 Solutions
Modern Physics for Scientists and Engineers
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- The spacing between crystalline planes in the NaC1 crystal is 0.281 nm, as determined by X-ray diffraction with X-rays of wavelength 0.170 nm. What is the energy of neutrons in the neutron beam that produces diffraction peaks at the same locations as the peaks obtained with the X-rays?arrow_forwardWhich type of radiation is most suitable for the observation of diffraction patterns on crystalline solids; radio waves, visible light, or X-rays? Explain.arrow_forwardShow that the entire Paschen series is in the infrared part of the spectrum. To do this, you only need to calculate the shortest wavelength in the series.arrow_forward
- At 293 K, the Bragg angle for X-ray peak (111) from a powdered gold metal specimen is 38.30o. If the same peak is detected at 493 K, calculate the angle. Assume gold metal has a coefficient of linear thermal expansion of 14.2 x10-6 K-1 and a length of 0.47 nm for its standard FCC unit cell.arrow_forwardX rays with a wavelength of 0.105 nm are diffracted by a crystal with a simple cubic lattice. Diffraction maxima are observed at angles 31.6° and 55.4° and at no angles between these two. What is the spacing between the atomic planes that cause this diffraction?arrow_forwardNEED SOLUTION ASAP!!! The emission spectrum of the hydrogen atom is recorded using a diffraction grating (lattice constant d=2 μm). What is the minimum number of lines that a diffraction grating must have if the first 30 spectral lines of the Balmer series of the hydrogen atom are to be resolved in the first-order diffraction spectrum?arrow_forward
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