College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 27, Problem 14CQ
To determine
Can a crystal be used to produce a diffraction pattern with visible light as it does for x-rays.
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The atoms in a crystal lie in planes separated by a few tenths of a nanometer. Can a crystal be used to produce a diffraction pattern with visible light as it does for x-rays? Explain your answer with reference to Bragg’s law.
(a)
What are X-rays? Differentiate between characteristic (monochromatic) and continuous
X-rays. What are Laue equations for diffraction of X-rays by a crystalline solid? Show
that the Bragg's equation is a special case of the Laue equations.
X-rays of wavelength 0.0628 nm are scattered from a crystal with a grazing angle of 11.3°. Assume m = 1
for this process. Calculate the spacing between the crystal planes.
d =
nm
Chapter 27 Solutions
College Physics:
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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- You are given a small bar of an unknown metal. You find the density of the metal to be 18.6 g/cm3. An x-yar diffraction experiment measures the edge of the face-centered cubic unit cell as 4.13 x 10-10m. Find the atomic weight (in g/mol) of this metal and assess its identity.arrow_forwardA CD-ROM is used instead of a crystal in an electron diffraction experiment. The surface of the CD-ROM has tracks of tiny pits with a uniform spacing of 1.60 mm. (a) If the speed of the electrons is 1.26 X 104 m/s, at which values of q will the m = 1 and m = 2 intensity maxima appear? (b) The scattered electrons in these maxima strike at normal incidence a piece of photographic film that is 50.0 cm from the CD-ROM. What is the spacing on the film between these maxima?arrow_forwardYou are given a small bar of an unknown metal. You find the density of the metal to be 11.5 g/cm3. An X-ray diffraction experiment measures the edge of the face-centered cubic unit cell as 4.06 x 10-10 m. Find the gram-atomic weight of this metal and tentatively identify it.arrow_forward
- Tungsten (W) crystallizes in cubic structure. The edge length of the unit cell of this crystal structure is a = 3.1648 Å. When the X-ray diffraction experiment is performed, scattering occurs from the following planes: (110), (200), (211), (220), (310), (222), (321), (400), (411), (420), (332), (431) Which of the x-rays scattered from the (110) and (200) planes has the greatest intensity? Hint: The intensity of the x-ray scattered from any atom decreases as the scattering angle increases. Also note that λ / 2d = sinθ.arrow_forwardplease explainarrow_forwardX-ray diffraction analysis (using a Cu anode) of a specimen with a known cubic crystal structure reveals that the peak generated as a result of reflection from the (110) plane occurs at a 20=32°. Determine the unit cell volume of this materialarrow_forward
- The figure below shows a graph of intensity as a function of angle for X-ray diffraction in a given crystal.X-ray diffraction in a given crystal. The beam consists of two wavelengths, and the spacing between thereflection planes is 0.94 nm. What are these wavelengths?arrow_forwardPROBLEM For a given x-ray diffraction test (n = 1) on a cubic crystal structure, the recorded diffraction peaks (20) were 24.09°, 34.33°, 42.37°, 49.33°, 55.62°, and 61.48°. The x-ray wavelength used in the test was 0.15418 nm. For this test, determine the crystal structure of the element, the lattice constant, and identify the element.arrow_forwardX rays scattered from a crystal have a fi rst-order diffraction peak at θ =12.5°. At what angle will the second- and third-order peaks appear?arrow_forward
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