College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 27, Problem 20P
To determine
The interplanar spacing of the crystal.
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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.
X-rays of wavelength equal to 0.134 nm give a first order diffraction from the surface of a crystal when the value of 0(theta) is 10.5°. Calculate the distance between the planes in the crystal parallel to the surface examined.
Should correct with full explanation.
(Gpt/Ai wrong answer not allowed)
An X-ray beam with A = 154 pm incident on the surface of a
crystal produced a maximum reflection at an angle of e = 28.3°.
Assuming n = 1, calculate the separation between layers of
atoms in the crystal.
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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- The first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?arrow_forwardThe structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?arrow_forwardAn X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.440 nm. Using an X-ray source of wavelength 0.548 nm, what is the angle (with respect to the planes in question) at which the experimenter needs to illuminate the crystal in order to observe a first-order maximum?arrow_forward
- Crystal lattices can be examined with x rays but not UV. Why?arrow_forwardCrystal lattices can be examined with X-rays but not UV. Why?arrow_forwardAn electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles 24.2°, 25.7°, 29.1°, and 41.0° when projected on a diffraction grating having 10,000 lines per centimeter?arrow_forward
- Tungsten is a very high density, high melting point, and hard metal. These properties are partially due to its body centered cubic (BCC) crystal structure. Tungsten has an atomic number of 74 and an average mass of 183.8u. (1u = 1.661x10-27 kg). X-ray diffraction experiments determine that the Bravais lattice has a characteristic length of 3.155 Å (This means each side of the cube shown below has a length of 0.3155 nm.)What is the density of single-crystalline tungsten? (Give your answer in g/cm.) Note: Single-crystalline indicates that the BCC unit cell repeats indefinitely. In poly-crystalline metals there are multiple domains with boundaries where the crystal structures do not line up. These materials tend to be much more brittle.arrow_forwardTungsten is a very high density, high melting point, and hard metal. These properties are partially due to its body centered cubic (BCC) crystal structure. Tungsten has an atomic number of 74 and an average mass of 183.8u. (1u = 1.661x10-27 kg). X-ray diffraction experiments determine that the Bravais lattice has a characteristic length of 3.155 Å (This means each side of the cube shown below has a length of 0.3155 nm.) How many complete tungsten atoms are there in each BCC unit cell?arrow_forwardX-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)?arrow_forward
- X-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_forwardThe first order diffraction peak of a crystalline solid occurs at a scattering angle of 30° when the diffraction pattern is recorded using an x-ray beam of wavelength 0.15 nm. If the error in measurements of the wavelength and the angle are 0.01 nm and 1° respectively, then the error in calculating the inter-planar spacing will approximately be (а) 1.1x107 пт (b) 1.3x10 пт (c) 2.5 x10 nm (d) 2.0x 10> птarrow_forwardPotassium chloride (KCI) has a set of crystal planes separated by a distance of d= 0.34 nm. At what glancing angle 0 to these planes would the first-order Bragg maximum occur for X-rays of wavelength 0.05 nm?arrow_forward
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