Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 38, Problem 1CQ
To determine
Whether atoms in crystal can produce diffraction pattern for visible light.
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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.
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.
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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.
Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQCh. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQCh. 38 - Prob. 1OQCh. 38 - Prob. 2OQCh. 38 - Prob. 3OQ
Ch. 38 - Prob. 4OQCh. 38 - Prob. 5OQCh. 38 - Prob. 6OQCh. 38 - Prob. 7OQCh. 38 - Prob. 8OQCh. 38 - Prob. 9OQCh. 38 - Prob. 10OQCh. 38 - Prob. 11OQCh. 38 - Prob. 12OQCh. 38 - Prob. 1CQCh. 38 - Prob. 2CQCh. 38 - Prob. 3CQCh. 38 - Prob. 4CQCh. 38 - Prob. 5CQCh. 38 - Prob. 6CQCh. 38 - Prob. 7CQCh. 38 - Prob. 8CQCh. 38 - Prob. 9CQCh. 38 - Prob. 10CQCh. 38 - Prob. 11CQCh. 38 - Prob. 12CQCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Coherent light of wavelength 501.5 nm is sent...Ch. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - What is the approximate size of the smallest...Ch. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Consider an array of parallel wires with uniform...Ch. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - A grating with 250 grooves/mm is used with an...Ch. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Light from an argon laser strikes a diffraction...Ch. 38 - Show that whenever white light is passed through a...Ch. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53APCh. 38 - Prob. 54APCh. 38 - Prob. 55APCh. 38 - Prob. 56APCh. 38 - Prob. 57APCh. 38 - Prob. 58APCh. 38 - Prob. 59APCh. 38 - Prob. 60APCh. 38 - Prob. 61APCh. 38 - Prob. 62APCh. 38 - Prob. 63APCh. 38 - Prob. 64APCh. 38 - Prob. 65APCh. 38 - Prob. 66APCh. 38 - Prob. 67APCh. 38 - Prob. 68APCh. 38 - Prob. 69APCh. 38 - Prob. 70APCh. 38 - Prob. 71APCh. 38 - Prob. 72APCh. 38 - Prob. 73APCh. 38 - Light of wavelength 632.8 nm illuminates a single...Ch. 38 - Prob. 75CPCh. 38 - Prob. 76CPCh. 38 - Prob. 77CPCh. 38 - Prob. 78CPCh. 38 - Prob. 79CP
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- (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.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 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_forwardYou 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_forwardI need the answer as soon as possiblearrow_forward
- X-ray diffractionanalysis(using a Cu anode)of a specimen with a known cubiccrystal structure reveals that the peak generated as a result of reflection from the (110) plane occurs at a 2θ=32°. Determine the unit cell volume of this materialarrow_forwardplease solvearrow_forwardQ2/A/ Figure bellow shows an x-ray diffraction pattern for a-iron taken using a diffractometer and monochromatic x-radiation having a wavelength of 0.154 nm; each diffraction peak on the pattern has been indexed first order. Compute the interplaner spacing for each set of planes indexed; also determine the lattice parameter of Fe for each of the peaks?arrow_forward
- C1arrow_forwardA thin crystalline layer has to be characterized in terms of lattice constant (roughly 0.56 nm, twice the atom’s distance). You try to apply the technique of x-ray diffraction based on the Kß-line of 42Mo (ignore any screening effects). At which diffraction angle(s) can we expect a signal?arrow_forwardProblem 01: An x-ray diffractometer (XRD) recorder chart for an element which has either the BCC or the FCC crystal structure showed diffraction peaks at the following 20 angles: 40.663°, 47.314°, 69.144°, and 83.448°. (The wavelength 2 of the incoming radiation was 0.15405 nm.) Now using the Bragg's law and d-spacing formula: (a) Generalize the concept of radius ratio identify the crystal structure of the element. (b) Determine the lattice constant of the element. (c) Identify the element use the data of the Table 1. (d) If you were told that the metal is palladium, would you be surprised? How do you identify the discrepancy? You can use this table for interpretation. Table: 1: Selected metals that have the BCC, FCC, HCP crystal structure at room temperature (20°C) and their lattice constant, atomic radius, density, melting point temperature. Lattice Constants 20°C, nm Melting Paint, °C Atomic Radins, nm Crystal Structuret (20°C) Element Symbol Aluminum AI Sb 660 Antimony Arsenic 630…arrow_forward
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