Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 4.19P
To determine
The glancing angle to the planes.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Potassium 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?
First-order Bragg scattering from a certain crystal occurs at an angle of incidence of
63.8°; see figure below. The wavelength of the x-rays is 0.261nm. Assuming that the
scattering is from the dashed planes shown, find the unit cell size ao.
63.8°
X rays
An x-ray was used to examine a sample of chromium having a BCC crystal structure.Using x-rays having a wavelength of 0.1682 nm, a diffractometer is used. The distorting (010) aircraft is the plane. Chromium has an atomic radius of 0.125 nm.
A)Compute the interplanar spacing and Calculate the diffraction angle. Assume second-order of diffraction, n = 2.
Chapter 4 Solutions
Modern Physics For Scientists And Engineers
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10P
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The 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_forwardThe first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?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
- As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.arrow_forwardA metal with body centered cubic (bcc) structure show the first (i.e. smallest angle) diffraction peak at a Bragg angle of 0 = 30°. The wavelength of X-ray used is 2.1 Å. The volume of the PRIMITIVE unit cell of the metal is (a) 26.2 (Å)³ (b) 13.1(Á)³ (c) 9.3 (Á)³ (d) 4.6 (Ấ)³arrow_forward. (2.a) What energy or wavelength must they have if X-rays are to be used in diffractionexperiments for the purpose of characterizing crystal structure? Explain.(2.b) Why is Drude theory important for the metals? Explain this question in terms ofthe assumptions of Drude theory.(2.c) What characteristics must be the crystal structure of a solid have in order for opticmodes to exist? You can use schematic drawing in your answers with your explanations.(2.d) Which of the following types of order is present in a crystalline solid? (a) shortrange order (b) long range order or (c) both short- and long-range order?arrow_forward
- The 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_forwardX ray diffraction in Potassium Chloride (KCl) results in a first order maximum when 97 pm wavelength X rays graze the crystal plane at 8.5 degrees. Find the spacing between crystal plane?arrow_forwardWhen a diffraction pattern of a crystalline solid is recorded using an X-ray beam of wavelength 0.26 nm, the first order diffraction peak occurs at a scattering angle of 35°. If the error in the measurements of angle and wayelength are 1° and 0.01 nm respectively, then determine the error in measuring the interplanar spacing. (a) 22.86 nm (b) 32.38 nm (c) 15.2 nm (d) 13.2 nmarrow_forward
- If the first-order diffraction maximum is observed at 12.1° for a crystal having an interplanar spacing of 0.280 nm. At what angle will the 4th order diffraction maximum appear? Group of answer choices 48.4 degrees 52.3 degrees 55.6 degrees 57.0 degreesarrow_forwardThe first-order diffraction maximum is observed at 12.4° for a crystal having a spacing between planes of atoms of 0.285 nm. (a) What wavelength x-ray is used to observe this first-order pattern? nm (b) How many orders can be observed for this crystal at this wavelength? A leliarrow_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning