College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 27, Problem 22P
To determine
The orders that can be observed in the diffraction pattern and the angle at which they appear. Why is there an upper limit to the number of observed orders.
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The first - order diffraction maximum is observed at 12.6° for a crystal having an interplanar spacing of 0.240 nm. How many other orders can be observed in the diffraction pattern, and at what angles do they appear? Why is there an upper limit to the number of observed orders?
Consider scattering with electrons of 54 eV on a crystal with planes separated by 0.22 nm. How many diffraction peaks should be expected? Justify your answer
If X-ray diffraction peaks corresponding to the firstthree orders (m= 1,2 and 3) are measured, can both theX-ray wavelength λ and lattice spacing d be determined?Prove your answer
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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- Potassium iodide (Kl) has the same crystalline structure as NaCI, with atomic planes separated by 0.353 nm. A monochromatic x-ray beam slums a first-order diffraction maximum when the grazing angle 7.60. Calculate the x-ray wavelength.arrow_forwardExplain the importance of the Young double-slit experiment.arrow_forwardThe first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?arrow_forward
- Speculate as to how the diffraction patterns of a typical crystal would be affected if -rays were used instead of X-rays.arrow_forwardIf 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_forwardWhat are “diffraction pattern” and “electron density map.”? Can you please brielfy explain it and what mathematical function relates the two in an X-ray crystallography experiment?arrow_forward
- The interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.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_forwardIn an earlier version of the double-slit experiment, scientists used helium atoms (from a reservior kept at 295 K) that exit the nozzle after expansion with a wavelength λ = 0.56 Å. The spacing d between the slits is 8 ± 0.6 µm, and the distance between the slits and the detection plane is 0.64 m in their experiement. Calculate the spacing between maxima in the detection plane. The observed spacing is 4.5 ± 0.6 µm.arrow_forward
- A CdTe planar wafer has an absorption coefficient of 3.2 × 10^4??−1for light ofwavelength 530 nm Determine the minimum thickness the CdTe wafer has to be for 95% of this wavelength to beabsorbed.arrow_forwardWhen X-rays of wavelength lambada = 0.20nm are re-flected off the face of a crystal, a Bragg maximum is observed at a glancing angle theta= 17.5 degrees of with sufficient intensity that it is judged to be first order.(a)What is the spacing d of the planes that are paral-lel to the face in question? (b)What are the glancing angles of all higher order maxima?arrow_forwardwhy 200 diffraction peak appears in primitive cubic unit cell though plane (2 0 0) does not contain any atom.arrow_forward
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