hw7 - irradiated with silver K radiation: 14.10; 19.98;...

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3.091 Fall Term 2004 Homework #7 October 19, 2004 1. (a) In a diffractometer experiment a specimen of thorium is irradiated with tungsten L α radiation. Calculate the angle, θ , of the 4th reflection. (b) Suppose that the experiment described in part (a) is repeated but this time the incident beam consists of neutrons instead of x-rays. What must the neutron velocity be in order to produce reflections at the same angles as those produced by x-rays in part (a)? 2. A Debye-Scherrer powder diffraction experiment using incident copper K α raditation gave the following set of reflections expressed as 2 θ : 38.40 ° ; 44.50 ° ; 64.85 ° ; 77.90 ° ; 81.85 ° ; 98.40 ° ; 111.20 ° . (a) Determine the crystal structure. (b) Calculate the lattice constant, a. (c) Assume that the crystal is a pure metal and on the basis of the hard-sphere approximation calculate the atomic radius. (d) Calculate the density of this element which has an atomic weight of 66.6 g/mol. 3. The following diffractometer data (expressed as 2 ) were generated from a specimen
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Unformatted text preview: irradiated with silver K radiation: 14.10; 19.98; 24.57; 28.41; 31.85; 34.98; 37.89; 40.61. (a) Determine the crystal structure. (b) Calculate the lattice constant, a. (c) Assume that the crystal is a pure metal and on the basis of the hard-sphere approximation calculate the atomic radius. (d) At what angle, , would we find the first reflection if, instead of K radiation, we used silver L radiation to illuminate the specimen? 4. What is the maximum wavelength ( ) of radiation capable of second order diffraction in platinum (Pt)? 5. What acceleration potential ( V ) must be applied to electrons to cause electron diffraction on {220} planes of gold (Au) at = 5 ? 6. How can diffraction on {110} planes of palladium (Pd) be used to isolate K radiation from the white spectrum of x-rays emitted by an x-ray tube with a copper (Cu) target? (Rationalize your answer and provide and appropriate schematic drawing.)...
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