Solution a 7474 R 147610 mx0010ou 10 d h k l 2 222h k l 11 b neutronsxrays neutrons pmv K 3840 4450 6485 7790 8185 9840 11120 ID: 855677
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1 Solution (a) = = (747.4) R = 1.4
Solution (a) = = (747.4) R = 1.47610 mou 10 ; d = h + k + l 2 4th reflection in FCC: 111; 200; 220; 311 222h + k + l = 11 (b) neutronsx-rays neutrons = = ,pmv K : 38.40°; 44.50°; 64.85°; 77.90°; 81.85°; 98.40°; 111.20°. Determine the crystal structure. Calculate the lattice consta
2 nt, a. Assume that the crystal is a
nt, a. Assume that the crystal is a pure metal and on the basis of the hard-sphere approximation calculate the atomic radius. Problem #3 The following diffractometer data (expressed as ) were generated from a specimen irradiated with silver (Ag) radiation: 14.10°; 19.98°; 24.57°; 28.41°; 31.85°; 34.98°; 37.89°; 40.61Â
3 °. Determine the crystal structure.
°. Determine the crystal structure. Calculate the lattice constant, a. Assume that the crystal is a pure metal and on the basis of the hard-sphere approximation calculate the atomic radius. would we find the first reflection if, instead of radiation, we used radiation to illuminate the specimen? Solution We foll
4 ow the same approach as described in the
ow the same approach as described in the answer to Problem 2. See table below. It is evident that the crystal structure is BCC. Look at the hkl (b) 2222sin7.5310,4ahkl u 0.574 Ã 0.574a = 3.31 Ã 47.5310 (c) In BCC, 3a4r r3.31 Ã =1.43 Ã (d) , hkl2 d sin hkl222hkl sin L given by: 9-136 R(Z - 7.4)1.
5 110(47 - 7.4)2.4010 m uu u = 4.17 Ã
110(47 - 7.4)2.4010 m uu u = 4.17 Ã 4.17 = sin63.023.31 Data Reduction of Diffractometer Experiment: incident x-ray =0.574 Ã KAg 2 sin fractions try again hkl 10 14.10 0.0151 1.00 1 2 110 7.550 19.98 0.0301 1.99 2 4 200 7.525 24.54 0.0452 2.99 3 6 211 7.533 28.
6 41 0.0602 3.99 4 8 220 7.525 31.85 0.07
41 0.0602 3.99 4 8 220 7.525 31.85 0.0753 4.99 5 10 310 7.530 34.98 0.0903 5.98 6 12 222 7.525 37.89 0.1054 6.98 7 14 321 7.529 40.61 0.1204 7.97 8 16 400 7.525 MIT OpenCourseWare http://ocw.mit.edu 3.091SC Introduction to Solid State Chemistry Fall 2009 For information about citing these materials or our Terms of Use, visit: .