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1)Tungsten (W) crystallizes in cubic structure. Side length of the unit cell of this crystal structure a=3.1648 Å. When the X-ray diffraction experiment is performed, scattering occurs from the following planes: (110), (200), (211), (220), (310), (222), (321), (400), (411), (420), (332), (431) a) Which of the x-rays seattered from the (110) and (200) planes has the greatest intensity? Hint: The intensity of the x-ray emitted from any atom decreases as the scattering angle increases. Also note that . / 2d = sin0. b) Calculate the structure factor F1 for this crystal structure for the (110) and (200) planes. Here the scattering factor is fw(110)=58 and fw(200)=51. In this crystal structure, two W atoms are in (0,0,0) and (0.5,0.5,0.5) positions, respectively

1)Tungsten (W) crystallizes in cubic structure. Side length of the unit cell of this crystal structure a=3.1648 Å. When the X-ray diffraction experiment is performed, scattering occurs from the following planes: (110), (200), (211), (220), (310), (222), (321), (400), (411), (420), (332), (431) a) Which of the x-rays seattered from the (110) and (200) planes has the greatest intensity? Hint: The intensity of the x-ray emitted from any atom decreases as the scattering angle increases. Also note that . / 2d = sin0. b) Calculate the structure factor F1 for this crystal structure for the (110) and (200) planes. Here the scattering factor is fw(110)=58 and fw(200)=51. In this crystal structure, two W atoms are in (0,0,0) and (0.5,0.5,0.5) positions, respectively

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1)Tungsten (W) crystallizes in cubie structure. Side length of the unit cell of this crystal structure a=3.1648 Å. When the X-ray diffraction experiment is perfomed, scattering occurs from the following planes: (110), (200), (211), (220), (310), (222), (321), (400), (411), (420), (332), (431) a) Which of the x-rays scattered from the (110) and (200) planes has the greatest intensity? Hint: The intensity of the x-ray emitted from any atom decreases as the scattering angle increases. Also note that / 2d = sine. b) Calculate the structure factor Fi1 for this crystal structure for the (110) and (200) planes. Here the scattering factor is fw(110)=58 and fw(200)=51. In this crystal structure, two W atoms are in (0,0,0) and (0.5,0.5,0.5) positions, respectively
Transcribed Image Text:1)Tungsten (W) crystallizes in cubie structure. Side length of the unit cell of this crystal structure a=3.1648 Å. When the X-ray diffraction experiment is perfomed, scattering occurs from the following planes: (110), (200), (211), (220), (310), (222), (321), (400), (411), (420), (332), (431) a) Which of the x-rays scattered from the (110) and (200) planes has the greatest intensity? Hint: The intensity of the x-ray emitted from any atom decreases as the scattering angle increases. Also note that / 2d = sine. b) Calculate the structure factor Fi1 for this crystal structure for the (110) and (200) planes. Here the scattering factor is fw(110)=58 and fw(200)=51. In this crystal structure, two W atoms are in (0,0,0) and (0.5,0.5,0.5) positions, respectively
Expert Answer Step 1 u sin g 2d sin 0 = 1 sin 0 = 2d now for ( 110 ) plane, d * = 2. 24Å = sO (1)- similarly for ( 200 plane ) sin 0 = 4.48Å sin 0 = 3.2A (-) in (1) unt (2). we find that for theknown value of 2 the plane ( 200 ) has and greater value of angle so it has smaller intensity than ( 110 plane Step 2 so l110 > 200
Transcribed Image Text:Expert Answer Step 1 u sin g 2d sin 0 = 1 sin 0 = 2d now for ( 110 ) plane, d * = 2. 24Å = sO (1)- similarly for ( 200 plane ) sin 0 = 4.48Å sin 0 = 3.2A (-) in (1) unt (2). we find that for theknown value of 2 the plane ( 200 ) has and greater value of angle so it has smaller intensity than ( 110 plane Step 2 so l110 > 200
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