Question 3.12 Sodium chloride (NaCI) has a cubic lattice with four Nat ions and four CI- ions per unit cell. In addition, Na+ ions occupy the corner of a unit cell as well as the center of the plane, whereas CIF ions occupy the center of a cube as well as the midpoint of each edge-line. This structure can also be produced in the following way; Na+ ions form fcc lattice and the face-centering translations can reproduce all positions of CF ions, when applied to CI¯ ions located at (1/2, 1/2, 1/2). As a result, any of the Na+ ions is surrounded by six ClF ions and the reverse relationship is recognized. Eight ions in the unit cell of NaCl are given as follows. Na" (000) (금금) (금날) (일굴) (-) (-«) (~:) () CF (1) Compute the structure factor Fhkl , assuming that the scattering factors of Na and Cl are expressed by fNa and fcı, respectively. (2) Compute the structure factors of planes (111) and (200).

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Question 3.12 Sodium chloride (NaCI) has a cubic lattice with four Na+ ions
and four CI- ions per unit cell. In addition, Na+ ions occupy the corner of a
unit cell as well as the center of the plane, whereas CIF ions occupy the center
of a cube as well as the midpoint of each edge-line.
This structure can also be produced in the following way; Na+ ions form
fcc lattice and the face-centering translations can reproduce all positions of
CF ions, when applied to CI ions located at (1/2, 1/2, 1/2). As a result, any
of the Nat ions is surrounded by six CF ions and the reverse relationship is
recognized. Eight ions in the unit cell of NaCl are given as follows.
Nat (00) (글금이) (금일) (얼)
(e*:) (-~) («:) ()
CF
(1) Compute the structure factor Fħkl, assuming that the scattering factors of
Na and Cl are expressed by fNa and fca, respectively.
(2) Compute the structure factors of planes (111) and (200).
Transcribed Image Text:Question 3.12 Sodium chloride (NaCI) has a cubic lattice with four Na+ ions and four CI- ions per unit cell. In addition, Na+ ions occupy the corner of a unit cell as well as the center of the plane, whereas CIF ions occupy the center of a cube as well as the midpoint of each edge-line. This structure can also be produced in the following way; Na+ ions form fcc lattice and the face-centering translations can reproduce all positions of CF ions, when applied to CI ions located at (1/2, 1/2, 1/2). As a result, any of the Nat ions is surrounded by six CF ions and the reverse relationship is recognized. Eight ions in the unit cell of NaCl are given as follows. Nat (00) (글금이) (금일) (얼) (e*:) (-~) («:) () CF (1) Compute the structure factor Fħkl, assuming that the scattering factors of Na and Cl are expressed by fNa and fca, respectively. (2) Compute the structure factors of planes (111) and (200).
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