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# Structure.questions I-answer - MTLE-2100 Structure of...

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MTLE-2100 Structure of Engineering Materials , Questions I-Answer 1. Sketch the following planes and directions in cubic unit cell: (123), [123], (112), [112], ] 10 1 [ ), 10 1 ( . Show that each of the planes above contains the ] 1 11 [ direction. Only planes are shown. In order to show that the planes contain the direction, the plane normal has to be perpendicular to the direction. Or the dot product should be zero. (123) and ] 1 11 [ 1x1 + 2x1 + 3x(-1) = 0 (112) and ] 1 11 [ 1x1 + 1x1 + 2x (-1) = 0 ) 10 1 ( and ] 1 11 [ (-1)x1 + 1x1 + 0x(-1) = 0 2. Calculate the fraction of the total space occupied by spherical atoms or atomic packing factor (APF) in fcc and bcc crystals. Fcc: volume of unit cell a 3 . Volume of atoms: there are four atoms in a unit cell, 4x(4 π /3)r 3 Face diagonal of the unit cell 2 a = 4r. Volume fraction = 4x(4 π /3)r 3 / a 3 = 4x(4 π /3)r 3 / (4r/ 2) 3 =4x(4 π /3)/(4/ 2) 3 =0.74 Bcc: volume of unit cell a 3 . Volume of atoms: there are two atoms in a unit cell, 2x(4

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Structure.questions I-answer - MTLE-2100 Structure of...

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