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Unformatted text preview: DATE: October 30, 2011 DUE: November 4, 2011 ENG45, Solution to homework set #5. 1. For the diamond cubic Bravais lattice shown in Figure 3.20/3.21 in the book: a. Give the lattice coordinates for the atoms found in the [100] direction? Calcu late the linear density of atoms in this direction for Ge. 000 and 100. The linear density is given by the length a and the total number of intersected atoms (1): ρ 100 = 1 a = 1 8 r Ge / √ 3 = √ 3 8 r Ge = 1 . 77nm − 1 (1) b. Give the lattice coordinates for the atoms found in the [110] direction? Calcu late the linear density of atoms in this direction for Ge. 000; 1 2 1 2 0; and 110. The linear density is given by the length √ 2 a and the total number of intersected atoms (2): ρ 110 = 2 √ 2 a = 2 √ 28 r Ge / √ 3 = √ 3 4 √ 2 r Ge = 2 . 51nm − 1 (2) c. Give the lattice coordinates for the atoms found in the [111] direction? Calcu late the linear density of atoms in this direction for Ge. 000, 111. The linear density is given by the length √ 3 a and the total number of intersected atoms (2): ρ 111 = 2 √ 3 a = 2 √ 38 r Ge / √ 3 = 1 4 r Ge = 2 . 05nm − 1 (3) d. Calculate the angles between the three directions of 1ac....
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 Fall '11
 jensen
 Atom, Harshad number, Order theory, Cubic crystal system, Partially ordered set

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