Solution _1

# Solution _1 - MatSci 201 Principles of Properties of...

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MatSci 201 Principles of Properties of Materials Spring 2008 Problem Set #1 1. In class, we explained how water is heated by microwaves. Discuss if microwaves are effective in heating (a) ice, (b) carbon dioxide, and (c) carbon disulfide. Solution (a) Not effective. The rigid crystal structure makes it ineffective to transfer rotational energy into vibration. (b) Not effective. The CO 2 molecule is symmetric and is not a polar molecule. (c) Not effective. The CS 2 molecule is symmetric and is not a polar molecule. 2. (a) Sketch the [21 0] direction in a cubic unit cell. (b) Sketch the (21 0) plane in a cubic unit cell. (c) Calculate the angle between 0] and [321] directions. Solution (a) (b) (c) Cosine of the angle between the two stated directions = [2x3 + (-1)x2 + 0x1] / [ (4 + 1 + 0) 1/2 (9 + 4 + 1) 1/2 ] = 0.478 The angle is equal to 61.4 degrees. 3. Packing factor: (a) Question no. 6 from the textbook. (b) The packing factor for a BCC unit cell is 68%, in which all atoms/ions are identical. Consider the case when the body-centered ion is Cs + and the ions at

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## This note was uploaded on 04/30/2008 for the course MATSCI 201 taught by Professor Chung during the Spring '08 term at Northwestern.

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Solution _1 - MatSci 201 Principles of Properties of...

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