Homework Assignment #1 (11-08-2011)

Homework Assignment #1 (11-08-2011) - Derive the...

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1 MAE 581 Advanced Materials Science Homework Assignment #1 (11-08-2011) Requirement: your homework must be printed materials Problem 1 Please use your own language (you can use equations if necessary) to describe the mechanism of homogeneous nucleation Problem 2 Please use your own language (you can use equations if necessary) to describe the mechanism of heterogeneous nucleation. Problem 3 Please use your own language to describe the origin of dislocations. Problem 4 In a binary system of A and B atoms with the phases α and β in equilibrium at constant T , V , each change in F can be described as the sum of the changes in both phases. The physical quantities of the system are given below: T : temperature V : volume F : Helmholtz free energy : number of atoms of the component i ( i = A , B ) in α phase : number of atoms of the component i ( i = A , B ) in β phase : the chemical potential of the component i ( i = A , B ) in α phase : the chemical potential of the component i ( i = A , B ) in β phase We also have the following relationship:
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Unformatted text preview: Derive the equilibrium conditions of the system. 2 Problem 5 Solid state can be regarded as a state of matter in which a large number of atoms are chemically bound to produce a dense solid aggregate. Write down your comments about: (a) van der Waals binding (b) Ionic binding (c) Covalent binding (d) Metallic binding Requirement: (1) Please use your own language to write your comments Problem 6 For a simple cubic lattice, determine the Miller indices for the planes shown in the following figures (a) and (b). 3 Problem 7 What is definition of Gibbss phase rule? In the following phase diagram, please use Gibbss phase rule to analyze the phase condition represented by the triple-point O. Problem 8 Please use your own language (you can use equations if necessary) to describe the Le Chateliers principle. Report due date: November 22, 2011 (You should hand in your report in class) No excuse for late homework...
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This note was uploaded on 01/16/2012 for the course MAE 581 taught by Professor Fu during the Fall '11 term at SUNY Buffalo.

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Homework Assignment #1 (11-08-2011) - Derive the...

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