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Course: ENGIN 45, Spring 2011School: Berkeley
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45 Engineering The Structure and Properties of Materials Midterm Exam March 18, 1998 Problem 1: (a) Describe how the Cu3Au, NaCl and -ZnS structures are derived from FCC. (b) Only one of these structures is commonly found in compound semiconductors. Which? Why? Problem 2: An interface between two phases is an open system with work function S = A 2.1 where A is the area of the interface and is its interfacial...
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45 Engineering The Structure and Properties of Materials Midterm Exam March 18, 1998 Problem 1: (a) Describe how the Cu3Au, NaCl and -ZnS structures are derived from FCC. (b) Only one of these structures is commonly found in compound semiconductors. Which? Why? Problem 2: An interface between two phases is an open system with work function S = A 2.1
where A is the area of the interface and is its interfacial tension. Given this equation explain the following observations. (a) A drop of water in free fall takes a spherical shape. (b) A particle of table salt takes a cubic shape. (c) It is a good idea to clean superficial oxides and adsorbed films off of a surface before trying to wet it or bond to it. Problem 3: The solidification of SiO2 is governed by kinetic relations that are roughly reproduced in the figure below, where is the time necessary to initiate solidification and T is the undercooling below the melting point.
T gs ls a
ln () ctls ra y
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Engineering 45: Spring, 1998
Midterm Exam
(a) explain Briefly why the kinetics of crystallization of SiO2 are governed by a c-curve like that shown in the figure. (b) Why is the liquid-glass transformation governed by a horizontal line (at the "glass transition temperature", Tg) as shown in the figure? (c) "Glass-forming" species such as Na are added to SiO2 to promote glass formation. What is their most important effect on the kinetic relations shown in the figure? Problem 4: The diffusivity of a substitutional component in a crystal with a random distribution of vacancies is given by a relation that can be written in the form D = xvDv where xv is the mole fraction of vacancies and Dv is the diffusivity of a vacancy. (a) Explain why this relation holds. (b) If the material is cooled quickly from high temperature, D has an anomalously high value for some time after the quench. Why? (c) If the material is deformed severely enough to force some dislocation climb, D is anomalously high during the deformation. Why? 4.1
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