EE145 Spring 2002 Homework 1 Solution: Chapter 1 Ionic Bonding
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Questions and Answers

What is the formula for Young's modulus Y in terms of interionic separation r?

  • $Y = 7.54 \times 10^{10}$
  • $Y = \frac{1}{6r} \frac{d}{dr} \left( r^2 \frac{dE(r)}{dr} \right)$ (correct)
  • $Y = 8.364 \times 10^{-95} r - 1.3433 \times 10^{-28} r^4$
  • $Y = \frac{1}{8.06 \times 10^{28} r^3 + 501.84 \times 10^{96} r^{10}}$

    • What does the bulk modulus K represent in the given context?

  • Relationship between Young's modulus and interionic separation
  • Poisson's ratio
  • Response of a material to hydrostatic pressure (correct)
  • Interionic separation

    • Based on the Peierls-Nabarro model, how are the elastic modulus Y and bulk modulus K related?

  • $K = Y/3(1-2\nu)$ (correct)
  • $K = Y(1-2\nu)/3$
  • $Y = K/3(1-2\nu)$
  • $Y = K(1-2\nu)/3$

    • What crystal structure has a constant c value of 1.5 in the context of finding bulk modulus K?

    <p>CsCl</p> Signup and view all the answers

    What correction factor would be applied to determine the elastic modulus Y for NaCl crystal structure?

    <p>$c = 2$</p> Signup and view all the answers

    In which temperature range is Ne a crystalline solid with an FCC structure?

    <p>Below 24.5 K</p> Signup and view all the answers

    How does the value of Y = 75 GPa calculated from the PE curve compare to the experimental value after correcting for the crystal structure?

    <p>It is smaller than the experimental value</p> Signup and view all the answers

    What is the Poisson's ratio, υ, approximately for many ceramics according to the text?

    <p>$\frac{1}{4}$</p> Signup and view all the answers

    In what units is Young's modulus Y typically expressed?

    <p>Gigapascals (GPa)</p> Signup and view all the answers

    What is the connection between elastic modulus Y and interionic separation r?

    <p>Exponential relationship</p> Signup and view all the answers

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