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Questions and Answers
What is the formula for Young's modulus Y in terms of interionic separation r?
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?
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?
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?
What crystal structure has a constant c value of 1.5 in the context of finding bulk modulus K?
What correction factor would be applied to determine the elastic modulus Y for NaCl crystal structure?
What correction factor would be applied to determine the elastic modulus Y for NaCl crystal structure?
In which temperature range is Ne a crystalline solid with an FCC structure?
In which temperature range is Ne a crystalline solid with an FCC structure?
How does the value of Y = 75 GPa calculated from the PE curve compare to the experimental value after correcting for the crystal structure?
How does the value of Y = 75 GPa calculated from the PE curve compare to the experimental value after correcting for the crystal structure?
What is the Poisson's ratio, Ï…, approximately for many ceramics according to the text?
What is the Poisson's ratio, Ï…, approximately for many ceramics according to the text?
In what units is Young's modulus Y typically expressed?
In what units is Young's modulus Y typically expressed?
What is the connection between elastic modulus Y and interionic separation r?
What is the connection between elastic modulus Y and interionic separation r?