10 Questions
What is the formula for Young's modulus Y in terms of interionic separation r?
$Y = \frac{1}{6r} \frac{d}{dr} \left( r^2 \frac{dE(r)}{dr} \right)$
What does the bulk modulus K represent in the given context?
Response of a material to hydrostatic pressure
Based on the Peierls-Nabarro model, how are the elastic modulus Y and bulk modulus K related?
$K = Y/3(1-2\nu)$
What crystal structure has a constant c value of 1.5 in the context of finding bulk modulus K?
CsCl
What correction factor would be applied to determine the elastic modulus Y for NaCl crystal structure?
$c = 2$
In which temperature range is Ne a crystalline solid with an FCC structure?
Below 24.5 K
How does the value of Y = 75 GPa calculated from the PE curve compare to the experimental value after correcting for the crystal structure?
It is smaller than the experimental value
What is the Poisson's ratio, υ, approximately for many ceramics according to the text?
$\frac{1}{4}$
In what units is Young's modulus Y typically expressed?
Gigapascals (GPa)
What is the connection between elastic modulus Y and interionic separation r?
Exponential relationship
This quiz solution involves calculating the binding energy and equilibrium ionic separation in a NaCl crystal. It also includes calculating the energy involved in electron transfer from Cl- to Na+. Test your understanding of ionic bonding with this detailed solution.
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