Lattice parameter + valence + avg time between collisions

AI Thread Summary
The discussion centers on calculating the average time between collisions of conduction electrons in a metal with a body-centered cubic (bcc) structure. The relevant equation is τ=(σ*m)/(n*e^2), where n is the electron density, σ is conductivity, and e is the charge of an electron. There is confusion regarding the correct lattice parameter, with one user stating it as 4.05 Å and another as 4.3 Å. The density n is calculated based on the lattice parameter, leading to a value of 2.52e28. Clarification is needed on the correct lattice constant used in the calculations.
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valence Z=1, lattice param a = 4.05 conductivity = 1.76e7 . What's the avg time between collisions of a conduction electron in this metal (bcc structure).really have no idea lol
 
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The equation I think I got to use is : \tau=(\sigma*m)/ (n*e^2)

n= 2.52 e28 sigma = 2.38e7 and I'm guessing e = 1.6e-19 but i got the wrong answer.
 
How did you get the value for n? It seems that you have an error there.
 
Since the crystal structure of Na is bcc, there are two Na atoms in each conventional unit cell of volume a^3. Denisty n= 2/a^3... so 2/(4.3e-10)^3=2.52e28
 
In the original post you said that the lattice constant is 4.05A (and not 4.3).
Which one is it?
 
nasu said:
In the original post you said that the lattice constant is 4.05A (and not 4.3).
Which one is it?

ah sorry. in the example problem it's 4.3 but in the homework problem it's 4.05
 
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