Lattice parameter + valence + avg time between collisions

exzacklyright
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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
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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