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Grunberg-Nissan Equation Proof

  • Thread starter syki
  • Start date
  • #1
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Homework Statement



Prove:

ln(η) = Σ[xi*ln(ηi)]

2. The attempt at a solution

I tried using the relationship:

Σ(xi)=1

and the rules for adding logarithms, but I seem to be totally failing at this. I'm not asking to have it worked out, but any hints on which direction I should go?
 

Answers and Replies

  • #2
Borek
Mentor
28,402
2,801
From what I understand this is a semiempirical equation, so there is nothing to prove - you can at best test its applicability experimentally.
 
  • #3
2
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I was told to, specifically, prove the relationship:

ln(η) ≈ x1*ln(η1) + x2*ln(η2)

is true mathematically. I'm not really sure how to go about that.
 
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