Kittel Ch 8: Understanding Split-off Band, Longitudinal & Transverse Mass

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Homework Statement


This question refers to Kittel's solid-state physics book.

I am confused the split-off band, the longitudinal mass, and the transverse mass that Kittel starts talking about on page 202 in the section about Silicon and Germanium.
Can explain what these terms mean? Thanks.

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The Attempt at a Solution

 
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At a guess (I don't have the book), longitudinal mass is the effective mass of longitudinal waves and similarly for transverse mass.
 
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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