Kronig penney model in reciprocal space

goldfalcon
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at page 174 there is a result for kronig penney model in reciprocal space whic equals 1/a when i tried to it i am obtaining 1+1/a with mathematice so what is wrong do you know how to evaulate in more detail??how to obtain 1/a?? thx
 
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that problem is done that post may be deleted thx..
 
Hi I had this doubt too.. can you tell me how its done? And the final step too.. what trigonometric identities have they used?
 
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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