[SolidState] Highest wavelength to excite an electron in CdTe

Ran4
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I'm reading through old exams, but there's not very much in the way of explanation, and this is one of the problems I have that I'm not sure that I fully understand.

We have the material CdTe. What is the highest allowable wavelength that incoming light can have in order to excite an electron from the valence band to the conduction band?

The relevant figure is this one:
jNlgNgV.png


The index V signifies valence electrons, C signifies the conduction band.

The highest wavelength is going to have the lowest energy, so I figure that you want the smallest difference between two energy levels of valence electrons and conduction band electrons. According to the figure that should happen in the \Gamma direction, and if we look at B_{4V} and B_{5C} that would give us about 1.6 eV.

The answer is supposed to be 1.45 eV (which is then used to calculate λ from λ=hc/ε), so I'm not sure if I'm doing this right.
 
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If at least one value is estimaged based on the graph, those "different" values could have the same origin.
Without additional markers and/or pixel counting, I don't think I could read off that value with a precision better than 0.2
 
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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