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I feel that this is a "graduate-level" question, so I hope that this question is not found to be insultingly easy.

Can someone help me gain an understanding of why bandgap and electron effective mass in semiconductors are proportional to one another (e.g. trend of C, Si, Ge, alpha-Sn shows decreasing bandgap and decreasing electron effective mass)? Or connect me to appropriate links or books with a good explanation? A combo of rigor and intuition would be best, though at this point, I would settle for the intuitive part.

Regards,

Siggy

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# Effective mass versus bandgap

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