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(D) In a semiconductor,the lattice constant $a$ is inversely related to the overlap of atomic orbitals. When the lattice constant is decreased,the int

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All $E_c, E_g, E_v$ increase.

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(D) In a semiconductor,the lattice constant $a$ is inversely related to the overlap of atomic orbitals. When the lattice constant is decreased,the interatomic distance decreases,which leads to stronger interaction between atoms. This stronger interaction causes the energy bands to broaden,meaning the widths of the conduction band $(E_c)$ and the valence band $(E_v)$ increase. However,the increase in the interaction also leads to an increase in the energy band gap $(E_g)$ because the bonding and anti-bonding states are pushed further apart. Therefore,$E_c$ and $E_v$ increase,but $E_g$ also increases. Wait,re-evaluating the standard physics model for this specific problem type: In many textbook contexts,decreasing the lattice constant increases the overlap,which increases the bandwidths ($E_c$ and $E_v$) and typically increases the band gap $(E_g)$. However,based on the provided options and the standard interpretation of this specific question,the correct relationship is that $E_c$ and $E_v$ increase while $E_g$ increases. Since this option is not explicitly listed as a single choice,we must look at the physical behavior. Actually,the correct physical behavior is that $E_c$ and $E_v$ increase,and $E_g$ increases. Given the options,if we assume the question implies a specific material behavior where $E_g$ might decrease,we must select the best fit. Re-checking: The correct answer is $D$.

If the lattice constant of this semiconductor is decreased,then which of the following is correct?

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