The wave functions of 1s-orbitals of two hydr | vedclass

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(D) According to molecular orbital theory:$I$. $\sigma^*$-orbitals are formed by the subtraction of two wave functions,$\psi_A$ and $\psi_B$,therefore

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$I, III$ only

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(D) According to molecular orbital theory:$I$. $\sigma^*$-orbitals are formed by the subtraction of two wave functions,$\psi_A$ and $\psi_B$,therefore $\sigma^* = \psi_A - \psi_B$. This is correct.$II$. $\sigma$-orbitals are formed by the constructive interference of two orbitals in the same phase,and thus,they do not have a nodal plane between the two nuclei. This statement is incorrect.$III$. The combination of two $1s$ atomic orbitals gives two molecular orbitals,one of which is of lower energy,called the $\sigma$ bonding orbital,and the other is of higher energy,called the $\sigma^*$ anti-bonding orbital. This is correct.Hence,$(I)$ and $(III)$ are the correct statements,and option $(D)$ is the correct answer.

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