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What is the molecular orbital diagram and electronic configuration for the H2 molecule using the LCAO-MO (Linear Combination of Atomic Orbitals-Molecular Orbital) method?

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To construct the molecular orbital diagram and electronic configuration for the H2 molecule using the LCAO-MO method, we first need to consider the atomic orbitals of the individual hydrogen atoms. Each hydrogen atom has one electron in its 1s orbital.When two hydrogen atoms come close to each other to form a molecule, their atomic orbitals overlap and combine to form molecular orbitals. In the LCAO-MO method, the molecular orbitals are formed by taking linear combinations of the atomic orbitals. In the case of H2, the 1s orbitals of the two hydrogen atoms combine to form two molecular orbitals: one bonding    and one antibonding  * .The bonding molecular orbital    is formed by the in-phase combination of the two 1s atomic orbitals, resulting in a lower energy state and an increased electron density between the two nuclei. This stabilizes the molecule and promotes bonding.The antibonding molecular orbital  *  is formed by the out-of-phase combination of the two 1s atomic orbitals, resulting in a higher energy state and a decreased electron density between the two nuclei. This destabilizes the molecule and opposes bonding.Now, we can fill the molecular orbitals with the electrons from the two hydrogen atoms. Since there are two electrons in total, both will occupy the lower energy bonding orbital   .The molecular orbital diagram for the H2 molecule is as follows:H - H1s - 1s - *The electronic configuration for the H2 molecule is:  In summary, the molecular orbital diagram for the H2 molecule using the LCAO-MO method shows one bonding    and one antibonding  *  molecular orbital, with both electrons occupying the lower energy bonding orbital   . The electronic configuration is   .
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