Write down the wave function for the nonbonding molecular orbital for a heteronuclear diatomic molecule AB assuming that the electron on an average spend 90% of its time on nucleus A and 10% of its time on nucleus B.
In a simple LCAO–MO picture, the nonbonding orbital of heteronuclear AB is expanded as a symmetry-adapted linear combination of the relevant atomic orbitals, ψ\_nb = c\_A χ\_A + c\_B χ\_B, ___ ______ ________ _____ ____ __________ ___ _________ __________ _____.
__________ ________ ___ ____ _________ __________ ___ __________ ______ ____ ___.
______ _______ _____ ____ ___ ________ ______ _______ ___ _______ ______.
_______ ____ ______ ________ _____ ______.
_____ _______ ___ _________ ____ _________ ____ ________ ______ _____ ______ _______.
______ ________ _____ ________ ___ _________ ______.
__________ _______ ______ _____ _______.
______ _______ _______ _________ ________ ____ __________ _________ ________.
_________ ____ ___ _______ _______ _________.
_________ ________ ___ ____ ________ ______ _____ ____ _________ ______.
________ __________ _____ ______ ______ _________ _____ ___ _________ _____ _____ ____.
______ ________ __________ _____ _____ _____ _________ _________ __________ _________ _______.
_________ ____ _________ ______ __________ _________ _________.
__________ _________ __________.
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Calculate the most probable distance, rₘₚ, of the electron from the nucleus in the ground state of hydrogen atom, given that the normalized ground state wave function is
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ψ = ax(L – x)²
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Hₙ(ξ) = (-1)ⁿe^(ξ²) (dⁿ/dξⁿ)(e⁻^(ξ²))
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