How to calculate the energy of the bonding state of a hydrogen molecule?

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SUMMARY

The discussion focuses on calculating the energy of the bonding and antibonding states of a hydrogen molecule (H2). The average bond energy for the H-H bond is established at -436 kJ/mol, translating to a bonding energy state of approximately -4.52 eV per molecule. This value is incorrectly assumed to be acceptable, as it should be lower than -13.6 eV, indicating a misunderstanding in the calculation or conceptual framework regarding molecular bonding energies. Participants suggest resources for further understanding the analytical and numerical approaches to these calculations.

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Chemistry students, quantum physicists, and researchers in molecular chemistry seeking to deepen their understanding of hydrogen molecule bonding states and energy calculations.

Arafat Sagar
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How to calculate the energy of the bonding state and antibonding state of a hydrogen molecule? and also how to plot the bonding and antibonding wavefunctions.


I have solved Ψ(r,θ,Φ) for a hydrogen atom. and calculated the energy states of it with complete analytical approach. now, i need to know about hydrogen molecule. please prescribe me any book or link that provides the way to calculate the the energy states and wavefunctions of hydrogen molecule either anlytically or numerically.
 
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Average Bond Energy for H-H bond is - 436 kJ/mol

hence, the bonding energy state has an energy of

-{436*1000 / 6.02×1023}/1.602×10-19 electron volts/molecule
= - 4.52 eV
which is greater than -13.6

but bonding energy state must have lower than -13.6eV of energy. what's wrong with my concept?
 

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