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

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To calculate the energy of the bonding and antibonding states of a hydrogen molecule, one must consider the average bond energy for the H-H bond, which is -436 kJ/mol. The calculated bonding energy state of -4.52 eV appears incorrect, as it should be lower than -13.6 eV, indicating a misunderstanding in the approach. Resources or books that detail the analytical or numerical methods for determining the energy states and wavefunctions of hydrogen molecules are sought. The discussion highlights the need for clarity in energy calculations related to molecular bonding states. Understanding the correct energy values is crucial for accurate molecular modeling.
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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