[Quantum Chemistry] Generalized wave function in covalent bonding

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The discussion centers on the challenge of finding a general expression for the wave function $\psi$ that accurately describes the electronic properties of arbitrary covalent bonds. It is concluded that no simple trigonometric or analytical expression exists for this purpose. The closest approximation mentioned is the molecular orbitals of H2+, which still lack a straightforward analytical form. The complexity of covalent bonding and the limitations of current models highlight the difficulties in representing these electronic properties with a universal equation.
Mayhem
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Is there a general expression for the wave function $\psi$, which describes the electronic properties of an arbitrary covalent bond? For example is it equal to some sort of trigonometric expression?
 
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No. I guess the closest you could get are the molecular orbitals of H2+, but even they don't have a simple analytical expression.
 

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