[Quantum Chemistry] Generalized wave function in covalent bonding

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SUMMARY

The discussion centers on the quest for a general expression for the wave function $\psi$ that accurately describes the electronic properties of covalent bonds. It concludes that there is no simple analytical expression for such wave functions, with the molecular orbitals of H2+ being the closest approximation, yet still lacking a straightforward formula. The complexity of covalent bonding necessitates advanced quantum chemistry concepts rather than basic trigonometric expressions.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with wave functions and their applications
  • Knowledge of molecular orbital theory
  • Experience with covalent bonding concepts
NEXT STEPS
  • Research the molecular orbitals of H2+ in detail
  • Study advanced quantum chemistry texts focusing on wave functions
  • Explore the implications of covalent bonding in various molecular systems
  • Investigate computational methods for modeling electronic properties
USEFUL FOR

This discussion is beneficial for quantum chemists, theoretical physicists, and advanced chemistry students interested in the complexities of covalent bonding and wave function analysis.

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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