Normalization coefficient of sp2 hybrid orbital

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SUMMARY

The discussion focuses on obtaining the coefficients of normalized wavefunctions for sp2 hybrid orbitals, specifically in the context of boron trihydride (BH3). The method involves vectorially resolving p orbitals in a trigonal direction, proposing a linear combination with the s orbital, and applying normalization and orthogonality rules to derive the equations needed to solve for the coefficients. The participant successfully confirmed their method and sought validation or potential shortcuts for the process.

PREREQUISITES
  • Understanding of sp2 hybridization in molecular orbital theory
  • Familiarity with wavefunction normalization techniques
  • Knowledge of linear combinations of atomic orbitals (LCAO)
  • Basic principles of orbital orthogonality
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  • Investigate computational methods for solving hybridization problems
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gerrardz
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How to obtain the coefficients of normalized wavefunction for the hybrid orbital in sp2 hybridization (esp in BH3) , which normally in surds? In what way symmetry affect the linear combination of the atomic orbitals ? Will appreciate if anyone could help or provide some beginning guides , thanks a lot
 
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thanks God, i managed to answer myself : first by vectorially resolving the p orbitals in trigonal direction, then propose linear combination to s orbital, then apply normalization rule to the wave functions to generate 1st equation , then apply orthogonality of different orbitals to obtain 2nd equation. Eventually simultaneously solve all the coefficients at once.
Can anyone confirm my method ? Or offer some shortcut , thanks.
 

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