Normalization coefficient of sp2 hybrid orbital

AI Thread Summary
The discussion focuses on obtaining the coefficients of the normalized wavefunction for hybrid orbitals in sp2 hybridization, particularly in boron trihydride (BH3). The process involves vectorially resolving the p orbitals in a trigonal direction, proposing a linear combination with the s orbital, and applying normalization rules to generate the first equation. The orthogonality of different orbitals is then used to derive a second equation, allowing for the simultaneous solution of all coefficients. The original poster seeks confirmation of this method and any potential shortcuts for the process.
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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