How to determnine quantum numbers of hybridized orbitals?For

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SUMMARY

The discussion centers on determining the quantum numbers of hybridized orbitals, specifically sp3 orbitals. It is established that sp3 hybrid orbitals are formed by mixing |s>, |px>, |py>, and |pz> orbitals, resulting in a configuration that does not correspond to traditional quantum numbers ℓ and m. Instead, while atomic orbitals have four quantum numbers, molecular orbitals have different characteristics that do not directly align with those of hybridized states.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with atomic orbitals and their quantum numbers
  • Knowledge of hybridization concepts in chemistry
  • Basic grasp of molecular orbital theory
NEXT STEPS
  • Study the principles of hybridization in greater detail
  • Learn about the differences between atomic and molecular orbitals
  • Explore the quantum numbers associated with molecular orbitals
  • Investigate the implications of non-eigenstates in quantum mechanics
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Chemistry students, educators, and researchers interested in quantum mechanics and molecular chemistry will benefit from this discussion.

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How to determnine quantum numbers of hybridized orbitals?
For example:We have sp3 orbital,so its quantum numbers are n=1,l=0 and 1,m=0 and -1,0,1?Or how?Or they are in some way added up together?
Thanks
 
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The sp3 hybrid orbitals are formed by taking mixtures of |s>, |px>, |py> and |pz>, right? So they are not eigenstates of ℓ and m, and you can't use these quantum numbers to label them.
 


But I think it generally.What kind of quantum numbers have molecular orbital?Atomic orbital has 4 quantum numbers and molecular has...?
 

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