Hybridised Orbitals: Understand Probability & Quantum Physics

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SUMMARY

The discussion centers on hybridized orbitals in quantum physics, specifically their role in predicting electron distribution in multi-electron atoms. Hybridized orbitals are defined as linear combinations of atomic orbitals, resulting in different shapes compared to original orbitals. This difference is attributed to the superposition of non-hybridized orbitals and the interference effects that arise. The consensus is that hybridization should be viewed as a mathematical tool rather than a physical reality, aiding in the understanding of chemical bonding and molecular geometry.

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  • Understanding of atomic orbitals and their shapes
  • Familiarity with quantum physics concepts, particularly uncertainty principle
  • Basic knowledge of linear algebra for understanding linear combinations
  • Awareness of chemical bonding theories and molecular geometry
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  • Study the uncertainty principle in quantum mechanics
  • Explore the mathematical foundations of linear combinations of atomic orbitals
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Students and professionals in chemistry and physics, particularly those interested in quantum mechanics, chemical bonding, and molecular structure analysis.

Harmony
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From high school chemistry I learned that orbital is the region where probability of finding an electron is high. (Probability, since electron has no well defined location.) Different types of orbitals have different shape of region.
I also learned that different orbitals of the same shell may undergo hybridisation, becoming hybridised orbitals which have different shape of region.
Why does the region of the hybridised orbitals different from the original orbitals? Is it related to Uncertainity in Quantum Physics?
 
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Hybridized orbitals are simply linear combinations of atomic orbitals. One can see it simply as a mathematical procedure where the overall distribution obtained before hybridization is the same as after hybridization, only split up differently.

One could also consider it as the electron in an hybridized orbital as being in a superposition of non-hybridized orbitals and the difference in shape is due to the interference between the superposed orbitals.

Overall, I think one should not put too much physical reality behind hybridization and treat it more like a useful tool to help predicting the electron distribution in multi-electron atoms, which is useful to understand chemical bonding and the geometry of molecules.
 

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