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An orbital is a one-electron wavefunction, usually derived by solving the Schrodinger equation. This tag applies to questions about all forms of orbitals; additionally, questions about the construction and properties of molecular orbitals should be tagged with [molecular-orbital-theory].

4 votes

Do electrons hybridize only during bonding?

Orbitals are mathematical constructs based on the probability density of the wavefunctions. Technically, orbitals do not hybridize because orbitals do not exist. … Hybridized orbitals represent a model that simplifies some of the mathematics by replacing the canonical hydrogenic atomic orbitals with hybridized atomic orbitals that are oriented in directions that …
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6 votes

What is meant by "no d-orbital"?

As Nicolau hints in his answer, orbitals are not regions of space around an atomic nucleus. … Thus those orbitals do not exist. …
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28 votes

What are the magnetic quantum numbers for the three real p orbitals?

Thus, it is not possible to directly correlate the values of $m_l=\pm1$ with specific orbitals. … An equivalent statement is that these two orbitals do not lie on the $x$- and $y$-axes, but rather bisect them. …
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Energy levels database

There will be a list of orbital energies for the set of molecular orbitals computed from the valence atomic orbitals. For example, for benzaldhyde. … "homo": -10.168, "lumo": -0.712, "orbitals": [ "-31.27648", "-30.67710", "-26.81219", "-26.23865", "-23.01445", "-21.46816", "-20.14594", "-18.05465", "-16.39792", "-15.70143", "-14.95762", …
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sp² hybridized orbital

Nitrogen, in its valence shell, has four orbitals: $2s,2p_x,2p_y,2p_z$. The $sp^2$ hybridization is achieved by mixing two $p$ orbitals and one $s$ orbital. … $$[s,p,p],p\implies[sp^2,sp^,sp^2],p$$ We cannot have two $p$ orbitals at an $sp^2$ hybridized atom because then we would have 5 orbitals (or we would not have $sp^2$). …
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What is the derivation of the formula for finding number of pure and hybrid orbital?

If you took benzene $\ce{C6H6}$ and counted all of the hybrid orbitals, you would count 18. Each carbon atom is $sp^2$-hybridized, so each has three hybrid orbitals. … Each carbon atom has four orbitals (either hybridized or non-hybridized). If there are no $\pi$-bonds, then the number of hybrid orbitals is four times the number of carbon atoms. …
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12 votes

Hierarchy of electronic wavefunctions

However, the final word in the discussion came from this letter, which reminds us what orbitals are. Orbitals are not real. The electrons that populate orbitals are real. … These methods give rise to both the canonical delocalized molecules orbitals (CMOs), and the localized valence bond orbitals (VBOs). …
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12 votes

Where does the 9th electron go in a N=O bond?

A molecular orbital diagram describes the bonding in terms of constructive and destructive overlap of atomic orbitals. … A MO diagram dispenses with the need for resonance - all electrons are clearly shown in their orbitals: $\sigma$ or $\pi$, bonding or anti-bonding. …
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