The index

What is refuted here

The wrong explanations this site takes apart, sorted by what kind of wrong each one is, and with the computation that settles it beside each.

Molecular structure is taught worse than almost anything else at this level. A reader arriving here has usually been told that electrons occupy orbitals, that sulfur hexafluoride borrows its d orbitals, that benzene resonates between two structures, and that spreading electrons out always lowers their energy. Being misinformed is a harder starting position than being ignorant, because each of those has to come apart before anything can be built on top of it.

So the wrong explanations are treated as content rather than as omissions. Each one below is stated in the form it is usually taught, given a verdict, and settled by something computed in the essay that tests it — not by an appeal to a better textbook.

The four verdicts are not interchangeable. Most of these claims are not simply false. The common cases are a rule carried outside the ground it was derived on, an account that stops just short of the quantity that decides, and a statement about a description that reads like a statement about a molecule — the last of which no measurement can settle, which is what makes it the most stubborn.

The sharpest of them

A forbidden overlap is not small. It is zero, and the difference is the whole argument.

1s with 2px at 2.8 bohr. The two orbitals in the plane containing both nuclei, with the regions where their product is positive and negative shown faintly. The overlap integral is the signed volume of that product, and where symmetry makes the two regions mirror images it comes out exactly zero. Contours drawn: 1s at 50% of its density, |ψ| = 1.48e-1; 2px at 50% of its density, |ψ| = 3.16e-2.
Fig. 1 A 1s orbital against a 2p orbital perpendicular to the line between the nuclei. Every region where the product is positive has a mirror image where it is negative, so the integral cancels in pairs and the computed value is arithmetic noise at 10⁻¹⁷. Calling such an interaction “weak” gets the consequence right and the reason wrong, and the reason is what generalises.

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