I optimized the geometry of a carbene metal amide having gold as the bridge between carbene and amide ligand using DFT in Gaussian 16. I used APFD functional with mixed basis set (SVP for C N H O and SDD for Au). The attached picture is the diagram from the LOG file. The diagram shows a double bond between two C atoms in benzene fragment. Is it okay?
Unless you have performed any advanced analysis like an AIM calculation which you didn't mention, DFT does not "know" the concept of a bond order. That means the single and double bonds are normally assigned by some sort of algorithm in your drawing software which has two criteria, (a) setting the usually expected valences for atoms (so, 4 for carbon) and assigning bond existence and bond order purely by interatomic distances.
This may have something to do with reality, but doesn't mean you actually "calculated" a double bond anywhere.
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