This post adds a concrete example to the discussion in the previous post about the form of QM in the physics of atoms and chemistry of molecules.
Chemistry concerns molecules as combinations of atoms with lower energy than separate atoms. The first molecule to be studied after the Schrödinger Equation SE for the Hydrogen atom H with one electron around a proton kernel formulated in 1926 by Schrödinger, was the molecule H2 formed by two H atoms finding a total energy minimum of -1.17 at a kernel distance of 1.4 (atomic units) compared with -1 when separated in an analysis by Heitler and London 1927.
The basic element of the analysis was accumulation of electron charge density between the kernels allowing decrease of potential energy by proximity of both electrons to both kernels. The analysis was complicated by the fact that the SE for the molecule of 2 H atoms has 6 spatial dimensions. Ingenious dimensional reduction was required to give the observe result.
An H atom has one shell with one valence electron taking part in the formation of H2 and the essence of molecule formation is accumulation of electron charge density between the kernels.
We now compare with a Gold atom Au which has 79 electrons distributed over 6 shells according to the pattern 2+8+18+32+18+1 with again one valence electron in the outermost shell. We know that Au does not easily react to form molecules and so we are faced with the problem to explain in particular why Au2 is not formed?
Standard non-relativistic Quantum Mechanics StdQM has no answer and so an explanation has been sought as a relativistic effect from very high speed electrons in the 1st shell with increase of mass contracting the valence electron, which does not make much sense.
RealQM is an alternative to StdQM which gives an answer without relativity, which is displayed in this post and this post with details in the book on RealQM. The essential difference between H and Au is the geometry of the valence electron, which fills a sphere for H allowing electron accumulation between kernels in H2, which is prevented in the outermost shell for Au.
In StdQM for molecules all electrons have presence (support) over the entire molecule which gives a very complex unphysical picture difficult to conceptualise.
In RealQM electrons have non-overlapping supports with direct physical meaning which can be visualised and conceptualised.

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