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I am aware of the fact that d-block elements like zinc, cadmium and mercury have lower melting points than other d-block elements. Also I am aware that these three metals have a fully filled d shell.

How does the fully-filled d orbital help in explaining the reduced melting point? What effect explains mercury being a liquid and zinc and cadmium being solids at room temperatures?

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Mercury is a rather special case, which cannot be compared to Zn and Cd. Mercury (Z = $80$) belongs to the heaviest elements of the periodic table. Pekka Pyykkö's calculations have shown that nuclei having more than $70$ or $75$ protons are surrounded by electrons whose orbital velocity is not far from the velocity of light, in the Bohr's model. Of course the Bohr model is wrong, but similar calculations have been done without Bohr's model, which show that outer electrons have a relativistic behavior in the heaviest atoms. When a particle velocity is not far from the velocity of light, its dimensions become smaller. So when electrons become relativistic, they become smaller and tend to stay nearer the nucleus. Seen from outside, relativistic electrons "disappear" inside the "outer shell" of non-relativistic electrons. This effect is dependent on the total of the quantum numbers n+l.

Mercury atoms have the electronic configuration $\ce{(Xe) 4f^{14} 5d^{10} 6s^1}$. The corresponding n+l values are rather high: $4+3=7, 5+2=7, 6+0=6$. So these electrons are "absorbed" under and inside the corresponding xenon orbitals. For approaching atoms, mercury looks like a sort of "heavy xenon". And xenon is a gas with a boiling point at $161$ K. This is why mercury is "nearly" a gas: it is a liquid with a relatively low boiling point, compared to other metals.

Ref. Pekka Pyykkö, Jean-Paul Desclaux, Relativity and the Periodic System of Elements, Accounts of Chemical Research, Vol. 12, No. 8, August 1979, 276 - 281.

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  • $\begingroup$ Why does fully filled d explain reduced boiling point? $\endgroup$
    – Shashaank
    Commented Nov 13, 2023 at 16:58
  • $\begingroup$ Fully filled $d$ orbitals have nothing to do with boiling point $\endgroup$
    – Maurice
    Commented Nov 13, 2023 at 19:25
  • $\begingroup$ I am sorry, melting point! $\endgroup$
    – Shashaank
    Commented Nov 14, 2023 at 8:11

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