Saturday 25 June 2016

elements - Melting and boiling point trend in Group II


The following picture shows the melting and boiling point trends down group II elements.


Melting and boiling points of group II elements, done with Excel 2016


I have added question marks where the variability in data was rather disturbing (over two hundred degrees Celsius), or where the value is simply disputed. Nevertheless, this topic is not about the different results from measurements. Instead, it focuses on the "trend" in general.


For group I, we would say




  • the number of electron shells increases,

  • the increasing number of protons is unable to compensate for this fact,

  • therefore, atomic radius increases and

  • electronegativity, ionisation energies decrease,

  • hence the metallic bond is weaker $\Rightarrow$ melting and boiling points decrease

  • atomisation energy decreases.


Here are the atomic radii and ionisation energies of group II elements.


The atomic radii and ionisation energies of group II elements, done with Excel 2016



These (apart from radium) do seem to follow the same logic as in group I, however they do not correlate with the melting or boiling points. Some textbooks claim,



A good measure for the strength of a metallic bond is its atomisation energy.



Let us have a look.


Atomisation energies of group II elements, done with Excel 2016


Sure, this does agree better with the boiling and melting points. But note that it is actually not an explanation! Why do the atomisation energies behave in such a way?


This is where most resources either



  1. ignore the problem altogether by not mentioning it,


  2. give an explanation which is claimed by others to be faulty,

  3. few acknowledge the issue and say no simple explanation is possible.


The faulty explanation


Beryllium and magnesium have crystal lattices that are hexagonal closest-packed (close-packed?). Therefore, they have their own trend. Then there are calcium and strontium which have face-centered cubic lattices. Finally, the pair barium and radium have body-centered cubic structures.


Others say this is not enough, because the differences should not be as significant, especially for magnesium but also for barium. Barium has a 8-coordinated structure but has a higher boiling point than 12-coordinated strontium!


It might also be stated that melting points themselves are not the best estimator of the strength of bonds. The bonds are not all broken, but rather rearranged and "made weaker" as a result.


The question


As of now, is there an explanation for melting and boiling point trends of group II elements? Is there consensus?




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