Why does fcc lithium melt with increased pressure?

According to the phase diagram of lithium given [here](https://www.researchgate.net/figure/Proposed-phase-diagram-of-lithium-over-a-wide-pressure-temperature-range-Apart-from-bcc_fig2_253194025), the fcc phase formed at moderately high pressure melts at decreasing temperature upon adding more pressure, an effect better known with the ordinary solid phases of water, silicon, and germanium among a few other materials.


In water, the directionality of the hydrogen bonding between molecules leads to a low-density solid structure, which, in effect, collapses under pressure as the directional bonding breaks down in the liquid. The covalent bonds in silicon and germanium, with their tetrahedrally coordinated diamond-type structure, behave likewise as these elements switch to a metallic structure on melting.


But a low density diamond-type structure seems implausible in fcc lithium since the fcc phase has to be formed under pressure and thus should be denser than the eight-coordinate bcc structure. So what structural feature in fcc lithium enables a water-like, or silicon-like, collapse to a liquid under more pressure?




Some research I have done on this problem suggests that it is the atoms themselves that break apart and collapse. When we account for the distribution of electrons the fcc structure in lithium is not really close-packed and this is collapsible.


**Go outside the lines**


Magnesium silicide ($\ce{Mg2Si}$), commonly used as a strengthening agent in aluminum alloys, is black. Sodium sulfide, fully isoelectronic and isostructural with magnesium silicide, is white (yellowish when polysulfide impurities are present). This color difference arises from the unusual electronic properties of magnesium silicide, which make that compound a narrow-gap semiconductor (thus absorbing visible light as electrons cross this gap) while sodium sulfide is an insulator.


[Panke and Wöfel [1]](https://doi.org/10.1007/978-1-4684-1686-2_1) studied the electron distribution in magnesium silicide, finding (among other things) that in the plane of the magnesium atoms there is a small local maximum in the electron density distribution at the interstitial sites within squares of atoms (see picture below). Magnesium silicide thus has a partial electride character. This electron distribution imparts electron mobility and thus electrical conduction in the cubic magnesium-atom lattice.


![enter image description here](https://i.stack.imgur.com/Zujde.jpg)


**Irresistible force, movable electrons**


[Frost et al. [2]](https://doi.org/10.1063/1.5020296) compute that fcc lithium develops a similar character as it is compressed. The valence electrons are partially transferred to octahedral interstitial sites, leaving behind the small and dense lithium cores. This electron transfer into interstitial sites increases with increasing pressure, although not to the point of forming a complete electride salt in the fcc phase (some other, higher-pressure phases are full electrides). The illustration below from this reference shows this electron transfer and localization in lithium. The variance in electron density between the atoms is similar in magnitude to that in ambient-pressure magnesium silicide, except here the maximum applies over all three dimensions instead of just two.


![enter image description here](https://i.stack.imgur.com/jF2dm.jpg)


Thus in fcc lithium, the interstitial electron density acts as spacers between the lithium cores which become positively charged and mutually repelling. The lithium cores shrink away from the close-packing that would ordinarily be expected in an fcc metal, and thus the structure may be potentially collapsed if enough pressure is applied to force the cores to re-intermingle with the valence electrons.


**References**


1.
Panke D., Wölfel E. (1972) "Distribution of Valence Electrons in Magnesium Silicide." In: Sirota N.N. (eds) *Chemical Bonds in Solids*. Springer, Boston, MA. <https://doi.org/10.1007/978-1-4684-1686-2_1>.


2.
Mungo Frost, Abraham L. Levitan, Peihao Sun, and Siegfried Glenzer. "Equation of state and electron localisation in fcc lithium".
*Journal of Applied Physics* **123**, 065901 (2018); <https://doi.org/10.1063/1.5020296>.


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