  The Posner molecule, $\text{Ca}_9(\text{PO}_4)_6$, has long been recognized
to have biochemical relevance in various physiological processes. It has found
recent attention for its possible role as a biological quantum information
processor, whereby the molecule purportedly maintains long-lived nuclear spin
coherences among its ${^{31}\text{P}}$ nuclei (presumed to be symmetrically
arranged), allowing it to function as a room temperature qubit. The structure
of the molecule has been of much dispute in the literature, although the
$\text{S}_6$ point group symmetry has often been assumed and exploited in
calculations. Using a variety of simulation techniques (including ab initio
molecular dynamics and structural relaxation), rigorous data analysis tools and
by exploring thousands of individual configurations, we establish that the
molecule predominantly assumes low symmetry structures ($\text{C}_\text{s}$ and
$\text{C}_\text{i}$) at room temperature, as opposed to the higher symmetry
configurations explored previously. Our findings have important implications on
the viability of this molecule as a qubit.
