My colleague Bill Griffith has again come up with another colour challenge: that of the ancient semi-precious stone Lapis Lazuli, mined in the mountains of Afghanistan for more than 6000 years and used by painters in some medieval paintings of the Virgin, the Wilton diptych etc.
The formula is (approximately): (Na,Ca)8(AlSiO4)6(S,SO4,Cl)1-2, which sounds a bit of a challenge! But, as a very recent article points out (DOI: 10.1039/b910469k) the component that imparts the colour is the sulfur, more specifically present in the stone as the S3– radical anion. No recent calculation of the UV/Vis spectrum of this simple triatomic has been reported, so here goes. A ωB97XD/aug-cc-pVQZ calculation, embedded in a continuum solvent field of water (which serves to compactify the otherwise diffuse anionic aspect) and with TD-DFT applied, shows the following (you will need an SVG enabled Web browser to see the spectrum. I am here promoting the use of this graphical standard, which differs from normal images in scaling as you resize the page size with no loss of resolution).
The λmax is ~ 650nm calculated and ~619nm measured (as a solution in an ionic liquid). Not bad agreement! The molecular orbitals involved in the excitation are shown below.
Such a precious colour, and produced using such a cheap material!