Ok, air seems to have a density of 1.275 mg/cc at sea level and 15ºC, while the material has a density of 0.9 mg/cc.
Can someone double check this?
I wonder if this is simply chemistry confusion...
If the sea level calculations are being used, then this makes sense. Atmospheric pressure (and thus density of a gas) is higher at sea level, air at sea level contains quantities of water vapour in the molecular mix, and water has a density of 1 kg/L, meaning that air at sea level is denser than air elsewhere.
The very lightest substances in the world until now, aerogels, have the ethereal nickname "frozen smoke.” They can reach densities of 1 milligram per cubic centimeter, making them less dense than air at room temperature and sea level.
I can see a metal lattice structure being lighter than air at sea level, provided the volume that the metal occupies has a total mass less than the air molecular mixture it is replacing in the total volume of the substance.
By way of a completely unlikely example (in real world terms of what may be used in this substance), a Li2O molecule has less mass than a corresponding molecule of various nitrogen-oxygen gas molecules present in air.