Hi jamesXIII,
for what it is worth, Machinerys Handbook 25th Ed. p.190 Table 2 "Coefficients of Static Friction for Various Material Combinations" shows sapphire on sapphire = 0.2 for dry and 0.2 for lubricated. Sapphire is hard so this meets your criteria. However, I think you will need to establish an allowance band or additional critera to arrive at anything meaningful.