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42                             PRECIOUS STONES.
VI. Hardness.
All the true gems are essentially hard. A mineral does not fulfil the commonly accepted idea of a gem unless it is hard ; but the degree of hardness varies considerably. An arbitrary scale devised by Mohs is used to express the relative hard­ness of different minerals. Ten different minerals of dissimilar hardness are chosen ; these are (No. 1 being the softest) —
1.  Talc.
2.  Gypsum.
3.  Calcite.
4.  Fluor Spar.
5.  Apatite.
6.   Orthoclase Felspar.
7.   Quartz.
8.   Topaz.
9.   Sapphire. 10. Diamond.
If we were dealing with an uncut gem on which a scratch would not be of great importance we might first apply a sharp corner of it to the test stones, beginning with the softest until we come to one it will not scratch ; if on reversing the positions the test stone does not scratch the stone under examination, we know that the two are of equal hardness ; should it scratch the examined stone we know the latter has a hardness between the test stone that will scratch it and the test stone next in the series below. By approxi­mation we may fix the hardness at, say, 7"25 or 7"5 when the examined stone just scratches Quartz and is easily scratched by Topaz. In the case of cut gems we usually have to be