Mohs scale

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The Mohs scale of mineral hardness (/mz/) is a qualitative ordinal scale, from 1 to 10, characterizing scratch resistance of minerals through the ability of harder material to scratch softer material.

Open wooden box with ten compartments, each containing a numbered mineral specimen.
Mohs hardness kit, containing one specimen of each mineral on the ten-point hardness scale

The scale was introduced in 1812 by the German geologist and mineralogist Friedrich Mohs, in his book "Versuch einer Elementar-Methode zur naturhistorischen Bestimmung und Erkennung der Fossilien";[1][2] it is one of several definitions of hardness in materials science, some of which are more quantitative.[3]

The method of comparing hardness by observing which minerals can scratch others is of great antiquity, having been mentioned by Theophrastus in his treatise On Stones, c. 300 BC, followed by Pliny the Elder in his Naturalis Historia, c. AD 77.[4][5][6] The Mohs scale is useful for identification of minerals in the field, but is not an accurate predictor of how well materials endure in an industrial setting.[7]

Reference minerals

The Mohs scale of mineral hardness is based on the ability of one natural sample of mineral to scratch another mineral visibly. The samples of matter used by Mohs are all different minerals. Minerals are chemically pure solids found in nature. Rocks are made up of one or more minerals. As the hardest known naturally occurring substance when the scale was designed, diamonds are at the top of the scale. The hardness of a material is measured against the scale by finding the hardest material that the given material can scratch, or the softest material that can scratch the given material. For example, if some material is scratched by apatite but not by fluorite, its hardness on the Mohs scale would be between 4 and 5.[8]

"Scratching" a material for the purposes of the Mohs scale means creating non-elastic dislocations visible to the naked eye. Frequently, materials that are lower on the Mohs scale can create microscopic, non-elastic dislocations on materials that have a higher Mohs number. While these microscopic dislocations are permanent and sometimes detrimental to the harder material's structural integrity, they are not considered "scratches" for the determination of a Mohs scale number.[9]

Each of the ten hardness values in the Mohs scale is represented by a reference mineral, most of which are widespread in rocks.

The Mohs scale is an ordinal scale. For example, corundum (9) is twice as hard as topaz (8), but diamond (10) is four times as hard as corundum. The table below shows the comparison with the absolute hardness measured by a sclerometer, with pictorial examples.[10][11]

Mohs hardnessReference mineralChemical formulaAbsolute hardness[12]Image
1TalcMg3Si4O10(OH)21
2GypsumCaSO4·2H2O2
3CalciteCaCO314
4FluoriteCaF221
5ApatiteCa5(PO4)3(OH,Cl,F)48
6Orthoclase feldsparKAlSi3O872
7QuartzSiO2100
8TopazAl2SiO4(OH,F)2200
9CorundumAl2O3400
10DiamondC1500

Examples

Below is a table of more materials by Mohs scale. Some of them have a hardness between two of the Mohs scale reference minerals. Some solid substances which are not minerals have been assigned a hardness on the Mohs scale. However, if the substance is actually a mixture of other substances, hardness can be difficult to determine or may be misleading or meaningless. For example, some sources have assigned a Mohs hardness of 6 or 7 to granite but it is a rock made of several minerals, each with its own Mohs hardness (e.g. topaz-rich granite contains: topaz - hardness 8, quartz - hardness 7, orthoclase feldspar - hardness 6, plagioclase feldspar - hardness 6 to 6.5, mica - hardness 2 to 4).

HardnessSubstance[13]
0.2–0.4Caesium, potassium, rubidium, butter
0.5–0.6Lithium, sodium, graphite, candle wax
1Talc
1.5Tin, lead, ice, todorokite, wakabayashilite, idrialite, dimorphite
2Gypsum, calcium, hardwood, dry ice (solid form of carbon dioxide), glauconite[14]
2–2.5Bismuth, plastic
2.5Gold, silver, magnesium, zinc, pearl, amber, ivory, finger nail,[15] galena, linarite, ulexite, kinoite, cylindrite
2.5–3Copper, aluminium, chalcocite, jet
3Calcite, thorium, dentin, chalk,[16] brass, bronze
3.5Platinum, adamite, strontianite, roselite, ludlamite
3.5-4Sphalerite
4Fluorite, iron, nickel, heazlewoodite
4–4.5Ordinary steel
4.5Conichalcite, duftite, colemanite, lindgrenite
5Apatite, tooth enamel, zirconium, obsidian (volcanic glass)
5-5.5Goethite
5.5Cobalt, beryllium, glass, perovskite, chromite, bavenite, agrellite
5.5-6Opal, turquoise, anatase, arsenopyrite[14]
6Orthoclase feldspar, titanium, uranium, rhodium
6-6.5Rutile, pyrite
6.5Silicon, iridium, baddeleyite, chloritoid, berlinite, cuprospinel
6.5-7Peridot, jadeite
7Quartz (including amethyst and citrine), porcelain, bowieite
7-7.5Garnet, Tourmaline
7.5Tungsten, zircon, euclase, hambergite, grandidierite
7.5-8Beryl (including emerald and aquamarine)
8Topaz, cubic zirconia, spinel, hardened steel[14]
8.5Chromium, silicon nitride, tantalum carbide, chrysoberyl, tongbaite
9Corundum (including ruby and sapphire), tungsten carbide, titanium nitride
9–9.5Moissanite, silicon carbide (carborundum), tantalum carbide, zirconium carbide, beryllium carbide, titanium carbide, aluminium boride, boron carbide.[17][18]
9.5–near 10Boron, boron nitride, rhenium diboride (a-axis),[19] titanium diboride, boron carbide[16]
10Diamond

Use

Despite its lack of precision, the Mohs scale is relevant for field geologists, who use the scale to roughly identify minerals using scratch kits. The Mohs scale hardness of minerals can be commonly found in reference sheets.

Mohs hardness is useful in milling. It allows assessment of which type of mill and grinding medium will best reduce a given product whose hardness is known.[20]

The scale is used by electronic manufacturers for testing the resilience of flat panel display components (such as cover glass for LCDs or encapsulation for OLEDs), as well as to evaluate the hardness of touch screens in consumer electronics.[21]

Comparison with Vickers scale

Comparison between Mohs hardness and Vickers hardness:[22]

Mineral
name
Hardness (Mohs)Hardness (Vickers)
(kg/mm2)
Tin1.5VHN10 = 7–9
Bismuth2–2.5VHN100 = 16–18
Gold2.5VHN10 = 30–34
Silver2.5VHN100 = 61–65
Chalcocite2.5–3VHN100 = 84–87
Copper2.5–3VHN100 = 77–99
Galena2.5VHN100 = 79–104
Sphalerite3.5–4VHN100 = 208–224
Heazlewoodite4VHN100 = 230–254
Goethite5–5.5VHN100 = 667
Chromite5.5VHN100 = 1,278–1,456
Anatase5.5–6VHN100 = 616–698
Rutile6–6.5VHN100 = 894–974
Pyrite6–6.5VHN100 = 1,505–1,520
Bowieite7VHN100 = 858–1,288
Euclase7.5VHN100 = 1,310
Chromium8.5VHN100 = 1,875–2,000

See also

References

Further reading