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Mohs scale
Qualitative ordinal scale from 1 to 10, characterizing scratch resistance of various minerals

The Mohs scale is a qualitative ordinal scale from 1 to 10 that measures the scratch resistance of minerals, based on the ability of harder materials to scratch softer ones. Introduced in 1812 by the German geologist and mineralogist Friedrich Mohs, it appears in his book on fossil identification. The concept dates back to ancient times, noted by Theophrastus and Pliny the Elder. While useful for field mineral identification, the Mohs scale is not precise for predicting material durability in industrial use, differing from more quantitative hardness measures in materials science.

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Reference minerals

The Mohs scale of mineral hardness is based on the ability of one natural sample of mineral to visibly scratch another mineral. Minerals are chemically pure solids found in nature. Rocks are mixtures of one or more minerals.

Mohs scale along the horizontal axis matched with one of the absolute hardness scales along the vertical. Diamond (Mohs 10) is 1500 (off scale).

Diamond was the hardest known naturally occurring mineral when the scale was designed, and defines the top of the scale, arbitrarily set at 10. 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 5.9

Technically, "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.10

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 images of the reference minerals in the rightmost column.1112

MohshardnessReferencemineralChemical formulaAbsolutehardness13Example image
1TalcMg3Si4O10(OH)21
2GypsumCaSO4·2H2O2
3CalciteCaCO314
4FluoriteCaF221
5ApatiteCa5(PO4)3(OH,Cl,F)48
6OrthoclasefeldsparKAlSi3O872
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 that are not minerals have been assigned a hardness on the Mohs scale. Hardness may be difficult to determine, or may be misleading or meaningless, if a material is a mixture of two or more substances; 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 — Mohs 8, quartz — Mohs 7, orthoclase — Mohs 6, plagioclase — Mohs 6–6.5, mica — Mohs 2–4).

HardnessSubstance
0.2–0.4Potassium14
0.5–0.6Lithium15
1Talc
1.5Lead16
2Hardwood17
2–2.5Plastic
2.5Zinc18
2.5–3Copper19
3Brass
3.5Adamite
3.5-4Sphalerite
4Iron20
4–4.5Ordinary steel
4.5Colemanite
5Apatite
5-5.5Goethite
5.5Glass
5.5–6Opal
6Rhodium21
6-6.5Rutile
6.5Silicon22
6.5–7Jadeite
7Porcelain
7-7.5Garnet
7.5Tungsten23
7.5–8Emerald
8Topaz
8.5Chromium24
9Sapphire
9–9.5Moissanite
9.5–near 10Boron25
10Diamond

Use

Despite its lack of precision, the Mohs scale is relevant for field geologists, who use it 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 the assessment of which type of mill and grinding medium will best reduce a given product whose hardness is known.26

Electronic manufacturers use the scale 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.27

Comparison with Vickers scale

Comparison between Mohs hardness and Vickers hardness:28

MineralnameHardness (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

Footnotes

See also

Further reading

References

  1. von Groth, Paul Heinrich (1926). Entwicklungsgeschichte der Mineralogischen Wissenschaften [History of the development of the mineralogical sciences] (in German). Berlin: Springer. p. 250. ISBN 9783662409107. 9783662409107

  2. "Mohs hardness". Encyclopædia Britannica (online ed.). https://www.britannica.com/EBchecked/topic/387714/Mohs-hardness

  3. In demselben Jahre (1812) wurde MOHS als Professor am Joanneum angestellt und veröffentliche den ersten Teil seines Werkes Versuch einer Elementarmethode zur naturhistorischen Bestimmung und Erkennung der Fossilien, in welcher die bekannte Härteskala aufgestellt wurde. — von Groth (1926)   In the same year (1812) MOHS was employed as a professor at the Joanneum and published the first part of his work Attempt at an elementary method for the natural-historical determination and recognition of fossils, in which the well-known hardness scale was set up.[1] - von Groth, Paul Heinrich (1926). Entwicklungsgeschichte der Mineralogischen Wissenschaften [History of the development of the mineralogical sciences] (in German). Berlin: Springer. p. 250. ISBN 9783662409107. https://books.google.com/books?id=tD0LAQAAIAAJ&q=+Härteskala+1812

  4. "Mohs scale of hardness". Mineralogical Society of America. Retrieved 10 February 2021. http://www.minsocam.org/MSA/collectors_corner/article/mohs.htm

  5. Theophrastus. Theophrastus on Stones. Retrieved 10 December 2011 – via Farlang.com. /wiki/Theophrastus

  6. Pliny the Elder. "Book 37, Chap. 15". Naturalis Historia. Adamas: Six varieties of it. Two remedies. /wiki/Pliny_the_Elder

  7. Pliny the Elder. "Book 37, Chap. 76". Naturalis Historia. The methods of testing precious stones. /wiki/Pliny_the_Elder

  8. "Hardness". Materials Mechanical Hardness. Non-Destructive Testing Resource Center. Archived from the original on 14 February 2014. https://web.archive.org/web/20140214185403/http://www.ndt-ed.org/EducationResources/CommunityCollege/Materials/Mechanical/Hardness.htm

  9. "Mohs scale of mineral hardness". American Federation of Mineralogical Societies – via amfed.org. https://www.amfed.org/mohs-scale

  10. Geels, Kay (26 April 2000). "The true microstructure of materials". Materialographic Preparation from Sorby to the Present (PDF). Application notes and guides (Report). The Struers metallographic library. Copenhagen, DK: Struers A/S. pp. 5–13. Archived from the original (PDF) on 7 March 2016. https://web.archive.org/web/20160307194802/http://www.struers.com/resources/elements/12/2474/35art2.pdf

  11. "What is important about hardness?". Amethyst galleries. Mineral gallery. Archived from the original on 30 December 2006 – via galleries.com. https://web.archive.org/web/20061230174242/http://www.galleries.com/minerals/hardness.htm

  12. "Mineral hardness and hardness scales". Inland Lapidary. Archived from the original on 17 October 2008 – via inlandlapidary.com. http://www.inlandlapidary.com/user_area/hardness.asp

  13. Mukherjee, Swapna (2012). Applied Mineralogy: Applications in industry and environment. Springer Science & Business Media. p. 373. ISBN 978-94-007-1162-4 – via Google books. 978-94-007-1162-4

  14. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  15. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  16. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  17. "Mohs Hardness Scale: Testing the Resistance to Being Scratched". geology.com. Retrieved 9 August 2021. https://geology.com/minerals/mohs-hardness-scale.shtml

  18. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  19. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  20. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  21. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  22. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  23. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  24. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  25. Samsonov, G.V., ed. (1968). "Mechanical properties of the elements". Handbook of the Physicochemical Properties of the Elements. New York, NY: IFI-Plenum. p. 432. doi:10.1007/978-1-4684-6066-7. ISBN 978-1-4684-6068-1. 978-1-4684-6068-1

  26. "Size reduction, comminution". Grinding and milling. PowderProcess.net. Retrieved 27 October 2017. http://www.powderprocess.net/Grinding_Milling.html

  27. Purdy, Kevin (16 May 2014). "Hardness is not toughness: Why your phone's screen may not scratch, but will shatter". Computerworld. IDG Communications Inc. Retrieved 16 April 2021. https://www.computerworld.com/article/2833434/hardness-is-not-toughness--why-your-phone-s-screen-may-not-scratch--but-will-shatter.html

  28. Ralph, Jolyon. "Welcome to mindat.org". mindat.org. Hudson Institute of Mineralogy. Retrieved 16 April 2017. https://www.mindat.org/