Mohs Scale of Hardness

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Hardness is a measure of the ability of a material to resist wear and tear, i.e. abrasion. The hardness of a mineral largely determines its durability and is related also to the strength and toughness of solid substances. It is important not to confuse hardness of a material with strength. Many hard materials (e.g. diamond, see below) are brittle and will break easily if they are struck. However, in common usage the term 'hardness' is often extended to include strength and toughness.

Strength of Materials

Full discussion of strength of materials is beyond the scope of this entry. Suffice it to say that there are different types of strength:
StrengthDefinition
tensile when it is stretched
compressivewhen it is squashed
torsionalwhen it is twisted
shearwhen it is cut
bendingwhen it is bent


Hence, in simple terms, the strength of a material is a measure of its resistance to various forms of deformation.

Hardness

The relative hardness of minerals is determined according to Mohs' Scale, named after the German mineralogist, Friedrich Mohs who devised it in 1812. In the original Mohs Scale, 10 minerals were arranged in order of increasing hardness and were assigned the numbers 1 to 10. These 10 minerals are shown in Column 1 below:

Mohs
Substance
Mohs
Number
Common
Substance
Simple
Classification
Talc1
Gypsum2
2.5Finger NailSOFT
Calcite3
Fluorite4'Copper coin' 1
Apatite5
5.5Knife blade or glassMEDIUM
Orthoclase
(feldspar)
6
6.5Steel fileHARD
Quartz7
Topaz8
Corundum
(emery)
9
Diamond10

A substance with higher Mohs number is capable of scratching a substance with a lower number.
The order of these minerals can be remembered using the mnemonic, The Girls Can Flirt And Other Queer Things Can Do .

Mohs selected these ten minerals either because they were common or readily available. The scale is not a linear one, but is somewhat arbitrary. This means that fluorite, for example, at 4 is not twice as hard as gypsum at 2; nor is the difference between calcite and fluorite similar to the difference between corundum and diamond.

Hardness is used in a rough way to inform mineral identification in the field. When one encounters real minerals out in the field, they can look remarkably alike. This may be due to weathering, or variations in their chemical structure from the ideal, or clathrate inclusions that simply change the colour of the mineral so it doesn't look at all as expected. Sometimes faulting and metamorphism can induce facets and planes in a mineral that aren't at all natural to it so it really looks like something else.

Common tests you can do in the field, if you don't have a material on the list, involve the convenient standards of hardness shown in column 3. Using this system, minerals may simply be classified as 'soft' (can be scratched with a fingernail), 'medium' (can be scratched with a knife or glass but not by a fingernail) or 'hard' (cannot be scratched by a knife).This simple classification is appropriate to use up to lower secondary school level.Diamond is the hardest natural substance known and therefore scratches all common materials. Because of this it is widely used in industry for drilling, cutting, grinding and polishing. Diamond is an allotrope of carbon and it is interesting to note that another allotrope of carbon, graphite, is one of the world's softest minerals. This is why graphite is used in pencil 'leads'.Mohs scale is still used today although it has been extended, putting diamond at 15, to accommodate newly developed materials of extreme hardness which lie between 10 and 15.

The Extended Mohs Scale

Mohs SubstanceHardness
Liquid1
Substance as indicated
in the standard scale
2-6
Vitreous pure silica7
Quartz8
Topaz9
Garnet10
Fused zirconia11
Fused alumina12
Silicon carbide13
Boron carbide14
Diamond15

Industrial Measurement of Hardness

In metallurgy and engineering there are much more accurate and precise ways of measuring hardness. One way involves measuring the size of the dent made in the material under a particular pressure, applied from a pyramid-shaped diamond. For all but the hardest materials, a steel ball may be used instead of the diamond. The smaller the dent is, the harder the test material. Hard metals are indented less than soft metals. This test to determine the hardness of metal surfaces is known as the Brinell test, named after the Swedish engineer Johann Brinell. The instrument used to conduct this test is called a sclerometer, and this enables us to create an 'absolute hardness scale'.

An absolute hardness scale looks a little different to the relative scale. It turns out that adjacent minerals are relatively close in hardness; but as hardness increases, the difference in hardness increases greatly, as is seen in the scale below:

An absolute hardness scale

SubstanceRelative Absolute Hardness
Talc1
Gypsum3
Calcite9
Fluorite21
Apatite48
Orthoclase72
Quartz100
Topaz200
Corundum400
Diamond1600

This scale shows, for example, that diamond is four times harder than the penultimate mineral, corundum which itself is twice as hard as topaz.

Other Hardness Tests

Besides the Brinell Test, which employs a hardened steel or carbide ball indenter, there are two other hardness tests in common use, these being the Rockwell Test (involving a diamond cone indenter or a hardened steel ball) and the Vickers Test (diamond indenter in the form of a right pyramid). Discussion of these is beyond the scope of this article, but may be found on the following link (Tests of Hardness).

Materials of Extreme Hardness

There is much interest in the development of super-hard materials - substances which are harder than diamond - for which there are many applications. Super-hard materials could be used to cut steel, which diamond cannot do because it burns when it gets hot. Although it is possible to coat metals with a thin layer of diamond, it seems to be somewhat easier with synthetic materials such as beta-carbon nitride. Mechanical components such as gears and bearings coated with beta-carbon nitride would last much longer than normal parts, and could be used in devices where liquid lubricants are unsuitable. A thin layer of the beta-carbon nitride could also be used to protect the surface of computer discs.
Another celebrated material is Borazon, a synthetic compound of boron and nitrogen, was discovered by Dr R Wentorf in 1956. Depending on the source of information this is either harder than diamond or is equal hardness to diamond because each will scratch the other.
1 n.b. This may not now be accurate as the composition of UK 'copper'coins was changed from bronze to copper-coated steel in 1992. Hence the hardness may well be different.

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