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The fineness of a precious metal object (coin, bar, jewelry, etc.) represents the weight of fine metal therein, in proportion to the total weight which includes alloying base metals and any impurities. Alloy metals are added to increase hardness and durability of coins and jewelry, alter colors, decrease the cost per weight, or avoid the cost of high-purity refinement. For example, copper is added to the precious metal silver to make a more durable alloy for use in coins, housewares and jewelry. Coin silver, which was used for making silver coins in the past, contains 90% silver and 10% copper, by mass. Sterling silver contains 92.5% silver and 7.5% of other metals, usually copper, by mass.

Various ways of expressing fineness have been used and two remain in common use: millesimal fineness expressed in units of parts per 1,000[1] and karats used only for gold. Karats measure the parts per 24, so that 18 karat = ​1824 = 75% and 24 karat gold is considered 100% gold.[2]

1 troy ounce of four nines fine gold (999.9)
• 999.999—six nines fine: the purest gold ever produced. Refined by the Perth Mint in 1957.

It is an extension of the older karat system of denoting the purity of gold by fractions of 24, such as "18 karat" for an alloy with 75% (18 parts per 24) pure gold by mass.

The millesimal fineness is usually rounded to a three figure number, particularly where used as a hallmark, and the fineness may vary slightly from the traditional versions of purity.

Here are the most common millesimal finenesses used for precious metals and the most common terms associated with them.

The karat (US spelling, symbol K or kt) or carat (UK spelling, symbol C or ct)[11][12] is a fractional measure of purity for gold alloys, in parts fine per 24 parts whole. The karat system is a standard adopted by US federal law.[13]

### Measure

K is the karat rating of the material,
Mg is the mass of pure gold in the alloy, and
Mm is the total mass of the material.

24-karat gold is pure (while 100% purity is unattainable, this designation is permitted in commerce for 99.95% purity), 18-karat gold is 18 parts gold, 6 parts another metal (forming an alloy with 75% gold), 12-karat gold is 12 parts gold (12 parts another metal), and so forth.[14]

In England, the carat was divisible into four grains, and the grain was divisible into four quarts. For example, a gold alloy of ​127128 fineness (that is, 99.2% purity) could have been described as being 23-karat, 3-grain, 1-quart gold.

The karat fractional system is increasingly being complemented or superseded by the millesimal system, described above.

Conversion between percentage of pure gold and karats:

• 58.33–62.50% = 14K (acclaimed 58.33%)
• 75.00–79.16% = 18K (acclaimed 75.00%)
• 91.66–95.83% = 22K (acclaimed 91.66%)
• 95.83–99.95% = 23K (acclaimed 95.83%)
• 99.95–100% = 24K (acclaimed 99.95%)

### Volume

However, this system of calculation gives only the mass of pure gold contained in an alloy. The term 18-karat gold means that the alloy's mass consists of 75% of gold and 25% of alloy(s). The quantity of gold by volume in a less-than-24-karat gold alloy differs according to the alloy(s) used. For example, knowing that standard 18-karat yellow gold consists of 75% gold, 12.5% silver and the remaining 12.5% of copper (all by mass), the volume of pure gold in this alloy will be 60% since gold is much denser than the other metals used: 19.32 g/cm3 for gold, 10.49 g/cm3 for silver and 8.96 g/cm3 for copper.

This formula gives the amount of gold in cubic centimeters or in milliliters in an alloy:

${\displaystyle V_{\text{Au}}={\frac {M_{\text{a}}\times {\frac {kt}{24}}}{19.32}}}$

where

VAu is the volume of gold in cubic centimeters or in milliliters,
Ma is the total mass of the alloy in grams, and
kt is the karat purity of the alloy.

To have the percentage of the volume of gold in an alloy, divide the volume of gold in cubic centimetres or in millilitres by the total volume of the alloy in cubic centimetres or in millilitres.

For 10-carat gold, the gold volume in the alloy represents about 26% of the total volume for standard yellow gold. Talking about purity according to mass could lead to some misunderstandings; for many people, purity means volume.

### Etymology

Karat is a variant of carat. First attested in English in the mid-15th century, the word carat came from Middle French carat, in turn derived either from Italian carato or Medieval Latin carratus. These were borrowed into Medieval Europe from the Arabic qīrāṭ meaning "fruit of the carob tree", also "weight of 5 grains", (قيراط‎) and was a unit of mass[15] though it was probably not used to measure gold in classical times.[16] The Arabic term ultimately originates from the Greek kerátion (κεράτιον) meaning carob seed (literally "small horn")[16][17][18] (diminutive of κέρας – keras, "horn"[19]).

In 309 CE, Roman Emperor Constantine I began to mint a new gold coin solidus that was ​172 of a libra (Roman pound) of gold[20] equal to a mass of 24 siliquae, where each siliqua (or carat) was ​11728 of a libra.[21] This is believed to be the origin of the value of the karat.[22]

## Verifying fineness

While there are many methods of detecting fake precious metals, there are realistically only two options available for verifying the marked fineness of metal as being reasonably accurate: assaying the metal (which requires destroying it), or using X-ray fluorescence (XRF). XRF will measure only the outermost portion of the piece of metal and so may get misled by thick plating.

That becomes a concern because it would be possible for an unscrupulous refiner to produce precious metals bars that are slightly less pure than marked on the bar. A refiner doing $1 billion of business each year that marked .980 pure bars as .999 fine would make about an extra$20 million in profit. In the United States, the actual purity of gold articles must be no more than .003 less than the marked purity (e.g. .996 fine for gold marked .999 fine), and the actual purity of silver articles must be no more than .004 less than the marked purity.[23]

## Fine weight

A piece of alloy metal containing a precious metal may also have the weight of its precious component referred to as its fine weight. For example, 1 troy ounce of 18 karat gold (which is 75% gold) may be said to have a fine weight of 0.75 troy ounces.

## Troy mass of silver content

In England, the carat was divisible into four grains, and the grain was divisible into four quarts. For example, a gold alloy of ​127128 fineness (that is, 99.2% purity) could have been described as being 23-karat, 3-grain, 1-quart gold.

The karat fractional system is increasingly being complemented or superseded by the millesimal system, described above.

Conversion b

In England, the carat was divisible into four grains, and the grain was divisible into four quarts. For example, a gold alloy of ​127128 fineness (that is, 99.2% purity) could have been described as being 23-karat, 3-grain, 1-quart gold.

The karat fractional system is increasingly being complemented or superseded by the millesimal system, described above.

Conversion between percentage of pure gold and karats:

However, this system of calculation gives only the mass of pure gold contained in an alloy. The term 18-karat gold means that the alloy's mass consists of 75% of gold and 25% of alloy(s). The quantity of gold by volume in a less-than-24-karat gold alloy differs according to the alloy(s) used. For example, knowing that standard 18-karat yellow gold consists of 75% gold, 12.5% silver and the remaining 12.5% of copper (all by mass), the volume of pure gold in this alloy will be 60% since gold is much denser than the other metals used: 19.32 g/cm3 for gold, 10.49 g/cm3 for silver and 8.96 g/cm3 for copper.

This formula gives the amount of gold in cubic centimeters or in milliliters in an alloy: