Alloy

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An alloy is a combination of metals or of metals and other elements.

Examples

Vanadium steel
Used in early Ford’s.
Crown gold
A 22 karat (kt) (91623 fine) gold alloy used for English & UK gold coins from 1526 (Henry VIII) to 1914 (as currency), and since then for trade and bullion coins. (2224 gold, 224 copper)
𝜌 = 17.61 g/㎝³
“Standard gold” (US)
A 900 fine gold alloy used for US coins. (90% gold, ≤5% silver, 5-10% copper)
𝜌 = 17.43±.12 g/㎝³
“Crown electrum” (d20)
A 4  1734 ʤ gold, 6 ℥ 3½ ʤ silver, 1834 ʤ copper alloy worth 12 of crown gold by weight (presuming that sterling silver is worth 110 of crown gold by weight). (i.e. the d20 gold-silver standard)
Britannia silver
An 11  10 ʤ (958 fine) silver alloy required in England for “wrought plate” (non-monetary silversmithing) from 1697–1720 to inhibit coin clipping and melting. (2324 silver, 124 copper)
𝜌 = 10.42 g/㎝³
Sterling silver
An 11  214 ʤ (926 fine) fine silver alloy used for English & UK silver coins from before 1158 (Henry II) to 1919. (92.6% silver, 7.4% copper)
𝜌 = 10.37 g/㎝³
“Standard silver” (US)
A 900 fine silver alloy used for US coins from ____ to 1964. (90% silver, 10% copper)
𝜌 = 10.32 g/㎝³
“Coin gold” (d20) 906 fine gold 2932 gold, 332 copper 𝜌 = 17.42
“Coin electrum” (d20) 906 fine electrum 2564 Au, 3364 Ag, 332 Cu 𝜌 = 12.53
“Coin silver” (d20) 906 fine silver 2932 silver, 332 copper 𝜌 = 10.33
“Coin copper” (d20) 906 fine copper 2932 copper, 332 tin/zinc 𝜌 = 8.76
1700's katana steel 𝜌 = 7.74
1500's katana steel 𝜌 = 7.76
Alloy steel, AISI 5160 (UNS G51600)AZO
97.45% iron, 0.6% carbon, 0.8% chromium, 0.87% manganese, 0.22% silicon, 0.03% phosphorus, 0.03% sulfur.
𝜌 = 7.85
Tool Steel, A2 (UNS T30102)AZO
90.28% iron, 1% carbon, 5.13% chromium, 1% manganese, 0.5% silicon, 0.3% nickel, 1.15% molybdenum, 0.33% vanadium, 0.25% copper, 0.03% phosphorus, 0.03% sulfur.
𝜌 = 7.86

Density

ᴍ = material constituent
𝜌 = density (i.e. g/㎝³)
𝐴ᵣ = atomic weight
𝑤 = mass fraction (i.e. 910, .900 or 90%)
𝑎𝑡٪ = atomic percent
Alloy (general)

𝜌Alloy = 1
𝑤ᴍ₁
𝜌ᴍ₁
+
𝑤ᴍ₂
𝜌ᴍ₂
+
𝑤ᴍ₃
𝜌ᴍ₃
+

Au-Ag
𝜌Au-Ag = 𝜌Au 𝑤Au + 𝜌Ag 𝑤Ag − 4 exp(0.005 𝑤Au) 𝑤Au 𝑤Ag
Au-Cu
𝜌Au-Cu = 𝜌Au 𝑤Au + 𝜌Cu 𝑤Cu − 5 exp(0.01 𝑤Au) 𝑤Au 𝑤Cu
Ag-Cu
𝜌Ag-Cu = 𝜌Ag 𝑤Ag + 𝜌Cu 𝑤Cu − 0.12 exp(0.02 𝑤Cu) 𝑤Ag 𝑤Cu
Au-Ag-Cu
𝜌Au-Ag-Cu = 1.004 𝑎𝑡٪Au 𝜌Au + 1.03 𝑎𝑡٪Ag 𝜌Ag + 0.096 𝑎𝑡٪Cu 𝜌Cu + x − y
x = 0.35 ( cos(45+0.45 𝑎𝑡٪Au) + cos(45+0.45 𝑎𝑡٪Ag) + sin(𝑎𝑡٪Au) )
y = 0.005 (𝑎𝑡٪Au+𝑎𝑡٪Ag) cos(0.9 𝑎𝑡٪Cu) + 0.2 cos(3.2 𝑎𝑡٪Cu)
𝑎𝑡٪ᴍ₁ =
𝑤ᴍ₁
𝐴ᵣᴍ₁
𝑤ᴍ₁
𝐴ᵣᴍ₁
+
𝑤ᴍ₂
𝐴ᵣᴍ₂
+
𝑤ᴍ₃
𝐴ᵣᴍ₃
+

Hardness

1812 Hᴍ Hardness, Mohs
1900 Hardness, Brinell
1908 Hardness, Meyer
1908 Hardness, Rockwell
1921 Hᴠ Hardness, Vickers
1939 Hᴋ Hardness, Knoop
1975 Hardness, Leeb
2000 Hᴅ Hardness, D&D/d20 ≈ Hᴍ × 2
Check for accuracy
Hʙ = Hᴠ ÷ 1.05 + 10
Hᴠ = Hʙ × 1.05 − 10.5

References

  • Kraut, J.C.; Stern, W.B. (June 2000) “The Density of Gold-Silver-Copper Alloys and its Calculation from the Chemical Composition”. Gold Bulletin, Vol. 33, Iss. 2, pp. 52–55. Springer-Verlag. doi:https://doi.org/10.1007/BF03216580.
  • Good, David; Cabri, Louis J.; Ames, Doreen E. (April 2017) “PGM Facies variations for Cu-PGE deposits in the Coldwell Alkaline Complex, Ontario, Canada”. Ore Geology Reviews, Iss. 90. doi:10.1016/j.oregeorev.2017.04.028.
aurian silver (<50 at% Ag) – i.e. “Egyptian silver” derived from silver-rich alluvial gold deposits and alloyed with as much as 15% copper.
electrum (50–80 at% Ag)
gold (>80 at% Ag)