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) (916 2⁄3 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. (‌22⁄24 gold, ‌2⁄24 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 ℥ 17 3⁄4 ʤ gold, 6 ℥ 3½ ʤ silver, 18 3⁄4 ʤ copper alloy worth ‌1⁄2 of crown gold by weight (presuming that sterling silver is worth ‌1⁄10 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. (‌23⁄24 silver, ‌1⁄24 copper)
𝜌 = 10.42 g/㎝³
Sterling silver
An 11 ℥ 2 1⁄4 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 ‌29⁄32 gold, ‌3⁄32 copper 𝜌 = 17.42
“Coin electrum” (d20) 906 fine electrum ‌25⁄64 Au, ‌33⁄64 Ag, ‌3⁄32 Cu 𝜌 = 12.53
“Coin silver” (d20) 906 fine silver ‌29⁄32 silver, ‌3⁄32 copper 𝜌 = 10.33
“Coin copper” (d20) 906 fine copper ‌29⁄32 copper, ‌3⁄32 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. ‌9⁄10, .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 Hʙ Hardness, Brinell
1908 Hʏ Hardness, Meyer
1908 Hʀ Hardness, Rockwell
1921 Hᴠ Hardness, Vickers
1939 Hᴋ Hardness, Knoop
1975 Hʟ 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)