Alloy: Difference between revisions
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{| class="tight center" | An '''alloy''' is a combination of metals or of metals and other elements. | ||
|style="padding-top:. | |||
|style="padding-top:. | == Examples == | ||
|style="border-bottom:1px solid black;" | ;Vanadium steel: Used in early Ford’s. | ||
;{{wp|Crown gold}} | |||
: A 22 {{wp|karat|karat (kt)}} ({{frac|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. ({{frac|22|24}} gold, {{frac|2|24}} copper) | |||
: 𝜌 = {{alloy|Au=22/24|Cu=2/24}} g/㎝³ | |||
;“Standard gold” (US) | |||
: A 900 fine gold alloy used for US coins. (90% gold, ≤5% silver, 5-10% copper) | |||
: 𝜌 = {{alloy|Au=.9|Ag=.025|Cu=.075}}±.12 g/㎝³ | |||
;“Crown electrum” (d20) | |||
: A 4 {{abbr|℥|line1=troy ounce, |line2=1 ℥ = ¹⁄₁₂ ℔ (troy pound)}} {{frac|17|3|4}} {{abbr|ʤ|line1=pennyweight, |line2=1 ʤ = ¹⁄₂₀ ℥ (troy ounce) |line3=1 ʤ = ¹⁄₂₄₀ ℔ (troy pound)}} gold, 6 ℥ 3½ ʤ silver, {{frac|18|3|4}} ʤ copper alloy worth {{frac|2}} of crown gold by weight (presuming that sterling silver is worth {{frac|10}} of crown gold by weight). (i.e. the d20 gold-silver standard) | |||
;{{wp|Britannia silver}} | |||
: An 11 {{abbr|℥|line1=troy ounce, |line2=1 ℥ = ¹⁄₁₂ ℔ (troy pound)}} 10 {{abbr|ʤ |line1=pennyweight, |line2=1 ʤ = ¹⁄₂₀ ℥ (troy ounce) |line3=1 ʤ = ¹⁄₂₄₀ ℔ (troy pound)}} (958 fine) silver alloy required in England for “wrought plate” (non-monetary silversmithing) from 1697–1720 to inhibit {{wp|coin clipping}} and melting. ({{frac|23|24}} silver, {{frac|1|24}} copper) | |||
: 𝜌 = {{alloy|Ag=.958333|Cu=.041667}} g/㎝³ | |||
;{{wp|Sterling silver}} | |||
: An 11 {{abbr|℥|line1=troy ounce, |line2=1 ℥ = ¹⁄₁₂ ℔ (troy pound)}} {{frac|2|1|4}} {{abbr|ʤ |line1=pennyweight, |line2=1 ʤ = ¹⁄₂₀ ℥ (troy ounce) |line3=1 ʤ = ¹⁄₂₄₀ ℔ (troy pound)}} (926 fine) {{wp|fineness|fine}} silver alloy used for English & UK silver coins from before 1158 (Henry II) to 1919. (92.6% silver, 7.4% copper) | |||
: 𝜌 = {{alloy|Ag=.926|Cu=.074}} g/㎝³ | |||
;“Standard silver” (US) | |||
: A 900 fine silver alloy used for US coins from ____ to 1964. (90% silver, 10% copper) | |||
: 𝜌 = {{alloy|Ag=.9|Cu=.1}} g/㎝³ | |||
{| | |||
! “Coin gold” (d20) | |||
| 906 fine gold | |||
| {{frac|29|32}} gold, {{frac|3|32}} copper | |||
| 𝜌 = {{alloy|Au=29/32|Cu=3/32}} | |||
|- | |||
! “Coin electrum” (d20) | |||
| 906 fine electrum | |||
| {{frac|25|64}} Au, {{frac|33|64}} Ag, {{frac|3|32}} Cu <!-- {{frac|29|72}} Au, {{frac|145|288}} Ag, {{frac|3|32}} Cu --> | |||
| 𝜌 = {{alloy|Au=25/64|Ag=33/64|Cu=3/32}} | |||
|- | |||
! “Coin silver” (d20) | |||
| 906 fine silver | |||
| {{frac|29|32}} silver, {{frac|3|32}} copper | |||
| 𝜌 = {{alloy|Ag=29/32|Cu=3/32}} | |||
|- | |||
! “Coin copper” (d20) | |||
| 906 fine copper | |||
| {{frac|29|32}} copper, {{frac|3|32}} tin/zinc | |||
| 𝜌 = {{alloy|Cu=29/32|tin=3/64|zinc=3/64}} | |||
|} | |||
:1700's katana steel 𝜌 = {{alloy |Fe=0.9933 |C=0.0056 |Mn=0.00005 |Si=0.0002 |P=0.00075 |Cu=0.0001}} | |||
:1500's katana steel 𝜌 = {{alloy |Fe=0.99411 |C=0.005 |Mn=0.00005 |Si=0.0004 |P=0.00034 |Cu=0.0001}} | |||
;Alloy steel, AISI 5160 (UNS G51600)<sup>[https://www.azom.com/article.aspx?ArticleID=6743 AZO]</sup> | |||
: {{abbr|97.45%|97.085–97.84%}} iron, {{abbr|0.6%|0.56–0.64%}} carbon, {{abbr|0.8%|0.7–0.9%}} chromium, {{abbr|0.87%|0.75–1.0%}} manganese, {{abbr|0.22%|0.15–0.3%}} silicon, {{abbr|0.03%|≤ 0.035%}} phosphorus, {{abbr|0.03%|≤ 0.04%}} sulfur. | |||
: 𝜌 = {{abbr|7.85| {{alloy |Fe=0.9745 |Mn=0.0087 |Cr=0.008 |C=0.006 |P=0.0003 |Si=0.0022 |S=0.0003}} calculated}} | |||
;Tool Steel, A2 (UNS T30102)<sup>[https://www.azom.com/article.aspx?ArticleID=6218 AZO]</sup> | |||
: 90.28% iron, 1% carbon, {{abbr|5.13%|4.75–5.5%}} chromium, 1% manganese, 0.5% silicon, 0.3% nickel, {{abbr|1.15%|0.9–1.4%}} molybdenum, {{abbr|0.33%|0.15–0.5%}} vanadium, 0.25% copper, 0.03% phosphorus, 0.03% sulfur. | |||
: 𝜌 = {{abbr|7.86| {{alloy |Fe=0.9028 |C=0.01 |Mn=0.01 |Si=0.005 |Cr=0.0513 |Ni=0.003 |Mo=0.0115 |V=0.0033 |Cu=0.0025 |P=0.0003 |S=0.0003}} calculated}} | |||
=== Density === | |||
:ᴍ = material constituent | |||
:𝜌 = density (i.e. g/㎝³) | |||
:𝐴ᵣ = atomic weight | |||
:𝑤 = mass fraction (i.e. {{frac|9|10}}, .900 or 90%) | |||
:𝑎𝑡٪ = atomic percent | |||
;Alloy (general) | |||
<dd> | |||
{| class="tight center c1c" | |||
|- | |||
|style="padding-top:.8em;" rowspan=2 class=p0| 𝜌<sub>Alloy</sub> | |||
|style="padding-top:.8em;" rowspan=2| = | |||
|style="border-bottom:1px solid black;"|<!-- N --> 1 | |||
|- | |||
|<!-- D --> | |||
{| class="tight c1c" | |||
|class=p0|<!-- D1 --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₁ | |||
|- | |||
| 𝜌ᴍ₁ | |||
|} | |||
|style="vertical-align:middle;"| + | |||
|class=p0|<!-- D2 --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₂ | |||
|- | |- | ||
| | | 𝜌ᴍ₂ | ||
|style=" | |} | ||
| | |style="vertical-align:middle;"| + | ||
| | |class=p0|<!-- D3 --> | ||
|style="border-bottom:1px solid black;" | {| class="tight c1c" | ||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₃ | |||
|- | |- | ||
| | | 𝜌ᴍ₃ | ||
|} | |} | ||
|style="vertical-align:middle;"| + | |||
|style="vertical-align:middle;" class=p0| ⋯ | |||
|}<!-- End D --> | |||
|} | |||
</dd> | |||
;Au-Ag: 𝜌<sub>Au-Ag</sub> = 𝜌Au 𝑤Au + 𝜌Ag 𝑤Ag − 4 exp(0.005 𝑤Au) 𝑤Au 𝑤Ag | |||
;Au-Cu: 𝜌<sub>Au-Cu</sub> = 𝜌Au 𝑤Au + 𝜌Cu 𝑤Cu − 5 exp(0.01 𝑤Au) 𝑤Au 𝑤Cu | |||
;Ag-Cu: 𝜌<sub>Ag-Cu</sub> = 𝜌Ag 𝑤Ag + 𝜌Cu 𝑤Cu − 0.12 exp(0.02 𝑤Cu) 𝑤Ag 𝑤Cu | |||
;Au-Ag-Cu: 𝜌<sub>Au-Ag-Cu</sub> = 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) | |||
<dd><dl><dd> | |||
{| class="tight center c1c" | |||
|- | |||
|style="vertical-align:middle;" rowspan=2 class=p0| 𝑎𝑡٪ᴍ₁ | |||
|style="vertical-align:middle;" rowspan=2| = | |||
|style="border-bottom:1px solid black;"|<!-- N --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₁ | |||
|- | |||
| 𝐴ᵣᴍ₁ | |||
|} | |||
|- | |||
|<!-- D --> | |||
{| class="tight c1c" | |||
|class=p0|<!-- D1 --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₁ | |||
|- | |||
| 𝐴ᵣᴍ₁ | |||
|} | |||
|style="vertical-align:middle;"| + | |||
|class=p0|<!-- D2 --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₂ | |||
|- | |||
| 𝐴ᵣᴍ₂ | |||
|} | |||
|style="vertical-align:middle;"| + | |||
|class=p0|<!-- D3 --> | |||
{| class="tight c1c" | |||
|style="border-bottom:1px solid black;"| 𝑤ᴍ₃ | |||
|- | |||
| 𝐴ᵣᴍ₃ | |||
|} | |||
|style="vertical-align:middle;"| + | |||
|style="vertical-align:middle;" class=p0| ⋯ | |||
|}<!-- End D --> | |||
|} | |||
</dd></dl></dd> | |||
=== Hardness === | |||
{| class="tight c1sm" | |||
|- | |||
! | |||
|- | |||
| 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, <small>D&D</small>/d20 || ≈ Hᴍ × 2 | |||
|} | |||
;Check for accuracy | |||
: Hʙ = Hᴠ ÷ 1.05 + 10 | |||
: Hᴠ = Hʙ × 1.05 − 10.5 | |||
== References == | |||
* {{cite |title=The Density of Gold-Silver-Copper Alloys and its Calculation from the Chemical Composition | |||
|first1=J.C. |last1=Kraut |first2=W.B. |last2=Stern | |||
|date=June 2000 |work=Gold Bulletin |vol=33 |iss=2 |pp=52–55 | |||
|doi=https://doi.org/10.1007/BF03216580 | |||
|pub=Springer-Verlag | |||
|issn=0017-1557 | |||
|webissn=2190-7579 | |||
}} | |||
* {{cite |title=PGM Facies variations for Cu-PGE deposits in the Coldwell Alkaline Complex, Ontario, Canada |work=Ore Geology Reviews |iss=90 |date=April 2017 |doi=10.1016/j.oregeorev.2017.04.028 |first1=David |last1=Good |first2=Louis J. |last2=Cabri |first3=Doreen E. |last3=Ames}} | |||
: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) | |||
Latest revision as of 19:15, 5 April 2019
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 | |||||||||||
|
- 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)