Complemented lattice: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>SchreiberBike
Disambiguation needed for the link Closed
 
en>Jess Riedel
add link
Line 1: Line 1:
30 year old Registered Nurse (Developing Disability ) Rolando Servantez from Newmarket, likes to spend time beatboxing, new launch property singapore and tea tasting. Lately took some time to visit Iguazu National Park.<br><br>My homepage :: [http://nationlinked.com/index.php?do=/profile-44551/info/ download The Skywoods]
{{merge|Millesimal fineness|Fineness|date=April 2013}}
{{for|the unit of mass of the same name|Carat (mass)}}
 
The '''carat''' or '''karat''' (symbol: '''K''' or '''kt''') is a unit of purity for [[gold]] [[alloys]].
 
== Measure ==
Carat purity is measured as 24 times the pure mass divided by the total mass:
 
: <math>K = 24\,\frac{M_g}{M_m}</math>
where
: <math>\mathit{K}</math> is the carat rating of the material,
: <math>M_g</math> is the mass of pure gold or platinum in the material, and
: <math>M_m</math> is the total mass of the material.
 
Therefore, 24-Carat gold is fine (actually 99.9% gold by mass rather than 100%), 18-Carat gold is 18 parts gold 6 parts another metal (forming an alloy with 75% gold), 12-Carat gold is 12 parts gold (12 parts another metal), and so forth.
 
In England, the carat was divisible into four grains, and the grain was divisible into four quarts. For example, a gold alloy of <math>\tfrac{381}{384}</math> fineness (that is, 99.2% purity) could have been described as being ''23-carat, 3-grain, 1-quart gold''.
 
The Carat system is increasingly being complemented or superseded by the [[millesimal fineness]] system, in which the purity of [[precious metal]]s is denoted by parts per thousand of pure metal in the alloy; e.g. 18-carat gold, 75% Au, would be called 750..
 
Carat conversion:<br>
58.33% - 62.50% = 14k (acclaimed 58.33%)<br>
75.00% - 79.16% = 18k (acclaimed 75.00%)<br>
91.66% - 95.83% = 22k (acclaimed 91.66%)<br>
95.83% - 99.95% = 23k (acclaimed 95.83%)<br>
99.95 and above = 24k (acclaimed 99.99%)
 
==Volume==
However, this system of calculation gives only the weight of pure gold contained in an alloy. The term ''18-carat gold'' means that the alloy's weight consists of 75% of gold and 25% of alloy(s). The quantity of gold by volume in a less than 24-carat gold alloy differs according to the alloy(s) used. For example, knowing that standard 18-carat yellow gold consists of 75% gold, 12.5% silver and the remaining 12.5% of copper (all by weight), the volume of pure gold in this alloy will be 60% since gold is much more dense than the alloys 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 cm³ or in ml in an alloy:
 
: <math>V_\mathit{Au} = \frac{M_a \times \tfrac{kt}{24}}{19.32}</math>
where
: <math>V_\mathit{Au}</math> is the volume of gold in cm³ or in ml,
: <math>M_a</math> is the total mass of the alloy in grams, and
: <math>\mathit{kt}</math> is the carat purity of the alloy.
 
To have the percentage of the volume of gold in an alloy, divide the volume of gold in cm³ or in ml by the total volume of the alloy in cm³ or in ml.
 
For 10-carat gold, the gold volume in the alloy represents about 26% of the total volume for standard yellow gold. One should be aware of this, since talking about purity according to weight could lead to some misunderstandings; for many people, purity means volume.
 
==Derivation==
"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 from Italian ''carato'', which came from [[Arabic language|Arabic]] ''qīrāṭ'' (قيراط), which came from [[Greek language|Greek]] ''kerátion'' (κεράτιον) meaning [[carob]] seed (literally "small horn")<ref name=harper>{{OEtymD|carat|accessdate=}}</ref><ref>[http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dkera%2Ftion κεράτιον], Henry George Liddell, Robert Scott, ''A Greek-English Lexicon'', on Perseus</ref><ref>Walter W. Skeat (1888), ''[http://www.archive.org/details/etymologicaldict00skeauoft An Etymological Dictionary of the English Language]''</ref>
(diminutive of κέρας - ''keras'', "horn"<ref>[http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dke%2Fras κέρας], Henry George Liddell, Robert Scott, ''A Greek-English Lexicon'', on Perseus</ref>)
and was a unit of weight<ref>[http://oxforddictionaries.com/view/entry/m_en_gb0122990#m_en_gb0122990 carat], Oxford Dictionaries</ref>
though it was probably not used to measure gold in classical times.<ref name=harper/>
 
In 309 CE, [[Roman Emperor]] [[Constantine I]] began to [[mint (coin)|mint]] a new gold coin ''[[solidus (coin)|solidus]]'' that was {{frac|72}} of a ''[[Ancient Roman units of measurement#Mass|libra]]'' (Roman pound) of gold<ref>{{cite book|last=Vagi|first=David L.|title=Coinage and History of the Roman Empire|url=http://books.google.com/books?id=pH9Ok9czKsMC&pg=PA100|accessdate=18 November 2011|volume=II: Coinage|year=1999|publisher=Fitzroy Dearborn|location=Chicago|isbn=1-57958-316-4|page=100}}</ref>
equal to a mass of 24 ''[[siliqua]]'', where each siliqua (or [[carat (mass)|carat]]) was {{frac|1728}} of a libra.<ref>{{cite book|last=Grierson|first=Philip|title=Catalogue of the Byzantine Coins in the Dumbarton Oaks Collection and in the Whittemore Collection|url=http://books.google.com/books?id=l97WJwbuAWsC&pg=PA8|accessdate=18 November 2011|volume=2: pt. 1|year=1968|publisher=Dumbarton Oaks|location=Washington, DC|isbn=0-88402-024-X|page=8}}</ref>
This is believed to be the origin of the value of the karat.<ref>{{cite doi|10.1098/rsbl.2006.0476}}</ref>
 
==Terminology==
'''''22/22K''''' - a quality mark indicating the purity of [[gold]] most popularly used in India. This purity was adapted and practiced by the big jewellers and was later passed to jewel smiths. The first 22 signifies the "Skin purity", the purity of the top layer of the gold jewelry, and the second 22 signifies that after melting purity of the gold jewellery will be 22-karat, or 91.67% of pure gold. This system is used to show consistency in the quality of the gold.
 
This practice was pioneered and introduced in the early mid-1980s by Nemichand Bamalwa & Sons of [[Kolkata]], India, sparking a revolution in India, as it forced jewellers to indicate correctly the after-melting purity.  Heightened consumer awareness made it a most sought-after stamp or quality mark.
 
This symbol or stamp can be found in such Asian countries as [[India]], [[Sri Lanka]], [[Pakistan]], [[Bangladesh]], [[Nepal]], [[Yemen]], and [[Persian Gulf]] countries.
 
{|class="wikitable"
! width=40% | Region<ref name="Goldorg" />
! width=40% | Typical caratage (fineness)
|+International caratages of gold jewellery
|-
|[[Arabic countries]], Far East ([[China]], [[Hong Kong]], [[Taiwan]]), [[Malaysia]], [[Indonesia]] || 24-karat "Chuk Kam" (99.0% min)
|-
|[[Arabic countries]], [[Bangladesh]], [[India]], [[Pakistan]], [[Malaysia]], and [[Sri Lanka]] || 22-karat (91.6%)
|-
|[[Arabic countries]] in the [[Persian Gulf|Persian Gulf region]] || 21-carat (87.5%)
|-
| Europe - Southern / [[Portugal]] || 19.2-karat (80.0%)
|-
| Europe - Southern / [[Mediterranean]] || 18-karat (75.0%) also in most [[Egypt]]
|-
| Europe - Northern [[Germany]], [[Scandinavia]] || 8 to 18-karat (33.3-75.0%)
|-
| [[Brazil]], [[Egypt]] || 18-karat (75.0%)
|-
| [[Russia]] and former [[USSR]] || 9 (37.5%) and 14 (58.3%) karat/old and new 14.04-karat (58.5%) 585 проба
|-
| [[United Kingdom]] || 9-carat to 22-carat (37.5-91.6%)
|-
| [[United States]], [[Canada]] || 10-carat to 18-carat (41.7-75%)
|}
 
===Chinese Gold Standards===
Zú jīn (Mandarin), Chuk Kam (Cantonese) (足金) means pure gold, literally "full gold". It is defined as 99.0% gold minimum with a 1.0% negative tolerance allowed.<ref name="Goldorg">World Gold Council (2003)</ref><ref name="Fallon">Fallon, (2006)</ref> The quality of gold is guaranteed with a "Certificate of Gold" upon purchases in [[Hong Kong]] and [[Macau]]. The related term "千足" and "万足" meaning "thousand exact" and "ten thousand exact" is also used for purity of 99.9% and 99.99% respectively. This is because the impurity is at most 1 in 1,000 in the case of 99.9% or 1 in 10,000 for 99.99%.
 
===United States===
The USA [[Federal Trade Commission]] (FTC) has standardized the karat markings used within its boundaries since the 1940s. Under these regulations, items 10-karat or greater are to be stamped with either "K" or "Kt." Decimal markings are also an option under the CFTC regulations.
 
Under-karating is against the law in the United States of America. There are specific mandated consequences including fines, etc., based upon the severity of the infraction(s).
 
In addition, there is a set of tolerances to the required karat markings in the USA (always designated with a "K" and never a "C") depending upon the use of various soldering requirements when setting stones, mounting crowns, or creating prongs, for example.<ref>[http://ecfr.gpoaccess.gov/cgi/t/text/text-idx?c=ecfr&sid=e0fa969f27e0acf2564eace32b299587&rgn=div8&view=text&node=16:1.0.1.2.13.0.5.5&idno=16 Title 16: Commercial Practices: PART 23—GUIDES FOR THE JEWELRY, PRECIOUS METALS, AND PEWTER INDUSTRIES]</ref>
 
==See also==
* [[Gold coin]]
* [[Platinum coin]]
 
===Gold alloys===
* [[Colored gold]]
* [[Electrum]]
* [[Rose gold]]
* [[Tumbaga]]
* [[White gold]]
 
==Notes==
{{Reflist}}
 
==References==
* Fallon, S. (2006) ''Hong Kong & Macau'', 12th ed., Melbourne; London: Lonely Planet, ISBN 1-74059-843-1
* New Scientist (2006) ''[http://www.newscientist.com/channel/life/mg19025505.100-did-carob-seeds-allow-shady-diamond-deals.html Did carob seeds allow shady diamond deals?]'', New Scientist magazine, '''2550''' (9 May), p.&nbsp;20
* World Gold Council (2003) ''[http://www.gold.org/jewellery/technology/caratage/index.html The Karatage System For Gold Jewellery]'', Online article accessed 28 August 2007
 
[[Category:Gold investments]]
[[Category:Precious metals]]
[[Category:Units of purity]]
[[Category:Jewellery making]]
 
[[es:Quilate]]
[[pl:Karat#Czystość złota]]

Revision as of 00:33, 20 December 2013



2011 Acura TSX Sport Wagon-There are just some of us all around who would never drive an suv or a minivan but need something practical for family duties. The Acura TSX is one in all my favorite cars in sedan form but I felt that the wagon deserved special mention for bringing luxury, style, class and driving fun into the family transportation segment.

When my hubby brought this finding to the eye of the Ft. Wayne Indiana Toyota dealer, i was told that they would look into the matter. After wasting 7 days before actually doing everything to change this lease, i was told exercises, diet tips too newer. The salesman never offered us this wonderful deal, and the sales manager told us their dealership gave us the best deal toyota tundra off road they would probably. In the same sentence the sales team leader told us we qualified for the cheaper offer. In all honesty they didn't give us the cheapest price they can have. They gave us the highest lease price we were willing with regard to. My credit score is excellent, but it wouldn't have designed a difference for this dealership. After we had shopped around precisely what you want our lease, we might have definitely got a new better deal.

Now, Certain understand why Toyota doesn't offer the SE with rear seat DVD entertainment since most parents discovered that to be an indispensible feature nowadays. Besides that toyota tundra tuning the 3.5 liter V6 emits a lion-like and throaty roar under heavy acceleration that your call don't expect from a clever minivan. Do note I did not have a chance to drive a car the 2011 Honda Odyssey yet when I had the outcome might happen to different. We'll see this year.

Brian Ickler will make his begin of 2011 in the Kyle Busch Motorsports #18 Dollar General Toyota Tundra at Texas Motor Speedway on Friday, June 10. The WinStar World Casino 400K is being run when partnered with the IZOD IndyCar Series Twin 275s on Saturday, June eleventh.

The level came when he was a college junior. He'd just won the co-angler division for this 1994 Bassmaster Top 100 on Lake Norman. Diet plans . only or even bass tournament he'd ever entered.

16-year-old Erik Jones brought home his second top finish because many races in the absolutely no. 51 SUV for Kyle Busch Motorsports, finishing ninth in Sunday's NC Education Lottery 200 at Rockingham Speedway. Jones started at the tail-end belonging to the field in 36th, dropping a lap early along. The "lucky dog" award put him back with the lead lap, and Jones climbed in the top 10 in morrison a pardon stages belonging to the 200-lap race, which was won by Kyle Larson.

Another disadvantage in the Platinum package continually that it adds more chrome trim with regard to an exterior overburdened with it and forces Toyota to stoop a new low no Japanese truck maker has ever gotten to. Yes, the Tundra Platinum comes standard with chrome wheels. They are as tacky just like the optional Red Rock Leather (that really looks orange) and the cheesy half wood/half leather steering interior.

Then either the CrewMax Limited Platinum Package which pulls out all of the stops with vented and heated seats, wood grain style trim and a sunroof. Three cab sizes can be had - regular, double and CrewMax. The Tundra also has three wheelbase and bed lengths. Quite a few options? Not what this means you can build ultimate truck, get style, performance and practicality and always be able to cover it. 28 year-old Painting Investments Worker Truman from Regina, usually spends time with pastimes for instance interior design, property developers in new launch ec Singapore and writing. Last month just traveled to City of the Renaissance.

The carat or karat (symbol: K or kt) is a unit of purity for gold alloys.

Measure

Carat purity is measured as 24 times the pure mass divided by the total mass:

K=24MgMm

where

K is the carat rating of the material,
Mg is the mass of pure gold or platinum in the material, and
Mm is the total mass of the material.

Therefore, 24-Carat gold is fine (actually 99.9% gold by mass rather than 100%), 18-Carat gold is 18 parts gold 6 parts another metal (forming an alloy with 75% gold), 12-Carat gold is 12 parts gold (12 parts another metal), and so forth.

In England, the carat was divisible into four grains, and the grain was divisible into four quarts. For example, a gold alloy of 381384 fineness (that is, 99.2% purity) could have been described as being 23-carat, 3-grain, 1-quart gold.

The Carat system is increasingly being complemented or superseded by the millesimal fineness system, in which the purity of precious metals is denoted by parts per thousand of pure metal in the alloy; e.g. 18-carat gold, 75% Au, would be called 750..

Carat conversion:
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 and above = 24k (acclaimed 99.99%)

Volume

However, this system of calculation gives only the weight of pure gold contained in an alloy. The term 18-carat gold means that the alloy's weight consists of 75% of gold and 25% of alloy(s). The quantity of gold by volume in a less than 24-carat gold alloy differs according to the alloy(s) used. For example, knowing that standard 18-carat yellow gold consists of 75% gold, 12.5% silver and the remaining 12.5% of copper (all by weight), the volume of pure gold in this alloy will be 60% since gold is much more dense than the alloys 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 cm³ or in ml in an alloy:

VAu=Ma×kt2419.32

where

VAu is the volume of gold in cm³ or in ml,
Ma is the total mass of the alloy in grams, and
kt is the carat purity of the alloy.

To have the percentage of the volume of gold in an alloy, divide the volume of gold in cm³ or in ml by the total volume of the alloy in cm³ or in ml.

For 10-carat gold, the gold volume in the alloy represents about 26% of the total volume for standard yellow gold. One should be aware of this, since talking about purity according to weight could lead to some misunderstandings; for many people, purity means volume.

Derivation

"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 from Italian carato, which came from Arabic qīrāṭ (قيراط), which came from Greek kerátion (κεράτιον) meaning carob seed (literally "small horn")[1][2][3] (diminutive of κέρας - keras, "horn"[4]) and was a unit of weight[5] though it was probably not used to measure gold in classical times.[1]

In 309 CE, Roman Emperor Constantine I began to mint a new gold coin solidus that was Template:Frac of a libra (Roman pound) of gold[6] equal to a mass of 24 siliqua, where each siliqua (or carat) was Template:Frac of a libra.[7] This is believed to be the origin of the value of the karat.[8]

Terminology

22/22K - a quality mark indicating the purity of gold most popularly used in India. This purity was adapted and practiced by the big jewellers and was later passed to jewel smiths. The first 22 signifies the "Skin purity", the purity of the top layer of the gold jewelry, and the second 22 signifies that after melting purity of the gold jewellery will be 22-karat, or 91.67% of pure gold. This system is used to show consistency in the quality of the gold.

This practice was pioneered and introduced in the early mid-1980s by Nemichand Bamalwa & Sons of Kolkata, India, sparking a revolution in India, as it forced jewellers to indicate correctly the after-melting purity. Heightened consumer awareness made it a most sought-after stamp or quality mark.

This symbol or stamp can be found in such Asian countries as India, Sri Lanka, Pakistan, Bangladesh, Nepal, Yemen, and Persian Gulf countries.

Region[9] Typical caratage (fineness)
International caratages of gold jewellery
Arabic countries, Far East (China, Hong Kong, Taiwan), Malaysia, Indonesia 24-karat "Chuk Kam" (99.0% min)
Arabic countries, Bangladesh, India, Pakistan, Malaysia, and Sri Lanka 22-karat (91.6%)
Arabic countries in the Persian Gulf region 21-carat (87.5%)
Europe - Southern / Portugal 19.2-karat (80.0%)
Europe - Southern / Mediterranean 18-karat (75.0%) also in most Egypt
Europe - Northern Germany, Scandinavia 8 to 18-karat (33.3-75.0%)
Brazil, Egypt 18-karat (75.0%)
Russia and former USSR 9 (37.5%) and 14 (58.3%) karat/old and new 14.04-karat (58.5%) 585 проба
United Kingdom 9-carat to 22-carat (37.5-91.6%)
United States, Canada 10-carat to 18-carat (41.7-75%)

Chinese Gold Standards

Zú jīn (Mandarin), Chuk Kam (Cantonese) (足金) means pure gold, literally "full gold". It is defined as 99.0% gold minimum with a 1.0% negative tolerance allowed.[9][10] The quality of gold is guaranteed with a "Certificate of Gold" upon purchases in Hong Kong and Macau. The related term "千足" and "万足" meaning "thousand exact" and "ten thousand exact" is also used for purity of 99.9% and 99.99% respectively. This is because the impurity is at most 1 in 1,000 in the case of 99.9% or 1 in 10,000 for 99.99%.

United States

The USA Federal Trade Commission (FTC) has standardized the karat markings used within its boundaries since the 1940s. Under these regulations, items 10-karat or greater are to be stamped with either "K" or "Kt." Decimal markings are also an option under the CFTC regulations.

Under-karating is against the law in the United States of America. There are specific mandated consequences including fines, etc., based upon the severity of the infraction(s).

In addition, there is a set of tolerances to the required karat markings in the USA (always designated with a "K" and never a "C") depending upon the use of various soldering requirements when setting stones, mounting crowns, or creating prongs, for example.[11]

See also

Gold alloys

Notes

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

References

es:Quilate pl:Karat#Czystość złota

  1. 1.0 1.1 Template:OEtymD
  2. κεράτιον, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
  3. Walter W. Skeat (1888), An Etymological Dictionary of the English Language
  4. κέρας, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus
  5. carat, Oxford Dictionaries
  6. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
  7. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
  8. Template:Cite doi
  9. 9.0 9.1 World Gold Council (2003)
  10. Fallon, (2006)
  11. Title 16: Commercial Practices: PART 23—GUIDES FOR THE JEWELRY, PRECIOUS METALS, AND PEWTER INDUSTRIES