International Prototype of the Kilogram
The International Prototype of the Kilogram (IPK), known to metrologists as Le Grand K or, especially in German-language writing, the ur-kilogram, was a physical object that defined the kilogram from 1889 until 2019. It replaced the earlier Kilogramme des Archives and was itself replaced by a definition based solely on physical constants. For that 130-year period, the IPK and its copies were the reference for calibrating every other kilogram standard on the planet. The IPK is roughly the size of a golf ball, machined into a right-circular cylinder about 39 millimetres in both height and diameter (to minimize surface area). It is made of a platinum-iridium alloy called Pt‑10Ir, which is 90% platinum and 10% iridium by mass. Adding iridium made the alloy much harder than the all-platinum Kilogramme des Archives while retaining platinum’s key properties: extreme resistance to oxidation, very high density (nearly twice that of lead and over 21 times that of water), good electrical and thermal conductivity, and low magnetic susceptibility. Until 2018, the IPK underpinned four of the seven SI base units: the kilogram itself, plus the mole, ampere, and candela (whose definitions then referenced the gram, newton, and watt). It also supported every named SI derived unit except the hertz, becquerel, degree Celsius, gray, sievert, farad, ohm, siemens, henry, radian, and steradian. The IPK and its six sister copies are kept at the International Bureau of Weights and Measures (BIPM) in a basement vault at the Pavillon de Breteuil in Saint-Cloud, near Paris. The vault requires three independently controlled keys to open. Official copies were distributed to other nations as national standards, and these were compared to the IPK roughly every 40 years, providing traceability back to the prototype. The Metre Convention, signed on 20 May 1875, formalized the metric system and led to the IPK’s creation. The IPK is one of three cylinders made in London in 1879 by Johnson Matthey, which continued producing nearly all national prototypes until the new definition took effect in 2019. In 1883, the IPK’s mass was found to be indistinguishable from the Kilogramme des Archives (made 84 years earlier), and it was formally ratified as the kilogram by the 1st CGPM in 1889. The IPK and its copies are designated as follows: the IPK itself is stored in the BIPM vault. Six sister copies (K1, 7, 8(41), 32, 43, and 47) share the same vault. Ten working copies are kept in the BIPM’s calibration laboratory: eight for routine use (9, 31, 42′, 63, 77, 88, 91, and 650) and two for special use (25 and 73). National prototypes are held by many countries, including Argentina (30), Australia (44, 87), Austria (49), Belgium (28, 37), Brazil (66), Canada (50, 74), China (60, 64; 75 in Hong Kong), Czech Republic (67), Denmark (48), Egypt (58), Finland (23), France (35), Germany (52, 55, 70), Hungary (16), India (57), Indonesia (46), Israel (71), Italy (5, 76), Japan (6, 94, E59), Kazakhstan, Kenya (95), Mexico (21, 90, 96), Netherlands (53), North Korea (68), Norway (36), Pakistan (93), Poland (51), Portugal (69), Romania (2), Russia (12, 26), Serbia (11, 29), Singapore (83), Slovakia (41, 65), South Africa (56), South Korea (39, 72, 84), Spain (24, 3), Sweden (40, 86), Switzerland (38, 89), Taiwan (78), Thailand (80), Turkey (54), United Kingdom (18, 81, 82), and the United States (20, 4, 79, 85, 92). Additional copies are held by non-national organizations, such as the French Academy of Sciences (34) and the Istituto di Metrologia G. Colonnetti in Turin (62). Before 2019, by definition, the IPK’s mass was exactly one kilogram—any error in its measured value was zero. However, changes in its mass over time could be inferred by comparing it to its official copies, a process called “periodic verification” that was rarely done. Only three verifications occurred: in 1889, 1948, and 1989. For example, the United States owns five Pt‑10Ir kilogram standards; two of them, K4 and K20, are from the original batch of 40 replicas distributed in 1884. K20 was designated the US primary national standard. These prototypes are periodically returned to the BIPM for verification, and great care is taken during transport—in 1984, K4 and K20 were hand-carried in the passenger sections of separate commercial flights. No replica has a mass exactly equal to the IPK; their masses are calibrated and recorded as offset values. K20, the US primary standard, originally had an official mass of 1 kg − 39 μg in 1889. A 1948 verification showed 1 kg − 19 μg, and the 1989 verification showed it had returned to its original 1889 value. In contrast, the US check standard K4 has persistently lost mass relative to the IPK, likely because check standards are used more often and are prone to scratches and wear.
- location
- BIPM vault, Pavillon de Breteuil, Saint-Cloud, France
Verified Timeline
Lore & Background
The Metre Convention was signed on 20 May 1875, further formalising the metric system and quickly leading to the production of the IPK. The IPK is one of three cylinders made in London in 1879 by Johnson Matthey. In 1883, the mass of the IPK was found to be indistinguishable from that of the Kilogramme des Archives made eighty-four years prior, and was formally ratified as the kilogram by the 1st CGPM in 1889. The IPK and its six sister copies (K1, 7, 8(41), 32, 43 and 47) are stored in a controlled environment in a basement vault at the BIPM's Pavillon de Breteuil in Saint-Cloud on the outskirts of Paris. Three independently controlled keys are required to open the vault. Official copies were made available to other nations to serve as their national standards, compared to the IPK roughly every 40 years. The only three verifications occurred in 1889, 1948, and 1989. For instance, the US owns five Pt‑10Ir kilogram standards, two of which, K4 and K20, are from the original batch of 40 replicas distributed in 1884. In 1984, the K4 and K20 prototypes were hand-carried in the passenger section of separate commercial flights.
Reader's Guide
By 2018, the IPK underpinned the definitions of four of the seven SI base units: the kilogram itself, plus the mole, ampere, and candela, as well as the definitions of every named SI derived unit except the hertz, becquerel, degree Celsius, gray, sievert, farad, ohm, siemens, henry, radian, and steradian. The IPK may have lost perhaps 50 μg of mass over the last century, and possibly significantly more, in comparison to its official copies. The reason for this drift has eluded physicists. No plausible mechanism has been proposed to explain either a steady decrease in the mass of the IPK, or an increase in that of its replicas. The IPK exhibits a short-term instability of about 30 μg over a period of about a month in its after-cleaned mass. The precise reason is not understood but is thought to entail surface effects. The BIPM developed a cleaning method between 1939 and 1946 comprising firmly rubbing with a chamois soaked in equal parts ether and ethanol, followed by steam cleaning with bi-distilled water, and allowing the prototypes to settle for 7–10 days before verification. Cleaning removes between 5 and 60 μg of contamination. After cleaning, the IPK and its replicas immediately begin gaining mass again, averaging 1.11 μg per month for the first 3 months and then decreasing to about 1 μg per year thereafter.
Did You Know?
- The IPK is one of three cylinders made in London in 1879 by Johnson Matthey.
- The IPK and its replicas are stored in air under two or more nested bell jars.
- The BIPM cleaning method, developed between 1939 and 1946, uses a chamois soaked in equal parts ether and ethanol, followed by steam cleaning with bi-distilled water.
- After cleaning, the IPK and its replicas immediately begin gaining mass again, averaging 1.11 μg per month for the first 3 months.
- In 1984, the US prototypes K4 and K20 were hand-carried in the passenger section of separate commercial flights.
Material and Form: Engineering a Perfect Standard
The International Prototype of the Kilogram is a roughly golfball-sized object made of a platinum–iridium alloy known as Pt‑10Ir, which is 90% platinum and 10% iridium (by mass). It is machined into a right-circular cylinder with perpendicular height equal to its diameter of about 39 millimetres to reduce its surface area. The addition of 10% iridium improved upon the all-platinum Kilogramme des Archives by greatly increasing hardness while still retaining platinum's extreme resistance to oxidation, extremely high density (almost twice as dense as lead and more than 21 times as dense as water), satisfactory electrical and thermal conductivities, and low magnetic susceptibility.
From Convention to Ratification
The Metre Convention was signed on 20 May 1875 and further formalised the metric system (a predecessor to the SI), quickly leading to the production of the IPK. The IPK is one of three cylinders made in London in 1879 by Johnson Matthey, which continued to manufacture nearly all of the national prototypes as needed until the new definition of the kilogram came into effect in 2019. In 1883, the mass of the IPK was found to be indistinguishable from that of the Kilogramme des Archives made eighty-four years prior, and was formally ratified as the kilogram by the 1st CGPM in 1889.
A Global Web of Standards
The IPK and its six sister copies (K1, 7, 8(41), 32, 43 and 47) are stored in a controlled environment in a basement vault at the BIPM's Pavillon de Breteuil in Saint-Cloud on the outskirts of Paris. Three independently controlled keys are required to open the vault. Ten working copies—eight (9, 31, 42′, 63, 77, 88, 91, and 650) for routine use and two (25 and 73) for special use—are kept in the BIPM's calibration laboratory in Saint-Cloud. National prototypes are stored in dozens of countries including Argentina (30), Australia (44 and 87), Austria (49), Belgium (28 and 37), Brazil (66), Canada (50 and 74), China (60 and 64; 75 in Hong Kong), Czech Republic (67), Denmark (48), Egypt (58), Finland (23), France (35), Germany (52, 55 and 70), Hungary (16), India (57), Indonesia (46), Israel (71), Italy (5 and 76), Japan (6, 94 and E59), Kazakhstan, Kenya (95), Mexico (21, 90 and 96), Netherlands (53), North Korea (68), Norway (36), Pakistan (93), Poland (51), Portugal (69), Romania (2), Russia (12 and 26), Serbia (11 and 29), Singapore (83), Slovakia (41 and 65), South Africa (56), South Korea (39, 72 and 84), Spain (24 and 3), Sweden (40 and 86), Switzerland (38 and 89), Taiwan (78), Thailand (80), Turkey (54), United Kingdom (18, 81 and 82), and the United States (20, 4, 79, 85 and 92). Some additional copies are held by non-national organisations such as the French Academy of Sciences in Paris (34) and the Istituto di Metrologia G. Colonnetti in Turin (62). These were compared to the IPK roughly every 40 years, thereby providing traceability of local measurements back to the IPK.
Drift, Decline, and the End of a Physical Standard
By definition, the error in the measured value of the IPK's mass was exactly zero; the mass of the IPK was the kilogram. However, any changes in the IPK's mass over time could be deduced by comparing its mass to that of its official copies stored throughout the world, a rarely undertaken process called 'periodic verification'. The only three verifications occurred in 1889, 1948, and 1989. K20, the US's primary standard, originally had an official mass of 1 kg − 39 μg in 1889; a verification in 1948 showed a mass of 1 kg − 19 μg; the latest verification in 1989 shows a mass precisely identical to its original 1889 value. K4 was originally delivered with an official mass of 1 kg − 75 μg in 1889, but as of 1989 was officially calibrated at 1 kg − 106 μg and ten years later was 1 kg − 116 μg. Over 110 years, K4 lost 41 μg relative to the IPK. What has become clear after the third periodic verification is that masses of the entire worldwide ensemble of prototypes have been slowly but inexorably diverging from each other. It is also clear that the IPK lost perhaps 50 μg of mass over the last century, and possibly significantly more, in comparison to its official copies. The reason for this drift has eluded physicists. No plausible mechanism has been proposed. There are no technical means available to determine whether or not the entire worldwide ensemble of prototypes suffers from even greater long-term trends. Given the lack of data, it is equally valid to state that the first batch of replicas has, as a group, gained an average of about 25 μg over one hundred years in comparison to the IPK. The IPK exhibits a short-term instability of about 30 μg over a period of about a month in its after-cleaned mass. The precise reason is not understood but is thought to entail surface effects. In 2019, the kilogram was redefined based entirely on physical constants, replacing the IPK.
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