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## The kilogram (kg)

The kilogram is the International System of Units (SI) unit for mass. It is the only remaining base unit to be defined by a physical object. All standards of mass must ultimately be traceable to this one object, a cylinder of platinum-iridium alloy kept at the International Bureau of Weights and Measures (BIPM) in France.

As science and industry's requirement for a more accurate way to measure extreme weights increases, the search is on for a definition of the kilogram in terms of a fundamental constant to improve its long-term stability and to eliminate the necessity for traceability to a single physical artefact.

Today two key approaches are being pursued: building an electrical kilogram and counting atoms.

The quantum electrical standards for voltage and resistance, which are based upon the Planck constant and the elementary charge, are more stable than the present kilogram. The kilogram can be accurately compared with these standards using a moving-coil watt balance. Here, the weight of a 1 kg mass is balanced against the electromagnetic force generated by a current-carrying coil hung in a magnetic field. The ratio of the force generated by the coil to the the current passing through it is calibrated in a second phase of the experiment, which measures the voltage generated by the coil as it it moved at a measured velocity through the magnetic field. As the voltage and the current are measured using quantum electrical standards, the kilogram can be defined in terms of a fixed value of the Planck constant plus the existing definitions of the metre and the second.

The second approach relates the kilogram to an atomic mass, so that it can be defined as the mass of a fixed number of atoms. The number of atoms in a perfect silicon crystal can be counted by measuring its volume and dividing this by the volume a single atom occupies. This volume is measured by combined X-ray and optical interference techniques. This process amounts to a very accurate measurement of the Avogadro constant (NA).

(NA) is defined as the number of atoms in 0.012 kg of the isotope carbon 12 and thus is the number of entities in a mole of substance.

You can find out more about redefining the kilogram on our Educate & Explore page.

These methods can only be used to measure the base unit if they can measure exactly one kilogram on demand. The first step is getting the resolution. This has almost been achieved for the electrical method. The next step is to get repeatable results and the final step is to ensure that the individial electrical and atomic mass experiments are in agreement. Both the electrical kilogram researchers and the atom counters are pursuing the ultimate target of measuring a kilogram with an accuracy of a millionth of one percent, every time.

Last Updated: 14 Feb 2014
Created: 8 Oct 2010

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