Conversion from Kilojoules to Electronvolts

Information about the Kilojoule (kJ)

The kilojoule is a unit of energy equal to 1000 joules. Its symbol is kJ. It is the working unit of nutrition labelling in most of the world outside North America, and the natural scale for chemical reactions, mechanical impacts and small quantities of stored energy.

Food labelling is where most people meet it. European Union regulations require energy to be declared in kilojoules with kilocalories alongside, and Australia and New Zealand use kilojoules alone. A slice of bread holds roughly 300 kilojoules, a banana about 400, and daily requirements run from about 8000 to 10,500. The figures are larger than the kilocalorie equivalents by a factor of 4.184, which is why the two scales are rarely confused once seen together.

Chemistry adopted it wholesale. Enthalpies of reaction, bond dissociation energies, lattice energies and activation barriers are tabulated in kilojoules per mole, and the numbers land conveniently: a typical single covalent bond takes between 150 and 500 kilojoules per mole to break, and the combustion of methane releases 890.

Mechanical impacts sit at the same scale. A car at 50 kilometres per hour carries around 150 kilojoules of kinetic energy per tonne, a rifle bullet a few, and a boxer's punch about one. Protective equipment standards specify the energy a helmet or a barrier must absorb in kilojoules, which is what makes the ratings comparable across designs.

The unit describes stored energy in devices too small for kilowatt-hours. A camera flash capacitor holds a few kilojoules, a defibrillator discharge is around 0.2, and a compressed-air tool cycle uses a handful. Physiology uses it for the energy cost of movement, where a flight of stairs costs a person around 20 kilojoules.

Its main competitor for public use is the kilocalorie, which persists in the United States and in casual speech nearly everywhere. Where both appear, the kilojoule is the one that connects to the rest of physics without a conversion factor.

Materials testing uses the unit in a distinctive way. The Charpy test drops a weighted pendulum onto a notched bar and reports the energy absorbed in breaking it, typically a few tens of joules for steel at room temperature but falling sharply as the temperature drops. Plotting that energy against temperature reveals the ductile-to-brittle transition, the point at which a metal stops bending and starts shattering. The investigation of the Liberty ships that split in half in cold Atlantic water during the Second World War rested on exactly this measurement, and modern steel specifications still state a minimum absorbed energy at a stated temperature.

One kilojoule equals 1000 joules, about 239 calories, or about 0.278 watt-hours.

Information about the Electronvolt (eV)

The electronvolt is a unit of energy equal to the work done on a single electron moved through a potential difference of one volt. Its symbol is eV. Since the 2019 redefinition of the SI it has an exact value, 1.602176634 times ten to the power minus nineteen joules, because the elementary charge itself is now a defined constant.

It exists because the joule is hopelessly large for the atomic world. A single visible photon carries between about 1.6 and 3.3 electronvolts, and expressing that in joules requires nineteen leading zeros. Working in electronvolts lets a physicist state the energy of a chemical bond, an atomic transition or a subatomic collision as a number between one and a few, which is what a unit is supposed to do.

The scale organises whole disciplines. Chemistry lives at a few electronvolts, the energy of bonds and of the visible and ultraviolet photons that break them. X-rays occupy kiloelectronvolts. Nuclear physics works in megaelectronvolts, the scale of binding energies and radioactive decay. Particle physics uses gigaelectronvolts, where the proton's rest mass is 0.938, and teraelectronvolts at the Large Hadron Collider, whose protons carry 6.8 each.

Mass is quoted in the same unit through the mass-energy relation. A particle's rest mass is given in electronvolts divided by the speed of light squared, and physicists routinely drop the divisor and simply say that the electron is 511 kiloelectronvolts. The Higgs boson is 125 gigaelectronvolts on the same convention.

Semiconductor engineering depends on it. The band gap that determines what a material does electrically and optically is an energy in electronvolts: about 1.1 for silicon, 3.4 for gallium nitride, and this single number decides whether a device is a solar cell, a transistor or a blue light-emitting diode.

Astronomy inherits the convention for high-energy photons, so gamma-ray telescopes report observations in gigaelectronvolts and teraelectronvolts rather than in wavelengths.

Particle accelerators are named after the energies they reach, which is why their names track the prefixes. The Cockcroft-Walton machine that first split a nucleus in 1932 worked at a few hundred kiloelectronvolts; the Bevatron of the 1950s reached billions and found the antiproton; and the Large Hadron Collider brings protons to 6.8 teraelectronvolts each. Cosmic rays put all of this in perspective by arriving with energies up to 10 to the twentieth electronvolts, tens of millions of times more than any machine can produce, though only a handful of such particles strike the Earth in a century over a square kilometre.

One electronvolt equals about 1.602 times ten to the power minus nineteen joules, or roughly 3.83 times ten to the power minus twenty calories.