| Millijoules (mJ) | Electronvolts (eV) |
|---|---|
| 1 Millijoule | 6.24150907446 × 1015 eV |
| 2 Millijoules | 1.24830181489 × 1016 eV |
| 3 Millijoules | 1.87245272234 × 1016 eV |
| 4 Millijoules | 2.49660362978 × 1016 eV |
| 5 Millijoules | 3.12075453723 × 1016 eV |
| 10 Millijoules | 6.24150907446 × 1016 eV |
| 20 Millijoules | 1.24830181489 × 1017 eV |
| 25 Millijoules | 1.56037726862 × 1017 eV |
| 50 Millijoules | 3.12075453723 × 1017 eV |
| 100 Millijoules | 6.24150907446 × 1017 eV |
| Reference | Millijoules (mJ) | Electronvolts (eV) |
|---|---|---|
| One food calorie (kcal) | 4184000 mJ | 2.61145 × 1022 eV |
| An AA alkaline battery | 10000000 mJ | 6.24151 × 1022 eV |
| Daily adult food intake | 8.368 × 109 mJ | 5.22289 × 1025 eV |
| One unit on an electricity bill | 3.6 × 109 mJ | 2.24694 × 1025 eV |
| A lightning strike | 1 × 1012 mJ | 6.24151 × 1027 eV |
The millijoule is a unit of energy equal to one thousandth of a joule, or 0.001 joules. Its symbol is mJ. It is the first unit on the way down from the joule at which the human body stops being able to feel what is happening, and for that reason it appears wherever a small amount of energy has to be released deliberately and precisely.
Everyday mechanics reaches it easily. A paperclip weighing a gram, dropped from a metre, arrives with about ten millijoules. Pressing a keyboard key takes a couple, turning a page rather less, and the spark that jumps from a doorknob on a dry day carries between one and ten. That last figure is roughly where the threshold of sensation lies, which makes the millijoule the smallest energy a person routinely notices without being told.
Explosion protection is written here. The minimum ignition energy of methane in air is about 0.28 millijoules and of propane about 0.25, while clouds of flour, sugar or metal dust need tens of millijoules. Standards for hazardous areas set the permitted stored energy of a circuit against those numbers, so the whole framework of intrinsic safety turns on quantities in this range rather than on anything a voltmeter shows.
Medical and industrial lasers are rated in millijoules per pulse. A Q-switched laser used for tattoo removal or lithotripsy delivers a few hundred millijoules in a few nanoseconds, and the extreme brevity is what converts a modest energy into a peak power of megawatts. Ophthalmic capsulotomy uses a few millijoules, and dermatological devices are titrated in the same unit because the dose per pulse, not the session, determines the effect on tissue.
Small electrical and acoustic quantities land here too. A one-milliwatt laser pointer emits one millijoule every second. A person speaking loudly radiates roughly a millijoule of sound each second, and a smoke alarm sounder several. A capacitor of one microfarad charged to fifty volts stores 1.25 millijoules, which is the sort of figure printed on flash circuits, ignition modules and camera shutters.
Above it the joule takes over and effects become obviously mechanical; below it the microjoule takes over and effects become invisible. That makes the millijoule the practical boundary of perception, and explains why safety limits, sensitivity thresholds and dose specifications so often stop at three decimal places rather than going further.
One millijoule equals 0.001 joules, about 0.000239 calories, or about 0.000000278 watt-hours.
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.