Kilocalorie (nutritional) to Electron Volt

Most weight-loss guidelines recommend a deficit of 500 kcal/day below your maintenance level, which typically means 1,200–1,800 kcal/day for most adults. A 500 kcal/day deficit yields roughly 0.45 kg (1 lb) of fat loss per week, since one kilogram of body fat stores about 7,700 kcal. Going below 1,200 kcal/day is generally not recommended without medical supervision.

Almond cell walls are rigid and resist digestion — about 20% of the fat in whole almonds passes through the gut unabsorbed. A USDA study found that almonds provide ~129 kcal per 28 g serving, not the 170 kcal on the label. Walnuts and pistachios show similar discrepancies of 5–20%. Food labels use standard Atwater factors that assume full digestibility, which overestimates usable energy for structurally intact whole foods like nuts, seeds, and legumes.

The Atwater system assigns 9 kcal per gram of fat, 4 kcal per gram of protein, and 4 kcal per gram of carbohydrate. Alcohol provides 7 kcal/g. These rounded values have been the basis of food labeling since the 1890s. Actual digestibility varies — fiber-rich carbohydrates yield fewer usable kcal because the body cannot fully break them down.

A marathon (42.195 km) burns approximately 2,200–3,200 kcal depending on body weight, pace, and efficiency. A 70 kg runner typically burns about 2,600 kcal; an 85 kg runner about 3,100 kcal. That is roughly equivalent to 35 bananas or 13 slices of pizza. Elite runners complete the distance in about 2 hours, so their metabolic rate during the race exceeds 1,300 kcal/hour.

The International Table calorie (4.1868 J) was adopted by the Fifth International Conference on Properties of Steam in 1956 and became the standard for engineering and nutrition. The thermochemical calorie (4.184 J) was standardized earlier for chemistry. Nutritionists chose the IT value because food energy intersects more with engineering standards (steam tables, heating) than pure chemistry. The 0.07% difference is negligible for dietary purposes.

Because subatomic energies in joules have absurdly small exponents — a visible-light photon carries about 3 × 10⁻¹⁹ J, but a convenient 1.9 eV. The electron volt is scaled to the quantum world, making numbers human-readable. It also doubles as a mass unit (via E = mc²): a proton is 938.3 MeV/c², far easier to work with than 1.673 × 10⁻²⁷ kg.

Visible light photons range from about 1.65 eV (deep red, 750 nm) to 3.1 eV (violet, 400 nm). Green light, where the human eye is most sensitive, sits around 2.3 eV. Ultraviolet photons start at 3.1 eV and can exceed 100 eV in the extreme UV. These energies are why UV can damage DNA (breaking molecular bonds of 3–5 eV) while visible light cannot.

A semiconductor's bandgap — the minimum energy to free an electron from its bond — is expressed in eV. Silicon has a bandgap of 1.12 eV, gallium arsenide 1.42 eV, and gallium nitride 3.4 eV. The bandgap determines which wavelengths of light a solar cell can absorb and what color an LED emits. Lower bandgap means longer-wavelength (redder) light.

The LHC accelerates protons to 6.5 TeV (6.5 × 10¹² eV) per beam, giving collisions a center-of-mass energy of 13 TeV. That sounds enormous, but 13 TeV is only about 2 microjoules — the kinetic energy of a flying mosquito. The power of the LHC lies in concentrating that energy into a space a million times smaller than an atom.

Multiply by 1.602 176 634 × 10⁻¹⁹. So 1 eV = 1.602 × 10⁻¹⁹ J, 1 keV = 1.602 × 10⁻¹⁶ J, and 1 MeV = 1.602 × 10⁻¹³ J. This conversion factor is exactly the elementary charge in coulombs, because an electron volt is defined as the energy gained by one electron charge crossing one volt of potential.