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  4. /Joules to Electronvolts Converter

Joules to Electronvolts Converter

Calculator

Results

Electronvolts

6.241509

eV

Kiloelectronvolts

0.006241509

keV

Megaelectronvolts

0.000006241509

MeV

Gigaelectronvolts

0.000000006241509

GeV

Results

Electronvolts

6.241509

eV

Kiloelectronvolts

0.006241509

keV

Megaelectronvolts

0.000006241509

MeV

Gigaelectronvolts

0.000000006241509

GeV

The Joules to Electronvolts Converter converts energy from joules (J) to electronvolts (eV) and kiloelectronvolts (keV) using the exact conversion factor 1 eV = 1.602176634 × 10⁻¹⁹ J. This converter is essential for physicists, materials scientists, and engineers working at the atomic and molecular scale.

When working in SI units (joules), energies at the quantum scale involve unwieldy numbers with many decimal places. Converting to electronvolts brings these values into a human-readable range. For example, the energy of a visible light photon is about 3 × 10⁻¹⁹ J — an opaque number — but in electronvolts, it is simply about 2 eV, which is immediately intuitive to a physicist.

The joule-to-eV conversion is the inverse of the eV-to-joule conversion: divide by the elementary charge (1.602176634 × 10⁻¹⁹ C). Since this value is exact in the 2019 SI system, the conversion introduces no uncertainty. This is particularly important in precision spectroscopy and metrology.

Applications include converting photon energies calculated from wavelength (E = hc/lambda, in joules) to electronvolts, translating thermal energies (kT) to eV for plasma physics, converting computed molecular orbital energies from Hartrees or joules to eV, and expressing ionization potentials and band gaps in the standard eV format.

Our converter also provides keV output, useful for X-ray spectroscopy where photon energies typically range from 0.1 to 100 keV, and for nuclear physics where decay energies are in the keV to MeV range.

Visual Analysis

How It Works

The formula: eV = joules ÷ 1.602176634 × 10⁻¹⁹. For keV: keV = joules ÷ 1.602176634 × 10⁻¹⁶. Equivalently, multiply joules by 6.241509074 × 10¹⁸ to get eV.

Understanding Your Results

Conversion check: kT at 300 K = 4.142 × 10⁻²¹ J = 0.02585 eV. A 1-nm X-ray photon has energy hc/lambda = 1.989 × 10⁻¹⁶ J = 1240 eV = 1.24 keV.

Worked Examples

Thermal Energy (room temp)

Inputs

joules4.142e-21

Results

ev0.02586
kev0.000026

kT at 300 K ≈ 0.026 eV

UV Photon

Inputs

joules5e-19

Results

ev3.1213
kev0.003121

UV photon ≈ 3.12 eV

Frequently Asked Questions

Divide joules by 1.602176634 × 10⁻¹⁹. For example, 3.2 × 10⁻¹⁹ J ÷ 1.602 × 10⁻¹⁹ ≈ 2.0 eV.

1 J = 6.241509074 × 10¹⁸ eV. Equivalently, divide by 1.602176634 × 10⁻¹⁹ J/eV.

Yes. Since 2019, the elementary charge is defined as exactly 1.602176634 × 10⁻¹⁹ C, making 1 eV exactly that many joules.

Joules give unwieldy numbers at quantum scales (like 10⁻¹⁹ J). Electronvolts provide human-readable values: a visible photon is ~2 eV instead of ~3×10⁻¹⁹ J.

1 Hartree = 27.2114 eV = 4.3597 × 10⁻¹⁸ J. Hartrees are the natural unit in quantum chemistry calculations.

1 J = 6.242 × 10¹⁸ eV = 6.242 EeV (exa-electronvolts). This is an enormous energy at the particle scale.

E(eV) = 1240 / lambda(nm). So a 500 nm photon has energy 1240/500 = 2.48 eV.

Kiloelectronvolts (keV) are used for X-ray photon energies, radioactive decay energies, and electron beam energies in electron microscopy.

1 erg = 10⁻⁷ J = 6.242 × 10¹¹ eV. Ergs are the CGS energy unit, still used in some astrophysics literature.

Room temperature (20°C = 293 K) corresponds to kT ≈ 0.0253 eV. At 300 K, kT ≈ 0.0259 eV. This sets the scale for thermal excitations.

Sources & Methodology

BIPM SI Brochure, 9th edition (2019); CODATA 2018 Fundamental Constants; NIST
R

Roboculator Team

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