How to Convert Gigajoules to Electronvolts
To convert an energy measurement from gigajoules to electronvolts, multiply the energy value by the conversion factor. Since one gigajoule is equal to 6.2415 × 1027 electronvolts, you can use this formula:
The energy in electronvolts is equal to the gigajoules multiplied by 6.2415 × 1027.
Using the formula: electronvolts = gigajoules × 6.2415 × 1027
electronvolts = 5 GJ × 6.2415 × 1027 = 3.1208E+28 eV
Therefore, 5 gigajoules equals 3.1208E+28 electronvolts.
How Many Electronvolts Are in a Gigajoule?
There are 6.2415 × 1027 electronvolts in one gigajoule.
What Is a Gigajoule?
The gigajoule (symbol: GJ) is a metric unit of energy equal to one billion (109) joules. It is used for measuring large quantities of energy in industrial, commercial, and utility contexts. In the natural gas industry, energy content is often expressed in gigajoules. One cubic metre of natural gas contains approximately 0.0373 GJ of energy, and natural gas is sometimes priced per gigajoule in countries like Canada and Australia. One gigajoule is roughly equivalent to 277.8 kWh of electricity, 26.8 litres of gasoline, or 23.4 kilograms of coal. An average North American household consumes about 100–120 GJ of total energy per year (including electricity, heating, and transportation). In power generation, the gigajoule is used to express the fuel energy input to power plants and to calculate thermal efficiency. A large coal-fired power plant might consume several hundred gigajoules of fuel per hour.
One gigajoule is equal to:
- 1,000,000,000 joules (J)
- 1,000 megajoules (MJ)
- 277,778 watt-hours (Wh)
- 277.778 kilowatt-hours (kWh)
- 0.277778 megawatt-hours (MWh)
- 947,817 BTU
- 0.947817 MMBTU
What Is a Electronvolt?
The electronvolt (symbol: eV) is a unit of energy equal to approximately 1.602176634 × 10−19 joules. It is defined as the amount of kinetic energy gained by a single electron when it accelerates through an electric potential difference of one volt. Since the 2019 redefinition of SI units, the electronvolt has an exact value in joules: 1 eV = 1.602176634 × 10−19 J (exact). This follows from the exact definition of the elementary charge e = 1.602176634 × 10−19 coulombs. The electronvolt is the standard unit of energy in atomic physics, solid-state physics, and chemistry at the molecular level. Typical energies in eV include: ionization energy of hydrogen (13.6 eV), visible light photon energies (1.65–3.26 eV), chemical bond energies (1–10 eV per bond), and the band gap of silicon (1.12 eV). The electronvolt is also used as a unit of mass in particle physics through Einstein’s mass–energy equivalence (E = mc²). The electron mass is 0.511 MeV/c², the proton mass is 938.3 MeV/c², and the Higgs boson mass is about 125 GeV/c².
One electronvolt is equal to:
- 1.602 × 10−19 joules (J)
- 0.001 kiloelectronvolts (keV)
- 10−6 megaelectronvolts (MeV)
- 3.827 × 10−20 calories (cal)
- 4.45 × 10−23 watt-hours (Wh)
- 1.519 × 10−22 BTU
Understanding Energy Units
Energy is a fundamental physical quantity that represents the capacity to do work or produce heat. It is conserved in all physical processes (the first law of thermodynamics) and can be converted from one form to another — mechanical, thermal, electrical, chemical, nuclear, and radiant energy are all interconvertible.
The wide variety of energy units reflects the historical development of different branches of science and engineering, each of which developed its own preferred units before the adoption of the International System of Units (SI).
Major Unit Families
- SI / Metric units: The joule (J) is the SI unit of energy, with standard metric prefixes (kJ, MJ, GJ). The watt-second (Ws) is identical to the joule. Watt-hours (Wh), kilowatt-hours (kWh), and megawatt-hours (MWh) combine power (watts) with time.
- Calorie-based units: The calorie (cal), kilocalorie (kcal), and megacalorie (Mcal) originated in thermochemistry. The kilocalorie is widely used in nutrition as the “food Calorie.”
- British / Imperial units: The British thermal unit (BTU) and its multiples (MMBTU, therm, quad) are used primarily in the US for HVAC, natural gas, and national energy statistics.
- Atomic-scale units: The electronvolt (eV) and its multiples (keV, MeV) are used in atomic, nuclear, and particle physics for the extremely small energies of individual particles.
Energy in Everyday Life
- Nutrition: Food energy is measured in kilocalories (kcal) or kilojoules (kJ). A typical adult needs about 2,000–2,500 kcal (8,400–10,500 kJ) per day.
- Electricity: Household electricity consumption is measured in kilowatt-hours (kWh). An average US home uses about 900–1,000 kWh per month.
- Heating: Natural gas consumption is measured in therms or MMBTU. A US home might use 500–1,000 therms per year for heating.
- Transportation: Gasoline contains about 120,000 BTU or 34 MJ per litre. One gallon of gasoline contains about 33.7 kWh of energy.
Converting Between Energy Units
All energy units measure the same physical quantity, so converting between them is simply a matter of multiplying by the appropriate conversion factor. The factor is the ratio of how many joules one unit of the source contains divided by how many joules one unit of the target contains.
For very large or very small conversion factors, results are often expressed in scientific notation (e.g., 6.2415 × 1018 eV per joule). This is particularly common when converting between atomic-scale units (electronvolts) and everyday units (joules, BTU, calories).
Tips for Energy Conversions
- The joule and watt-second are exactly the same unit (1 J = 1 Ws). The different names are used in different contexts.
- For SI metric conversions (J, kJ, MJ, GJ), each prefix step is a factor of 1,000. The same applies to cal/kcal/Mcal, Wh/kWh/MWh, and eV/keV/MeV.
- The kilocalorie (kcal) used in nutrition is often written as “Calorie” with a capital C. When a food label says 200 Calories, it means 200 kcal = 200,000 cal.
- One kilowatt-hour equals exactly 3,600,000 joules (1 kW × 3,600 seconds). This is useful for converting between electrical and metric energy units.
- One BTU ≈ 1,055 joules ≈ 252 calories. These rough equivalences are useful for quick mental conversions.
- One therm = 100,000 BTU exactly. One MMBTU = 1,000,000 BTU exactly. One quad = 1015 BTU exactly.
- The electronvolt is an extremely small unit compared to everyday energy: 1 eV ≈ 1.6 × 10−19 J. It is used only for atomic-scale energies.
- To calculate electricity cost, multiply kWh × price per kWh. To calculate gas heating cost, multiply therms × price per therm.
Gigajoules to Electronvolts Conversion Table
The following table shows conversions from gigajoules to electronvolts.
| Gigajoules | Electronvolts (eV) |
|---|---|
| 1.0000E-27 GJ | 6.24151 |
| 2.0000E-27 GJ | 12.483 |
| 3.0000E-27 GJ | 18.7245 |
| 4.0000E-27 GJ | 24.966 |
| 5.0000E-27 GJ | 31.2075 |
| 6.0000E-27 GJ | 37.4491 |
| 7.0000E-27 GJ | 43.6906 |
| 8.0000E-27 GJ | 49.9321 |
| 9.0000E-27 GJ | 56.1736 |
| 1.0000E-26 GJ | 62.4151 |
| 2.0000E-26 GJ | 124.83 |
| 3.0000E-26 GJ | 187.245 |
| 4.0000E-26 GJ | 249.66 |
| 5.0000E-26 GJ | 312.075 |
| 6.0000E-26 GJ | 374.491 |
| 7.0000E-26 GJ | 436.906 |
| 8.0000E-26 GJ | 499.321 |
| 9.0000E-26 GJ | 561.736 |
| 1.0000E-25 GJ | 624.151 |
| 2.0000E-25 GJ | 1,248.3 |
| 3.0000E-25 GJ | 1,872.45 |
| 4.0000E-25 GJ | 2,496.6 |
| 5.0000E-25 GJ | 3,120.75 |
| 6.0000E-25 GJ | 3,744.91 |
| 7.0000E-25 GJ | 4,369.06 |
| 8.0000E-25 GJ | 4,993.21 |
| 9.0000E-25 GJ | 5,617.36 |
| 1.0000E-24 GJ | 6,241.51 |