Photon energy
Photon energy is the
Photon energy can be expressed using any energy unit. Among the units commonly used to denote photon energy are the electronvolt (eV) and the joule (as well as its multiples, such as the microjoule). As one joule equals 6.24×1018 eV, the larger units may be more useful in denoting the energy of photons with higher frequency and higher energy, such as gamma rays, as opposed to lower energy photons as in the optical and radio frequency regions of the electromagnetic spectrum.
Formulas
Physics
Photon energy is directly proportional to frequency.[1]
- is energy (typically in joules)[2]
- is the Planck constant
- is frequency (typically in hertz)[2]
This equation is known as the
Additionally,
- E is photon energy
- λ is the photon's wavelength
- c is the speed of light in vacuum
- h is the Planck constant
The photon energy at 1 Hz is equal to 6.62607015×10−34 J, which is equal to 14.135667697×10−15 eV.
Electronvolt
Photon energy is often measured in electronvolts. To find the photon energy in electronvolt using the wavelength in micrometres, the equation is approximately
since = 1.239841984...×10−6 eV⋅m[3] where h is the Planck constant, c is the speed of light, and e is the elementary charge.
The photon energy of near infrared radiation at 1 μm wavelength is approximately 1.2398 eV.
Examples
An
Very-high-energy gamma rays have photon energies of 100 GeV to over 1 PeV (1011 to 1015 electronvolts) or 16 nJ to 160 μJ.[4] This corresponds to frequencies of 2.42×1025 Hz to 2.42×1029 Hz.
During photosynthesis, specific chlorophyll molecules absorb red-light photons at a wavelength of 700 nm in the photosystem I, corresponding to an energy of each photon of ≈ 2 eV ≈ 3×10−19 J ≈ 75 kBT, where kBT denotes the thermal energy. A minimum of 48 photons is needed for the synthesis of a single glucose molecule from CO2 and water (chemical potential difference 5×10−18 J) with a maximal energy conversion efficiency of 35%.
See also
- Electromagnetic radiation
- Electromagnetic spectrum
- Planck–Einstein relation
- Soft photon
References
- ^ "Energy of Photon". Photovoltaic Education Network, pveducation.org.
- ^ a b "6.3 How is energy related to the wavelength of radiation? | METEO 300: Fundamentals of Atmospheric Science".
- ^ "NIST table of fundamental physical constants". Retrieved 27 June 2023.
- ^ Sciences, Chinese Academy of. "Observatory discovers a dozen PeVatrons and photons exceeding 1 PeV, launches ultra-high-energy gamma astronomy era". phys.org. Retrieved 2021-11-25.