Need a quick unit conversion from wavelength (nm) to photon energy (eV)? Need to convert flux (ph/s) to average power (mW)? Simply entered the known value in the boxes below, and the calculator will provide the equivalent value in the appropriate unit.

The energy of light (or photon energy), E, is inversely proportional to the wavelength by the equation:

E = hc/l (equation 1)

where h is Planck's constant (6.6261 x 10^{-34} J*s) and c is the speed of light (2.9979 x 10^{8} m/s).

Photon energy can be expressed using any unit of energy such as the electronvolt (eV) or the Joule (J). For short wavelength sources in the EUV to X-ray range, researchers often discuss photon energies in units of eV (or keV for hard X-rays) out of convenience. The International System of Quantities (SI) have defined 1 eV to the exact value of 1.602176634×10^{−19} J. Thus, equation 1 above can be rewritten for photon energy in eV and wavelength in nm as:

E (eV) = 1239.8 / l (nm) (equation 2)

Power (P) is the rate of energy transfer with the SI unit of 1 Watt = 1 J/s. The power of short wavelength light sources in the EUV to X-ray range are often expressed as photon flux (F) in the units of photons per second (ph/s). Average power is related to flux and photon energy by:

P = F × E (equation 3)

P = F × hc/l (equation 4)

P (mW) = 1.989 × 10^{-10} × F/l (nm) (equation 5)

For any given flux and wavelength (in nm), equation 5 can be used to calculate the corresponding average power (in mW).

Now that VUV to EUV to SXR photons are becoming more readily available to everyday Physicists and Chemists, what ideas do you have in mind for your research?? Check out our Applications Page, to see what others are doing...

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