Wavelength and frequency calculator

Wave speed is wavelength times frequency. For light in vacuum that speed is exactly 299 792 458 m/s by definition.

MHz
m/s
Wavelength
2.997 924 58m
= Exact Wavelength and frequency
Half wavelength
1.498 962 3
Quarter wavelength
0.749 481 15
Period
1e-8 s
Photon energy
6.6260702e-26
Photon energy
0.000 000 413 566 77 eV
Show the working
  1. Frequency = 100
  2. Wave speed = 299 792 000
  3. f_hz = 100 * 1e6 = 100 000 000
  4. Wavelength = 299 792 000 / 100 000 000 = 2.997 92
  5. Quarter wavelength = 2.997 92 / 4 = 0.749 481
  6. Half wavelength = 2.997 92 / 2 = 1.498 96
  7. Photon energy = h * 100 000 000 = 6.62607e-26
  8. Photon energy = 6.62607e-26 / qe = 0.000 000 413 567
  9. Period = 1 / 100 000 000 = 1e-8

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • v = f lambda
    • E = h f, with h exact at 6.626 070 15 x 10^-34 J s

    Both c and h are exact by definition under the 2019 SI, so a wavelength from a frequency in vacuum is an exact rational number.

    Quarter and half wavelengths matter for antennas: a quarter-wave whip for 100 MHz is 749.5 mm.

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