Electromagnetic Wave Calculator

Wavelength and frequency are linked by c = f x lambda, where c (the speed of light) is a fixed constant. Rearranged, Wavelength = c / Frequency -- since c does not change, Wavelength and Frequency move in OPPOSITE directions: as Frequency climbs, Wavelength must shrink to keep their product equal to the speed of light. This is why gamma rays (extremely high frequency) have wavelengths smaller than an atomic nucleus, while radio waves (low frequency) can have wavelengths measured in meters or kilometers.

Photon Energy INCREASES directly with Frequency, following Planck's relation E = h x f (Planck's constant times frequency). This is the opposite relationship from wavelength, which decreases as frequency rises. The two facts together explain why higher-frequency, shorter-wavelength radiation like X-rays and gamma rays carries far more energy per photon than lower-frequency, longer-wavelength radio waves.

The calculator compares the entered Frequency against standard band boundaries: below 3x10^3 Hz is classified ELF, up to 3x10^9 Hz is radio waves, up to 3x10^11 Hz is microwaves, up to 4.3x10^14 Hz is infrared, up to 7.5x10^14 Hz is visible light, up to 3x10^16 Hz is ultraviolet, up to 3x10^19 Hz is X-rays, and anything higher is classified as gamma rays. These boundaries are conventional divisions of a continuous spectrum, not physically sharp cutoffs.

For very high frequencies (X-ray and gamma-ray territory), the Wavelength figure switches to picometers (pm) once the raw value drops below one nanometer, since displaying such a tiny distance in meters would require many leading zeros. At the other extreme, very low frequencies produce wavelengths reported in kilometers. Because the unit is always printed alongside the number (e.g. "0.5 pm" versus "500 pm"), don't compare the bare digits across a unit change -- the underlying physical relationship (Wavelength = speed of light / Frequency) is unchanged; only the display unit adapts to keep the number readable.