Wavelength Calculator
Calculate wavelength from frequency or frequency from wavelength using λ = v/f. Identify EM spectrum band position, compute antenna lengths (λ/4 and λ/2), and customize wave speed. Default: speed of light for electromagnetic waves. Free, private, in-browser.
Conversion Mode
EM Spectrum Position
Wavelength Formulas
λ = v / f | f = v / λ
ω = 2πf (angular frequency, rad/s)
k = 2π / λ (wave number, rad/m)
Antenna: λ/4 = quarter-wave | λ/2 = half-wave
How the Wavelength Calculator Works
This wavelength calculator uses the fundamental wave equation lambda = v/f to convert between wavelength and frequency for any type of wave. By default, the wave speed is set to the speed of light in vacuum (299,792,458 m/s) for electromagnetic wave calculations. You can change the wave speed to calculate wavelengths for sound waves in air (about 343 m/s), sound in water (about 1,480 m/s), or any other medium. Enter a frequency in Hz, kHz, MHz, GHz, or THz and the calculator instantly computes the wavelength. Switch to wavelength-to-frequency mode and enter a wavelength in km, m, cm, mm, micrometers, nanometers, or picometers to find the corresponding frequency. The calculator also determines angular frequency, wave number, and antenna lengths for RF engineering applications. All processing runs entirely in your browser with no data sent to any server.
Electromagnetic Spectrum Classification
The electromagnetic spectrum spans an enormous range of frequencies and wavelengths. Radio waves have wavelengths from kilometers down to about 1 millimeter, used for broadcasting, communications, and radar. Microwaves range from 1 millimeter to 1 meter in wavelength, powering everything from microwave ovens to satellite links and 5G networks. Infrared radiation spans from about 700 nanometers to 1 millimeter and is used in thermal imaging, remote controls, and fiber optic communications. Visible light occupies a narrow band from approximately 380 to 700 nanometers — the only portion of the EM spectrum detectable by the human eye. Ultraviolet radiation ranges from 10 to 380 nanometers and is responsible for sunburn and fluorescence. X-rays span 0.01 to 10 nanometers, essential for medical imaging. Gamma rays have the shortest wavelengths below 0.01 nanometers and the highest energies, produced by nuclear reactions and certain astronomical events. This calculator identifies which band your frequency or wavelength falls into and shows its position on a visual spectrum bar.
Antenna Length and RF Engineering
In radio frequency engineering, antenna dimensions are directly related to the wavelength of the signal being transmitted or received. A quarter-wave monopole antenna has a length of lambda divided by 4, while a half-wave dipole antenna measures lambda divided by 2. For example, an FM radio station broadcasting at 100 MHz has a wavelength of about 3 meters, making a quarter-wave antenna approximately 75 centimeters long. A Wi-Fi antenna at 2.4 GHz uses a wavelength of about 12.5 centimeters, so a quarter-wave antenna is roughly 3.1 centimeters. This calculator computes both quarter-wave and half-wave antenna lengths automatically, helping RF engineers, ham radio operators, and hobbyists design antennas without manual calculation. The antenna length values assume free-space wavelength — actual antenna elements may be slightly shorter due to velocity factor of the conductor material.
Sound Waves and Custom Wave Speed
While this calculator defaults to the speed of light for EM waves, you can enter any wave speed to calculate wavelengths for other wave types. Sound travels at approximately 343 meters per second in air at room temperature, about 1,480 m/s in water, and roughly 5,960 m/s in steel. A 440 Hz concert A note has a wavelength of about 0.78 meters in air. Ultrasound used in medical imaging typically operates at 2 to 18 MHz with wavelengths in the millimeter range in tissue. Seismic waves travel at several kilometers per second through rock, with wavelengths that can span kilometers. By adjusting the wave speed field, this calculator handles any wave propagation scenario — acoustic, seismic, electromagnetic, or mechanical — making it a versatile tool for physicists, engineers, musicians, and students.