Frequency Wavelength Converter
Convert between hertz (Hz), terahertz (THz), wavelength in meters, nanometers, and other frequency and wavelength units with scientific precision.
⚠️ Important: Frequency and wavelength conversions depend on the medium and wave type. This tool assumes electromagnetic waves in vacuum (speed of light = 299,792,458 m/s). Always verify assumptions for critical applications.
Frequency and Wavelength Units Explained
Hertz (Hz)
The SI unit of frequency, defined as one cycle per second. 1 Hz = 1 cycle/second. Named after physicist Heinrich Hertz, fundamental to measuring electromagnetic and acoustic wave frequencies.
Common uses: Radio frequencies, audio frequencies, AC power frequencies, computer clock speeds, and all periodic phenomena.
Wavelength in Metres (m)
The SI unit of wavelength, the distance between successive peaks or troughs of a wave. Related to frequency by: wavelength = c / frequency, where c = 299,792,458 m/s (speed of light in vacuum).
Application: Optical wavelengths, RF wavelengths, and all wave-based measurements in physics.
Wavelength in Nanometres (nm)
One billionth of a meter. 1 nm = 10⁻⁹ m. Commonly used for visible light, UV, and X-ray wavelengths.
Typical ranges: Visible light: 380-700 nm; UV: 10-380 nm; Infrared: 700 nm - 1 mm
Terahertz (THz)
One trillion hertz. 1 THz = 10¹² Hz. Associated with terahertz radiation, infrared frequencies, and emerging imaging technologies.
Application: Terahertz spectroscopy, security imaging, materials analysis, and emerging wireless communications.
Gigahertz (GHz)
One billion hertz. 1 GHz = 10⁹ Hz. Common frequency for microwave ovens, cell phones, WiFi, and microprocessors.
Typical examples: WiFi: 2.4-5.8 GHz; Cell phones: 0.8-2.6 GHz; Microwave ovens: 2.45 GHz; Computer CPUs: 2-5 GHz
Megahertz (MHz)
One million hertz. 1 MHz = 10⁶ Hz. Common for radio broadcasts, radar, and older computer specifications.
Typical examples: FM radio: 88-108 MHz; AM radio: 520-1,600 kHz; TV broadcasts: 54-216 MHz
Frequency-Wavelength Relationship
For electromagnetic waves in vacuum: f × λ = c, where:
- f = frequency (Hz)
- λ = wavelength (m)
- c = speed of light = 299,792,458 m/s
Key principle: Higher frequency means shorter wavelength, and vice versa. This inverse relationship is fundamental to all wave physics.
Compton Wavelength
A quantum mechanical wavelength associated with elementary particles. The Compton wavelength equals h / (m × c), where h is Planck's constant, m is particle mass, and c is the speed of light.
Values: Electron: ~2.43 pm; Proton: ~1.32 fm; Neutron: ~1.32 fm. Used in quantum mechanics and particle physics.
Electromagnetic Spectrum Overview
- Radio waves: <1 mm to several km wavelength; 3 Hz to 300 GHz frequency
- Microwaves: 1 mm to 1 m; 300 MHz to 300 GHz
- Infrared: 700 nm to 1 mm; 300 GHz to 430 THz
- Visible light: 380-700 nm; 430-770 THz
- Ultraviolet: 10-380 nm; 790 THz to 30 PHz
- X-rays: 0.01-10 nm; 30 PHz to 30 EHz
- Gamma rays: <0.01 nm; >30 EHz