Frequency to Wavelength Converter

Convert between frequency (Hz to THz) and wavelength (m to nm) instantly. Essential for RF engineers, optical designers, and physics applications.

Frequency → Wavelength
Wavelength → Frequency
MHz
Hz
kHz
MHz
GHz
THz
m
cm
mm
μm
nm
pm
Select output wavelength unit (vacuum)
Radio Microwave IR Visible UV X-Ray γ-Ray
50 Hz (AC)
1 kHz (Audio)
100 MHz (FM)
2.4 GHz (WiFi)
5 GHz (WiFi)
500 THz (Green)
500 nm (Green)
10 cm (S-band)
Conversion Result
100 MHz = 2.998 m
c = 299,792,458 m/s
Vacuum wavelength (λ) = c / f
Input Value
100 MHz
Frequency Hz
Converted Value
2.998 m
Wavelength
Equivalent in Other Units
Wavelength & Frequency Scale
Radio (km-m)
Microwave (m-mm)
IR (mm-μm)
Visible (nm)
UV (nm)
X-Ray (pm)
γ-Ray (fm)

Understanding Frequency & Wavelength

Frequency (f) and wavelength (λ) describe the same electromagnetic wave in complementary units. Frequency measures cycles per second (Hz), while wavelength is the spatial distance between wave peaks. They are inversely proportional via the speed of light: c = λ · f.

Core Formulas:

λ (m) = c / f (Hz)    c = 299,792,458 m/s

f (Hz) = c / λ (m)

1 THz = 10¹² Hz, 1 nm = 10⁻⁹ m

Electromagnetic Spectrum Reference

Band Frequency Range Wavelength Range Applications
Extremely Low Freq (ELF) 3–30 Hz 100,000–10,000 km Submarine communication
Radio (VLF, LF, MF, HF, VHF, UHF) 3 kHz – 3 GHz 100 km – 10 cm Broadcast, navigation, mobile
Microwave (SHF, EHF) 3–300 GHz 10 cm – 1 mm WiFi, radar, satellite
Infrared (IR) 300 GHz – 430 THz 1 mm – 700 nm Thermal imaging, remote control
Visible Light 430–750 THz 700–400 nm Human vision
Ultraviolet (UV) 750 THz – 30 PHz 400 nm – 10 nm Sterilization, fluorescence
X-Rays 30 PHz – 30 EHz 10 nm – 10 pm Medical imaging, crystallography
Gamma Rays > 30 EHz < 10 pm Astrophysics, cancer therapy

Practical Applications of Conversion

1

RF Antenna Design: Wavelength determines antenna size. Half-wave dipole length = λ/2. Converting frequency to wavelength helps engineers design antennas for specific bands (e.g., 2.4 GHz → 12.5 cm dipole).

2

Optical & Laser Systems: Laser wavelengths are specified in nm (e.g., 532 nm green). Converting to frequency (≈563 THz) is essential for nonlinear optics, Doppler shifts, and atomic transitions.

3

Radar & Remote Sensing: Radar systems use frequency bands (X-band: 8-12 GHz). Converting to wavelength (2.5-3.75 cm) determines resolution and hardware constraints.

Frequency ↔ Wavelength Quick Reference

Frequency Wavelength (vacuum) Band / Color
50 Hz 5996 km Power line
1 kHz 299.8 km Audio
1 MHz 299.8 m AM radio
100 MHz 2.998 m FM radio
1 GHz 29.98 cm Microwave
2.4 GHz 12.49 cm WiFi
5 GHz 5.996 cm WiFi
10 GHz 2.998 cm Radar (X-band)
100 GHz 2.998 mm Millimeter wave
1 THz 299.8 μm Far infrared
100 THz 2.998 μm Mid infrared
500 THz 599.6 nm Green light
750 THz 399.7 nm Violet
1 PHz 0.2998 nm X-ray

Calculator Features:

  • Bidirectional conversion (Frequency ↔ Wavelength)
  • Supports 5 frequency units (Hz, kHz, MHz, GHz, THz)
  • Supports 6 wavelength units (m, cm, mm, μm, nm, pm)
  • Real-time calculation with spectrum indicator
  • Shows equivalent values in multiple units
  • Quick‑reference buttons for common signals

Frequently Asked Questions

This converter assumes vacuum (or air with negligible error). For other media, divide the vacuum wavelength by the refractive index n (λ_medium = λ_vacuum / n). Frequency remains unchanged.

Since 1983, the meter is defined as the distance light travels in 1/299,792,458 second. Thus c is an exact constant by definition.

Use f = c / λ. For λ = 500 nm = 5e-7 m, f = 2.99792458e8 / 5e-7 ≈ 6e14 Hz = 600 THz. Our converter does this instantly.

This converter uses ordinary frequency f (cycles per second). Angular frequency ω = 2πf (rad/s). Wavelength relates only to f, not ω.