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  1. Home
  2. /Conversion
  3. /Light & Radiation Converters
  4. /Frequency Wavelength Converter

Frequency Wavelength Converter

Calculator

Results

Converted Value

299,792,457.99999994

Frequency (Hz)

1,000,000,000

Hz

Wavelength (m)

0.299792458

m

Results

Converted Value

299,792,457.99999994

Frequency (Hz)

1,000,000,000

Hz

Wavelength (m)

0.299792458

m

The Frequency Wavelength Converter converts between electromagnetic wave frequency and wavelength in both directions. Using the fundamental relationship λ = c / f (where c = 299,792,458 m/s is the speed of light in vacuum), this converter handles radio waves, microwaves, infrared, visible light, ultraviolet, and X-rays.

Electromagnetic radiation can be described by either its frequency (how many cycles per second) or its wavelength (the distance of one complete cycle). These are inversely proportional through the speed of light: higher frequency means shorter wavelength, and vice versa.

The electromagnetic spectrum spans an enormous range: radio waves (kHz–GHz, meters to kilometers), microwaves (1–300 GHz, mm to cm), infrared (300 GHz–400 THz, 0.75–300 µm), visible light (400–790 THz, 380–750 nm), ultraviolet (790 THz–30 PHz, 10–380 nm), and X-rays (>30 PHz, <10 nm).

This converter is essential for RF engineering (antenna design, where antenna length relates to wavelength), optics (specifying laser and LED wavelengths), spectroscopy (identifying molecular absorption lines), and telecommunications (channel frequency planning).

The speed of light c = 299,792,458 m/s is an exact constant defined by the SI. In media other than vacuum, the effective speed is c/n where n is the refractive index, so wavelength changes but frequency does not.

Visual Analysis

How It Works

The fundamental formula: λ = c / f and f = c / λ, where c = 299,792,458 m/s (exact). The converter first normalizes the input to Hz (if frequency) or meters (if wavelength), converts to Hz, then converts to the target unit. For wavelength outputs, it computes λ = c / f_Hz, then scales to the desired unit.

Understanding Your Results

Visible light spectrum: violet 380–450 nm (670–790 THz), blue 450–495 nm, green 495–570 nm, yellow 570–590 nm, orange 590–620 nm, red 620–750 nm (400–484 THz).

Worked Examples

WiFi Frequency to Wavelength

Inputs

value2.4
from unitGHz
to unitcm

Results

result12.491352

2.4 GHz WiFi = 12.49 cm wavelength

Green Light to Frequency

Inputs

value532
from unitnm
to unitTHz

Results

result563.708568

532 nm green laser = 563.7 THz

Frequently Asked Questions

Wavelength = speed of light / frequency (λ = c/f). They are inversely proportional: higher frequency means shorter wavelength.

The speed of light in vacuum is exactly 299,792,458 m/s. This is a defined constant in the SI system, used to define the meter.

Visible light spans 380-750 nm (790-400 THz). Violet is shortest (~380 nm), red is longest (~750 nm).

WiFi operates at 2.4 GHz (12.5 cm wavelength) and 5 GHz (6 cm) bands. WiFi 6E adds the 6 GHz band. WiFi 7 uses all three bands.

Wavelength (cm) = 29.9792458 / frequency (GHz). For example, 5 GHz = 5.996 cm wavelength.

An angstrom (Å) = 10^-10 m = 0.1 nm. It is commonly used for atomic-scale measurements, X-ray wavelengths, and bond lengths. Not an SI unit but widely used.

Yes, wavelength changes: λ_medium = λ_vacuum / n, where n is the refractive index. Frequency remains constant. In glass (n=1.5), visible light wavelengths are 2/3 of their vacuum values.

5G uses multiple bands: sub-6 GHz (3.5-6 GHz, wavelength 5-8.6 cm) and mmWave (24-47 GHz, wavelength 6.4-12.5 mm).

A half-wave dipole antenna should be approximately λ/2 in length. For 2.4 GHz WiFi (λ = 12.5 cm), a half-wave dipole is about 6.25 cm long.

The electromagnetic spectrum ranges from radio waves (longest wavelength, lowest frequency) through microwaves, infrared, visible light, ultraviolet, X-rays, to gamma rays (shortest wavelength, highest frequency). All travel at the speed of light.

Sources & Methodology

BIPM SI Brochure (2019) — speed of light definition; ITU Radio Regulations; CIE — visible spectrum; NIST Fundamental Physical Constants
R

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