Example 1: Green light at 560 THz
- Convert 560 THz to Hz: 560 × 10¹² Hz = 5.6e14 Hz.
- λ = c / f ≈ 2.9979e8 m/s ÷ 5.6e14 Hz ≈ 5.35e−7 m.
- In nanometers: 5.35e−7 m × 10⁹ ≈ 535 nm, in the green portion of the visible spectrum.
science calculator
Convert electromagnetic frequency to wavelength in meters and nanometers using the speed of light.
For electromagnetic waves in vacuum, frequency f and wavelength λ are related by c = λ × f, where c is the speed of light in vacuum.
We use c = 299,792,458 meters per second by default. Rearranging gives wavelength λ = c ÷ f.
You enter frequency in hertz (cycles per second). Internally we compute λ in meters from this relationship.
To make results more useful for optics, we also convert meters to nanometers using 1 m = 10⁹ nm. This puts visible light (roughly 400–700 nm) and many laser lines into familiar units.
Because this is a simple analytic formula, the main requirement is that you enter frequency and interpret wavelength using consistent SI units.
λ = c / f, where c ≈ 2.99792458 × 10⁸ m/s in vacuum
Convert electromagnetic frequency to wavelength instantly using the speed of light in vacuum—ideal for RF design, antenna sizing, and optics homework.
Enter frequency in Hz (from kHz to THz) and see wavelength in meters and nanometers without manual unit conversions or mistakes.
Perfect for engineers, students, and hobbyists who need a fast λ = c / f conversion for everything from Wi‑Fi antennas to laser lines.
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This frequency-to-wavelength converter uses an ideal vacuum speed of light and is intended for educational and preliminary design purposes. It does not account for material properties, dispersion, or complex propagation effects. For high-precision engineering, safety-critical RF work, or scientific research, verify calculations with more detailed models and consult relevant standards or experts.