Frequency Wavelength / nm → Hz
Convert Wavelength in nanometers to Hertz
Convert electromagnetic frequency and wavelength with an explicit refractive index. Convert Wavelength in nanometers (nm) to Hertz (Hz). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Hertz to Wavelength in nanometers →
How to convert wavelength in nanometers to hertz
Frequency times wavelength equals c/n, where c is exactly 299792458 m/s. Tables assume vacuum (n = 1). Supply the phase refractive index for your medium and frequency; dispersion and acoustic waves need other models.
Use x for the value in nm, b for the intermediate value in Hz, and y for the result in Hz.
b = 299792458000000000 ÷ (n × x); y = b ÷ 1
Here n = 1 (vacuum). Static examples and tables assume vacuum; changing n in the calculator updates its result only.
Worked examples
10 nm ≈ 29979245800000000 Hz
Step 1: 299792458000000000 ÷ (n × 10) ≈ 29979245800000000 Hz.
Step 2: 29979245800000000 ÷ 1 ≈ 29979245800000000 Hz.20 nm ≈ 14989622900000000 Hz
Step 1: 299792458000000000 ÷ (n × 20) ≈ 14989622900000000 Hz.
Step 2: 14989622900000000 ÷ 1 ≈ 14989622900000000 Hz.
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About Wavelength in nanometers
Wavelength in nanometers relates inversely to Hertz. The base value is 299792458000000000 ÷ (n × x), where x is the numerical value in nm and n is the phase refractive index. A zero or negative reciprocal input is outside this calculator’s physical domain.
About Hertz
Hertz (Hz) measures frequency wavelength under the conventions above. The base value in Hz is (x × 1), where x is the numerical value in Hz. Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Wavelength in nanometers to hertz reference table
| Wavelength in nanometers (nm) | Hertz (Hz) |
|---|---|
| 1 | 299792458000000000 |
| 5 | 59958491600000000 |
| 10 | 29979245800000000 |
| 25 | 11991698320000000 |
| 50 | 5995849160000000 |
| 100 | 2997924580000000 |
| 1000 | 299792458000000 |
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