Hz to cm⁻¹ Calculator

Convert frequency (Hz) to wavenumber (cm⁻¹) for spectroscopy, infrared analysis, and molecular physics. Supports bidirectional conversion with multiple frequency units.

Spectroscopy Calculator:

Convert between frequency and wavenumber units using the speed of light. Essential for IR spectroscopy, Raman spectroscopy, and quantum mechanics calculations.

Hz to cm⁻¹ Converter

Mode

Enter frequency value

EM Region
Infrared
Wavelength: ~300 nm - 1 mm

Conversion Results

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Results will display here

Hz to cm⁻¹ Conversion

Converting frequency (Hz) to wavenumber (cm⁻¹) is a fundamental calculation in spectroscopy and molecular physics. Wavenumber represents the number of wave cycles per unit distance and is widely used in infrared (IR) and Raman spectroscopy.

The Conversion Formula

The relationship between frequency and wavenumber is derived from the wave equation:

Conversion Formula
ν̃ = ν / c
Where ν̃ is wavenumber (cm⁻¹), ν is frequency (Hz), and c is the speed of light (2.998 × 10¹⁰ cm/s)
Practical Formula
cm⁻¹ = Hz ÷ (2.998 × 10¹⁰)
cm⁻¹ = THz × 33.356

Hz to cm⁻¹ Reference Table

Frequency Wavenumber (cm⁻¹) Wavelength EM Region
1 THz 33.36 300 µm Far IR
3 THz 100.07 100 µm Far IR
10 THz 333.56 30 µm Mid IR
30 THz 1000.7 10 µm Mid IR
100 THz 3335.6 3 µm Near IR
300 THz 10007 1 µm Near IR
500 THz 16678 600 nm Visible
1000 THz 33356 300 nm UV