Hz to Joules Calculator

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This Hz to Joules Calculator is a quick and accurate tool that converts frequency (in hertz) into energy (in joules and electron volts). It uses Planck’s equation E = h⋅f, where E is energy, h is Planck’s constant, and f is frequency. Simply enter a frequency value and choose its unit (Hz, kHz, MHz, or GHz) to get instant energy results.

Whether you’re studying quantum physics or working on electronics projects, this calculator makes energy-frequency conversions effortless. It displays results in both scientific notation and electron volts (eV) for clarity and precision.

What is the relationship between Hz and Joules?

The relationship between frequency and energy comes from Planck’s Equation, which is used in quantum physics to determine the energy of a photon:

Formula:

E = h⋅f

Where:

• E = energy in Joules (J)
• h = Planck’s constant = 6.62607015 × 10⁻³⁴ J·s
• f = frequency in Hertz (Hz)

Conversion (Hz → Joules)

1. Identify the frequency (f) in hertz.
2. Multiply it by Planck’s constant (h).
3. The result is the energy in joules.

Example 1: Convert 1 Hz to Joules

E = 6.62607015 × 10^−34 × 1 = 6.62607015 × 10^−34 J

So, 1 Hz = 6.626 × 10⁻³⁴ Joules

Example 2: Convert 1 GHz (1 × 10⁹ Hz) to Joules

E = 6.62607015 × 10^−34 × 1 × 10^9 = 6.62607015 × 10^−25 J

So, 1 GHz = 6.626 × 10⁻²⁵ Joules

Convert Joules to Electron Volts (eV)

Since some energy values are easier to interpret in electron volts, use this conversion:

1 eV = 1.602176634 × 10^−19 J

To convert joules to electron volts:

EeV​ = EJ​​ / 1.602176634 × 10^−19

Example 3: 1 THz (1 × 10¹² Hz) to Joules and eV

E = 6.62607015 × 10^−34 × 1 × 10^12

= 6.62607015 × 10^−22 J

EeV​ = 6.62607015 × 10^−22 / 1.602176634×10^−19

​≈ 0.00414 eV