1. What is the Photon Energy to Frequency Equation?

The equation \( f = \frac{E}{h} \) relates the frequency of a photon to its energy, where E is the energy of the photon and h is Planck's constant. This fundamental relationship in quantum mechanics connects the particle and wave properties of light.

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

Where:

• \( f \) — Frequency in hertz (Hz)
• \( E \) — Photon energy in joules (J)
• \( h \) — Planck's constant (6.62607015 × 10⁻³⁴ J·s)

Explanation: The frequency of a photon is directly proportional to its energy and inversely proportional to Planck's constant.

3. Importance of Frequency Calculation

Details: Calculating photon frequency is essential in quantum physics, spectroscopy, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter photon energy in joules and Planck's constant in J·s (default value is provided). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency (E = hf).

Q2: What are typical photon energies?
A: Visible light photons have energies around 10⁻¹⁹ J, while X-ray photons might be 10⁻¹⁵ J or higher.

Q3: How is this related to wavelength?
A: Frequency can be converted to wavelength using \( \lambda = \frac{c}{f} \), where c is the speed of light.

Q4: Why is frequency important?
A: Frequency determines the photon's position in the electromagnetic spectrum and its interaction with matter.

Q5: Can this be used for all photons?
A: Yes, this relationship holds for all photons across the entire electromagnetic spectrum.