1. What is Planck's Equation?

Planck's equation describes the energy of a photon based on its frequency. This fundamental relationship in quantum mechanics shows that energy is quantized and proportional to frequency.

2. How Does the Calculator Work?

The calculator uses Planck's equation:

Where:

• \( E \) — Energy of photon (Joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( f \) — Frequency of the photon (Hz)

Explanation: The energy of a single photon is directly proportional to its frequency, with Planck's constant as the proportionality factor.

3. Importance of Energy per Photon Calculation

Details: Calculating photon energy is essential in quantum physics, spectroscopy, photochemistry, and understanding light-matter interactions.

4. Using the Calculator

Tips: Enter the frequency in Hertz (Hz). The frequency must be a positive number. The calculator will compute the energy of a single photon at that frequency.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.

Q2: Can I calculate energy from wavelength instead?
A: Yes, using the relation \( E = hc/\lambda \), where c is speed of light and λ is wavelength.

Q3: What are typical photon energies?
A: Visible light photons have energies around 10⁻¹⁹ J (or a few eV). Higher frequencies (UV, X-rays) have more energetic photons.

Q4: Why is photon energy quantized?
A: This is a fundamental principle of quantum mechanics - energy is transferred in discrete packets (quanta) rather than continuously.

Q5: How precise is this calculation?
A: The calculation is theoretically exact for a single photon, using the most accurate value of Planck's constant.