1. What is the Photon Energy Equation?

The photon energy equation E = h × f calculates the energy of a photon based on its frequency, where E is energy in joules, h is Planck's constant (6.626 × 10⁻³⁴ J·s), and f is frequency in hertz.

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

Where:

• \( E \) — Photon energy (joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( f \) — Frequency (hertz)

Explanation: The equation shows that photon energy is directly proportional to its frequency, with Planck's constant as the proportionality factor.

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and understanding electromagnetic radiation properties across different frequencies.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be positive and greater than zero for valid calculation.

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 this equation be used for all electromagnetic radiation?
A: Yes, the equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q3: How is frequency related to wavelength?
A: Frequency and wavelength are inversely related through the equation c = λ × f, where c is the speed of light (3 × 10⁸ m/s).

Q4: What are typical energy values for visible light photons?
A: Visible light photons have energies ranging from approximately 3.1 × 10⁻¹⁹ J (red light) to 4.1 × 10⁻¹⁹ J (violet light).

Q5: Why is photon energy important in practical applications?
A: Photon energy determines interactions with matter, including photosynthesis, vision, solar energy conversion, and various spectroscopic techniques.