1. What is the Photon Energy Equation?

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

2. How Does the Calculator Work?

The calculator uses the photon energy equation:

Where:

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

Explanation: The equation demonstrates the fundamental quantum relationship between a photon's energy and its frequency, as described by Max Planck.

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and various applications including laser technology, medical imaging, and solar energy conversion.

4. Using the Calculator

Tips: Enter the frequency in hertz (Hz). The value must be positive and greater than zero for accurate 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 in quantum mechanics.

Q2: How does frequency relate to photon energy?
A: Higher frequency photons have higher energy. The relationship is directly proportional - doubling the frequency doubles the energy.

Q3: What are typical frequency values for photons?
A: Radio waves: 10⁴-10⁸ Hz, Visible light: 4×10¹⁴-8×10¹⁴ Hz, X-rays: 10¹⁶-10²⁰ Hz, Gamma rays: >10²⁰ Hz.

Q4: 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.

Q5: What are alternative ways to calculate photon energy?
A: Photon energy can also be calculated using wavelength: \( E = \frac{hc}{\lambda} \), where \( c \) is the speed of light and \( \lambda \) is wavelength.