1. What is Photon Energy Calculation?

Definition: This calculator computes the energy of a photon based on its wavelength using Planck's equation.

Purpose: It helps physicists, chemists, and students understand the quantum energy of electromagnetic radiation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Energy of the photon (joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( c \) — Speed of light (3 × 10⁸ m/s)
• \( \lambda \) — Wavelength (meters)

Explanation: The energy of a photon is inversely proportional to its wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Photon Energy Calculation

Details: Understanding photon energy is crucial in quantum mechanics, spectroscopy, photochemistry, and optical technologies.

4. Using the Calculator

Tips: Enter the wavelength in meters (e.g., 500 nm = 5.0E-7 m). Planck's constant and speed of light have default scientific values but can be adjusted.

5. Frequently Asked Questions (FAQ)

Q1: Why is the energy inversely proportional to wavelength?
A: This is a fundamental relationship in quantum mechanics - higher frequency (shorter wavelength) light carries more energy per photon.

Q2: What's a typical wavelength range for visible light?
A: Approximately 380-750 nm (3.8E-7 to 7.5E-7 meters).

Q3: How can I convert nanometers to meters?
A: Divide by 1 billion (1 nm = 1E-9 m). For example, 550 nm = 5.5E-7 m.

Q4: What's the energy range for visible light photons?
A: About 2.65E-19 J (violet) to 5.0E-19 J (red) per photon.

Q5: Can I calculate wavelength from energy?
A: Yes, by rearranging the formula: λ = (h × c)/E.