1. What is a Photon Energy to Wavelength Calculator?

Definition: This calculator converts photon energy to its corresponding wavelength using Planck's constant and the speed of light.

Purpose: It helps physicists, chemists, and engineers understand the relationship between photon energy and electromagnetic radiation wavelength.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The product of Planck's constant and speed of light is divided by the photon energy to determine the wavelength.

3. Importance of Wavelength Calculation

Details: Understanding this relationship is fundamental in quantum mechanics, spectroscopy, and various applications like laser technology and photovoltaics.

4. Using the Calculator

Tips: Enter the photon energy in joules. Default values are provided for Planck's constant (6.626 × 10⁻³⁴ J·s) and speed of light (3 × 10⁸ m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is the speed of light important here?
A: It connects the frequency and wavelength of electromagnetic radiation through the equation c = λν.

Q3: What if my energy is in electronvolts (eV)?
A: Convert to joules first (1 eV = 1.602 × 10⁻¹⁹ J) before using this calculator.

Q4: What range of wavelengths can this calculate?
A: It works for all electromagnetic radiation, from gamma rays to radio waves.

Q5: How precise are these calculations?
A: Very precise, as they use fundamental physical constants. Results are limited only by input precision.