1. What Is The Photon Energy To Wavelength Calculator Based On?

This calculator uses Planck's equation to convert photon energy to wavelength. It's based on the fundamental relationship between a photon's energy and its wavelength in the electromagnetic spectrum.

2. How Does The Calculator Work?

The calculator uses Planck's equation:

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: This equation demonstrates the inverse relationship between a photon's energy and its wavelength - higher energy photons have shorter wavelengths.

3. Importance Of Wavelength Calculation

Details: Calculating wavelength from photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and various applications involving electromagnetic radiation across different fields of physics and engineering.

4. Using The Calculator

Tips: Enter photon energy in joules. The value must be positive and non-zero. The result will be the corresponding wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for energy?
A: The calculator requires energy in joules. Convert from electronvolts (eV) or other units first (1 eV = 1.602 × 10⁻¹⁹ J).

Q2: What's the range of valid inputs?
A: The equation works for all photon energies greater than zero, corresponding to wavelengths from gamma rays to radio waves.

Q3: Why is the result in meters?
A: The SI unit for wavelength is meters. For visible light, you'll typically get results around 10⁻⁷ m (nanometers).

Q4: What if I need wavelength in different units?
A: Convert the result from meters to your desired unit (nanometers, micrometers, angstroms, etc.) after calculation.

Q5: Does this work for all types of electromagnetic radiation?
A: Yes, the relationship applies universally across the entire electromagnetic spectrum.