1. What is the Wavelength to Energy Equation?

The wavelength to energy equation converts a photon's wavelength in nanometers to its energy in joules. This is fundamental in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the wavelength to energy equation:

Where:

• \( E \) — Energy in joules (J)
• \( \lambda_{nm} \) — Wavelength in nanometers (nm)
• 1.986 × 10⁻¹⁶ — Conversion constant (hc in J·nm)

Explanation: The equation shows the inverse relationship between photon energy and wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Energy Calculation

Details: Calculating photon energy is essential in spectroscopy, quantum mechanics, photochemistry, and understanding light-matter interactions.

4. Using the Calculator

Tips: Enter wavelength in nanometers (must be positive). The result will be the photon energy in joules.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical meaning of the constant 1.986 × 10⁻¹⁶?
A: This is the product of Planck's constant (h) and the speed of light (c), converted to give results in J·nm.

Q2: How does energy relate to wavelength?
A: Energy and wavelength are inversely proportional - as wavelength increases, energy decreases.

Q3: What are typical energy values for visible light?
A: For visible light (400-700 nm), energies range from about 2.8 × 10⁻¹⁹ J to 5.0 × 10⁻¹⁹ J.

Q4: Can this be used for all electromagnetic radiation?
A: Yes, the equation applies to all photons across the electromagnetic spectrum.

Q5: How can I convert the result to electron volts (eV)?
A: Divide the energy in joules by 1.602 × 10⁻¹⁹ to convert to eV.