1. What is the Wavelength Equation?

The wavelength equation relates the energy of a photon to its wavelength using Planck's constant and the speed of light. It's fundamental in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

• \( \lambda \) — Wavelength in meters (converted to nm)
• \( h \) — Planck's constant (6.62607015 × 10⁻³⁴ J·s)
• \( c \) — Speed of light (299,792,458 m/s)
• \( E \) — Energy of the photon in joules

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

3. Importance of Wavelength Calculation

Details: Calculating wavelength from energy is essential in spectroscopy, quantum physics, photochemistry, and understanding electromagnetic radiation properties.

4. Using the Calculator

Tips: Enter energy in joules, Planck's constant in J·s (default provided), and speed of light in m/s (default provided). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why convert to nanometers?
A: Nanometers are a convenient unit for measuring wavelengths of visible light and nearby spectra (UV, IR).

Q2: What are typical wavelength ranges?
A: Visible light is 380-750 nm, UV is 10-380 nm, and IR is 750 nm-1 mm.

Q3: Can I use electron volts instead of joules?
A: Yes, but you'll need to convert eV to joules first (1 eV = 1.60218 × 10⁻¹⁹ J).

Q4: Does this work for all particles?
A: This specifically calculates photon wavelength. For matter waves, use de Broglie wavelength.

Q5: How precise are the constants?
A: The values used are the 2019 SI defined values with exact precision.