1. What is the Wavelength to Energy Conversion?

The conversion from wavelength to energy is based on the fundamental relationship in quantum mechanics described by the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is wavelength.

2. How Does the Calculator Work?

The calculator uses the energy conversion formula:

Where:

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

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

3. Importance of Energy Calculation

Details: This calculation is essential in various scientific fields including spectroscopy, quantum mechanics, photochemistry, and optical physics for determining the energy of photons.

4. Using the Calculator

Tips: Enter wavelength in nanometers (nm). The value must be positive and non-zero. The calculator automatically converts nm to meters for the calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why convert wavelength from nm to meters?
A: Planck's constant and speed of light use SI units (meters and seconds), so wavelength must be in meters for dimensional consistency.

Q2: What is the typical energy range for visible light?
A: Visible light (400-700 nm) corresponds to approximately 3.1-1.8 eV or 5.0-2.8 × 10⁻¹⁹ J.

Q3: Can this calculator be used for other wavelength units?
A: This calculator specifically accepts nanometers. For other units, convert to nm first or modify the calculation accordingly.

Q4: How accurate is this calculation?
A: The calculation uses fundamental physical constants and provides highly accurate results for most practical applications.

Q5: What applications use this energy conversion?
A: Spectroscopy, laser technology, photovoltaics, chemical analysis, and various research fields in physics and chemistry.