1. What is the Wavelength to Energy Conversion?

The wavelength to energy conversion calculates the energy of a photon based on its wavelength using Planck's equation. This is fundamental in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the energy-wavelength equation:

Where:

• \( E \) — Energy of the photon (Joules)
• \( h \) — Planck's constant (6.62607015×10⁻³⁴ J⋅Hz⁻¹)
• \( c \) — Speed of light (299792458 m/s)
• \( \lambda \) — Wavelength (meters)

Simplified: The product of h and c is approximately 1.986×10⁻²⁵ J⋅m, which is used in the calculator for simplicity.

3. Importance of Energy Calculation

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

4. Using the Calculator

Tips: Enter the wavelength in meters. For common light wavelengths, remember:

• Visible light: ~400-700 nm (4×10⁻⁷ to 7×10⁻⁷ m)
• X-rays: ~0.01-10 nm (1×10⁻¹¹ to 1×10⁻⁸ m)
• Radio waves: ~1 mm - 100 km (1×10⁻³ to 1×10⁵ m)

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for wavelength?
A: The calculator requires meters. Convert from other units: 1 nm = 10⁻⁹ m, 1 Å = 10⁻¹⁰ m, 1 μm = 10⁻⁶ m.

Q2: Can I calculate wavelength from energy?
A: Yes, by rearranging the equation: λ = hc/E. The same constant (1.986×10⁻²⁵ J⋅m) can be used.

Q3: What is the energy range for visible light?
A: Approximately 2.8×10⁻¹⁹ J (700 nm red) to 5×10⁻¹⁹ J (400 nm violet).

Q4: How does energy relate to light color?
A: Higher energy photons appear violet/blue, lower energy appear red. Beyond visible range: UV has higher energy, IR has lower.

Q5: Why is the energy value so small?
A: Photon energies are tiny in Joules. Often expressed in electronvolts (eV): 1 eV = 1.602×10⁻¹⁹ J.