1. What is the Photon Energy-Wavelength Relationship?

The relationship between photon energy and wavelength is fundamental in quantum mechanics and electromagnetic theory. It describes how the energy of a photon relates to its wavelength through Planck's constant and the speed of light.

2. How Does the Calculator Work?

The calculator uses the following 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: The equation shows that wavelength is inversely proportional to photon energy - higher energy photons have shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Calculating wavelength from photon energy is essential in spectroscopy, quantum physics, photonics, and many areas of chemistry and materials science.

4. Using the Calculator

Tips: Enter photon energy in joules. The value must be positive. For electronvolts (eV), first convert to joules (1 eV = 1.60218 × 10⁻¹⁹ J).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of photon energies this calculator can handle?
A: The calculator works for any positive energy value, from radio waves to gamma rays.

Q2: How precise are the calculations?
A: The calculator uses precise values for fundamental constants and provides results to 16 decimal places.

Q3: Can I use electronvolts (eV) directly?
A: No, you must first convert eV to joules (1 eV = 1.60218 × 10⁻¹⁹ J).

Q4: What's the relationship between wavelength and frequency?
A: Wavelength and frequency are related by \( c = \lambda \times \nu \), where \( \nu \) is frequency.

Q5: Why is Planck's constant important in this calculation?
A: Planck's constant relates the energy of a photon to its frequency (E = hν), forming the basis of quantum mechanics.