1. What is De Broglie Wavelength?

The de Broglie wavelength is a concept in quantum mechanics that describes the wave-like behavior of particles. For photons, it represents the wavelength associated with their particle nature, calculated using Planck's constant and the photon's energy.

2. How Does the Calculator Work?

The calculator uses the de Broglie wavelength formula:

Where:

• \( \lambda \) — Wavelength (meters)
• \( h \) — Planck's constant (6.626×10⁻³⁴ J·s)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( E \) — Energy of the photon (joules)

Explanation: This formula calculates the wavelength of a photon based on its energy, using fundamental physical constants.

3. Importance of Wavelength Calculation

Details: Calculating photon wavelength is essential in quantum mechanics, spectroscopy, and various applications including laser technology, medical imaging, and telecommunications.

4. Using the Calculator

Tips: Enter the photon energy in joules. The value must be positive and non-zero. The result will be the corresponding wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the de Broglie hypothesis?
A: The de Broglie hypothesis states that all matter exhibits wave-like properties, with wavelength inversely proportional to momentum.

Q2: How does this differ from particle de Broglie wavelength?
A: For massive particles, λ = h/p (where p is momentum). For photons, since they are massless, we use E = pc, leading to λ = hc/E.

Q3: What are typical wavelength values for photons?
A: Photon wavelengths range from picometers (gamma rays) to kilometers (radio waves), depending on their energy.

Q4: Can this calculator be used for other particles?
A: No, this specific calculator is designed for photons. For massive particles, a different formula (λ = h/p) should be used.

Q5: What units should I use for energy?
A: Energy must be entered in joules (J). For electronvolts, convert to joules first (1 eV = 1.602×10⁻¹⁹ J).