1. What is De Broglie Wavelength?

The De Broglie wavelength is the wavelength associated with a particle's momentum, demonstrating wave-particle duality. It shows that matter has wave-like properties, with the wavelength inversely proportional to the particle's momentum.

2. How Does the Calculator Work?

The calculator uses the De Broglie equation:

Where:

• \( \lambda \) — Wavelength in meters (m)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( p \) — Momentum in kilogram meters per second (kg·m/s)

Explanation: The equation shows that as a particle's momentum increases, its wavelength decreases, and vice versa.

3. Importance of De Broglie Wavelength

Details: This concept is fundamental to quantum mechanics, explaining phenomena like electron diffraction and the behavior of particles at atomic scales. It bridges classical and quantum physics.

4. Using the Calculator

Tips: Enter the particle's momentum in kg·m/s. The momentum must be greater than zero. For electrons, momentum can be calculated from kinetic energy.

5. Frequently Asked Questions (FAQ)

Q1: What particles exhibit De Broglie wavelength?
A: All matter has wave-like properties, but it's most noticeable for very small particles like electrons, protons, and atoms.

Q2: Why don't we notice wave properties in everyday objects?
A: The wavelength is inversely proportional to mass. For macroscopic objects, the wavelength is extremely small and undetectable.

Q3: How was this concept experimentally verified?
A: The Davisson-Germer experiment in 1927 confirmed wave nature of electrons by observing diffraction patterns.

Q4: What's the wavelength of a 1 eV electron?
A: About 1.23 nm (use kinetic energy to first find momentum, then calculate wavelength).

Q5: Does this apply to photons?
A: Yes, but photons are massless particles where the relationship is already accounted for in their energy-momentum relation.