Elysia Tools
Navigation
Science & Education
Matter-wave λ = h/p via particle & speed (γmv optional), direct momentum, or electron voltage (relativistic + h/√(2mE) comparison). Units from m to fm/Å with wavelength scale.
Execution
Fill in the form, run the tool, and review the result in one place.
Samples
Related
Tool usage guide
The de Broglie Wavelength Calculator computes the matter-wave wavelength (λ = h/p) of particles using particle speed, direct momentum, or electron accelerating voltage with optional relativistic corrections.
Background
Studying the Davisson-Germer experiment in a modern physics lab course.
Problem
Calculate the de Broglie wavelength of an electron accelerated through a 100 V potential.
How to use
Select the 'Electron accelerating voltage' mode and input 100 for accelerating voltage V.
mode: voltage, voltage: 100Outcome
Returns λ ≈ 1.226 Å (122.64 pm), matching typical crystal lattice spacing in diffraction experiments.
Background
Preparing lecture slides on why wave-particle duality is imperceptible in macroscopic objects.
Problem
Find the matter wavelength of a 58-gram tennis ball moving at 30 m/s.
How to use
Select 'Particle & speed' mode, choose 'Custom mass', enter 0.058 kg, and set speed to 30 m/s.
mode: particle, particle: custom, customMass: 0.058, speed: 30, relativistic: falseThe wavelength is calculated as λ = h/p, where h is Planck's constant and p is the momentum of the particle.
Apply relativistic corrections when particle velocities exceed roughly 1% of the speed of light (v/c > 0.01) to account for relativistic momentum.
Preset options include electrons, protons, neutrons, and alpha particles, alongside custom mass inputs.
Accelerating voltage V determines kinetic energy E = eV, which calculates momentum via relativistic formulas and classical approximations.
Outputs are displayed in meters (m), picometers (pm), ångströms (Å), and femtometers (fm) depending on the magnitude.
Outcome
Generates a wavelength of 3.81 × 10⁻³⁴ m, demonstrating why macroscopic matter waves cannot be observed.