de Broglie Wavelength
All matter has wave-like properties. The wavelength is inversely proportional to momentum.
Variables
Derivation
Proposed by de Broglie, combining wave and particle aspects of matter.
Your notes
Constants in this formula
Check value
Round inputs run through this page's calculator, with each constant at its tabulated value. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- h = 6.626 070 15 × 10⁻³⁴ J·s (Planck constant)
- m = 2 kg (Mass)
- v = 3 m/s (Velocity)
Result: λ = 1.104345 × 10⁻³⁴ m
Other modern physics formulas with the same quantities
- Electron Wavelength (Accelerated) (Quantum Mechanics) shares de Broglie wavelength, Planck constant
- Photoelectric Effect (Quantum Mechanics) shares Planck constant
- Stopping Potential (Quantum Mechanics) shares Planck constant
- Particle in a Box Energy Levels (Quantum Mechanics) shares Planck constant
- Compton Scattering (Quantum Mechanics) shares Planck constant
- Photon Momentum (Quantum Mechanics) shares Planck constant
Where this formula is listed
- Modern Physics formulas, under Quantum Mechanics, alongside Energy-Time Uncertainty, Time-Dependent Schrödinger Equation, Fermi Energy, Photoelectric Threshold Frequency and Bragg's Law.
- In the modern physics list it comes after Stopping Potential and before Heisenberg Uncertainty Principle.
- Modern Physics formula sheet, one of 41 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the de Broglie Wavelength formula?
de Broglie Wavelength is written λ = h/p = h/(mv). All matter has wave-like properties. The wavelength is inversely proportional to momentum. It belongs to Modern Physics, under Quantum Mechanics.
What are the units in λ = h/p = h/(mv)?
In SI units, λ is de broglie wavelength, measured in m; h is planck constant, measured in J·s; p is momentum, measured in kg·m/s; m is mass, measured in kg; v is velocity, measured in m/s.
How is the de Broglie Wavelength formula derived?
Proposed by de Broglie, combining wave and particle aspects of matter. The result is λ = h/p = h/(mv).