Science
Photon energy from wavelength
Convert vacuum wavelength in nanometres into the energy of one photon in joules and electronvolts using Planck’s constant and light speed.
Calculators / Science / Matter-wave wavelength
Matter-wave wavelength calculator
Calculate a particle’s matter-wave wavelength using its mass and nonrelativistic speed.
On this page
De Broglie wavelength7.27e-10m
Wavelength in nanometres0.73nm
Calculator controls
How to calculate
Calculate a particle’s matter-wave wavelength using its mass and nonrelativistic speed.
De Broglie wavelength =
6.62607015e-34/(m*v) mWavelength in nanometres =
6.62607015e-25/(m*v) nmWorked example
- Particle mass (kg): 9.1093837139e-31
- Particle speed (m/s): 1000000
- De Broglie wavelength: 7.27e-10 m
- Wavelength in nanometres: 0.73 nm
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses momentum m × v and the exact SI Planck constant; speeds approaching light speed require relativistic momentum.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate a particle’s matter-wave wavelength using its mass and nonrelativistic speed. The nanometre output is the same wavelength in a more readable unit, not a second physical quantity.
When this tool is useful
The nanometre output is the same wavelength in a more readable unit, not a second physical quantity.
Understanding your inputs
| Input | Example |
|---|---|
Particle mass (kg) m | 9.1093837139e-31 |
Particle speed (m/s) v | 1000000 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses momentum m × v and the exact SI Planck constant; speeds approaching light speed require relativistic momentum.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.