When to use this calculator
Find the matter-wave wavelength corresponding to a momentum magnitude. The momentum input must follow a model appropriate to the particle’s speed.
Explore the optics & quantum relationships calculators for other questions in this topic. For a related calculation, use the Lens Magnification Calculator: Find signed lateral magnification from object and image distances.
PUTTING IT INTO PRACTICE
De Broglie Wavelength: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Momentum magnitude (kg·m/s) | 1.000000e-24 |
| Result | 6.626070e-10 m |
- Check the input labels and enter the example values above.
- Apply the relationship: Wavelength = Planck constant/momentum.
- The result is 6.626070e-10 m, rounded for display.
How to interpret your result
The momentum input must follow a model appropriate to the particle’s speed.
Use the stated sign convention for lenses and angles measured to the normal for refraction. Vacuum wavelength differs from wavelength inside a material. These models do not account for every optical aberration or material response.
Frequently asked questions
Why can a refracted-angle calculation have no real result?
When Snell’s-law sine exceeds one, the ideal ray model predicts total internal reflection rather than a real transmitted angle.
When is the de broglie wavelength calculator useful?
Find the matter-wave wavelength corresponding to a momentum magnitude. The momentum input must follow a model appropriate to the particle’s speed.
How do I use the de broglie wavelength calculator?
Enter momentum magnitude (kg·m/s). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Wavelength = Planck constant/momentum.
What should I check before using the result?
The momentum input must follow a model appropriate to the particle’s speed.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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