De Broglie Frequency by Momentum
The de Broglie frequency is the frequency associated with a massive particle in motion according to quantum mechanics.
The de Broglie frequency equals the momentum squared divided by twice the Planck constant and the mass of the particle.
Formula
![Copy to Clipboard QuantityVariable["f", "Frequency"] == (Quantity[1/2, "PlanckConstant"^(-1)]*QuantityVariable["p", "Momentum"]^2)/QuantityVariable["m", "Mass"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/c11/c11b64b6-8bc9-4a93-9a71-40ce1c1b437a/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| f | frequency | "Frequency" |
| m | mass | "Mass" |
| p | momentum | "Momentum" |
Forms
Examples
Get the resource:
| In[1]:= |
| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= | ![]() |
Use some values:
| In[3]:= | ![]() |
| Out[3]= |


![FormulaData[
ResourceObject[
"De Broglie Frequency by Momentum"], {QuantityVariable[
"m","Mass"] -> Quantity[1.`, "NeutronMass"],
QuantityVariable["p","Momentum"] ->
Quantity[1.67`*^-27, ("Kilograms" "Meters")/("Seconds")]}]](images/c11/c11b64b6-8bc9-4a93-9a71-40ce1c1b437a-io-3-i.en.gif)