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De Broglie Wavelength by Kinetic Energy

The de Broglie wavelength is the wavelength associated with a massive particle in motion according to quantum mechanics.

The de Broglie wavelength equals the Planck constant divided by the square root of twice the product of the particle's kinetic energy and mass.

Formula

QuantityVariable["λ", "Wavelength"] == Quantity[1/Sqrt[2], "PlanckConstant"]/Sqrt[QuantityVariable["K", "Energy"]*QuantityVariable["m", "Mass"]]

symbol description physical quantity
λ wavelength "Wavelength"
K kinetic energy "Energy"
m mass "Mass"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["De Broglie Wavelength by Kinetic Energy"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["De Broglie Wavelength by Kinetic Energy"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "De Broglie Wavelength by Kinetic Energy"], {QuantityVariable[ "K","Energy"] -> Quantity[1, "Megaelectronvolts"], QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[400, "Nanometers"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1924

Publisher Information