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Bragg's Law

Bragg's law specifies which angles possess coherent and incoherent scattering from a crystal lattice.

Constructive interference occurs when an integer multiple of the wavelength equals twice the plane spacing of the lattice times the sine of the Bragg angle.

Formula

QuantityVariable["n", "Unitless"]*QuantityVariable["λ", "Wavelength"] == 2*QuantityVariable["d", "Distance"]*Sin[QuantityVariable["θ", "Angle"]]

symbol description physical quantity
n order "Unitless"
λ wavelength "Wavelength"
d plane spacing "Distance"
θ Bragg angle "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Bragg's Law"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Bragg's Law"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Bragg's Law"], {QuantityVariable["n","Unitless"] -> 1, QuantityVariable["\[Theta]","Angle"] -> Quantity[\[Pi]/6, "Radians"], QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[0.154`, "Nanometers"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1913

Publisher Information