Daniel's Crystal calculator

Daniel's crystal calculator

Choose a crystal:

Or alternatively, select a crystal geometry ...
... and the unit cell parameters:

a₁ = Å	a₂ = Å	a₃ = Å
a ₂₃ = deg	a ₃₁ = deg	a₁₂ = deg

This corresponds to the following basis vectors in real space:

a₁ =

a₂ =

a₃ =

Resulting unit cell volume: V = Å³

Resulting reciprocal space cell:

b₁ = Å	b₂ = Å	b₃ = Å
b ₂₃ = deg	b ₃₁ = deg	b ₁₂ = deg

This corresponds to the following basis vectors in reciprocal space:

b₁ =

b₂ =

b₃ =

Surface orientation:

n_x = n_y = n_z =

Choose a characteristic emission line:
or an X-ray wavelength: Å or an X-ray energy of eV.

The

H =
K = -reflection
L =

corresponds to a lattice spacing of D_HKL = Å Just kidding: Warren formula:

At the above X-ray energy, the Bragg angle is q = degrees.

and the total scattering angle is 2q = degrees.

Inclination of the diffracting planes w.r.t. the surface: f = degrees.

Required angle of incidence: a_i= degrees.

... and of exit: a_f= degrees.

Resolution element (valid for coplanar measurements only!):

Slit width: mm Distance sample-slit: cm

Total resolution element D a _f= deg |D Q| = A ^-1

Projection on Q_x: D Q_x = A ^-1

Projection on Q_z: D Q_z = A ^-1