Real and reciprocal lattice converter

Import from CIF (optional)

Load a Crystallographic Information File to auto-fill the real-space lattice parameters. Uncertainties in parentheses such as 5.6402(2) are stripped automatically.

Standard crystal

Input

Input as

Reciprocal convention

Real-space lattice parameters

a (Å)

b (Å)

c (Å)

α (deg)

β (deg)

γ (deg)

Real-space lattice vectors (Å)

Enter each lattice vector as three Cartesian components separated by spaces or commas.

a vector

b vector

c vector

Reciprocal-space lattice parameters

α*, β*, γ* are the angles between the reciprocal basis vectors b* & c*, c* & a*, and a* & b* respectively.

a* (Å⁻¹)

b* (Å⁻¹)

c* (Å⁻¹)

α* (deg)

β* (deg)

γ* (deg)

Reciprocal-space lattice vectors (Å⁻¹)

Enter each reciprocal-lattice vector as three Cartesian components in inverse angstroms.

a* vector

b* vector

c* vector

Reciprocal vector lookup

Enter Miller indices (h k l) to compute G = h·a* + k·b* + l·c*, its absolute value in inverse angstroms, and the corresponding d-spacing. Non-integer indices are allowed (e.g. for satellite peaks).

HKL