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Reciprocal SpaceAll functions are free

Reciprocal Space

constructs the reciprocal lattice, first Brillouin zone and interplanar spacing from the unit cell.

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General triclinic unit cell; the first Brillouin zone is intersected by the nearest reciprocal point half space. Diffraction only gives the geometric peak positions and does not calculate the structure factor intensity.

Reciprocal Space: uses and methods

constructs the reciprocal lattice, first Brillouin zone and interplanar spacing from the unit cell.

Applicable scope and calculation boundary

General triclinic unit cell; the first Brillouin zone is intersected by the nearest reciprocal point half space. Diffraction only gives the geometric peak positions and does not calculate the structure factor intensity.

model and reference method

B = 2π A⁻ᵀ; Bragg’s law.

model version: 1.0.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.

input parameters

a(Å)
Value range: 0.5 – 30
b(Å)
Value range: 0.5 – 30
c(Å)
Value range: 0.5 – 30
α(°)
Value range: 20 – 160
β(°)
Value range: 20 – 160
γ(°)
Value range: 20 – 160
X-ray wavelength(Å)
Value range: 0.1 – 5

How to use

  1. Load the example or enter data that matches the field description.
  2. Confirm units and models, run calculations and check diagnostics.
  3. Export charts, tables or results packages and record model versions.

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FROM SCIENCE TO PRACTICE

commercial application case

Industry Application · Independent Reproduction Example

Reciprocal space preparation for diffraction experiments

Materials analysts check the reciprocal spatial relationship corresponding to the unit cell before diffraction experiments.

Public industry reference: Diamond Light Source

Diamond’s industrial services support synchrotron radiation research in materials, pharmaceuticals and more.

View product or organization original information

on this site

  1. input unit cell
  2. structural reciprocal basis
  3. rotating Brillouin zone display

Deliverables

Reciprocal lattice and geometric information for experimental communication

needs to be checked before landing

does not simulate full diffraction intensity, instrument broadening or experimental error。

case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified. The

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catalog compiled on 2026-10-03. Link accessibility does not equate to verification of the latest papers, admissions, or program status; please check the institution's official website for specific research teams and opportunities.

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