Lattice Spacing of 1D/2D/3D Lattices from Diffraction Peaks


This Javascript calculates the lattice spacings from 1D (lamellar), 2D (square or hexagonal) and 3D cubic lattices from the first 5 reflections of the diffraction pattern (for up to 12 reflections click here). Select the lattice type: 1D-lamellar: L(h/0/0), 2D-square: S(h/k/0), 2D-hexagonal: H(h/k/0) or 3D-cubic: C(h/k/l) and enter the respective q-values of the first five X(h/k/l) diffraction peaks. If one or more peak(s) is/are not detectable or not permitted (as for some cubic lattices) enter -1. The lattice spacing will be calculated by a linear fit from q vs sqrt (h*h + k*k + l*l) or q vs sqrt (h*h + k*k + h*k), respectively, including the origin q=0 for h=k=l=0. The values of the slope, of the intercept and the resulting lattice spacing will be displayed and the fit will be plotted. If the units of the entered q-values are in 1/A or in 1/nm if the value of the lattice spacing is also in A or in nm, respectively.