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 12 reflections of the diffraction pattern. 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 (up to) ten X(√(h
2
+ k
2
+ l
2
)) 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 √(h
2
+ k
2
+ l
2
) 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.
Input
Results
1D lamellar
2D square
2D hexagonal
3D cubic
peak 1: L(1)/S(1)/H(1)/C(1)
peak 2: L(2)/S(√2)/H(√3)/C(√2)
peak 3: L(3)/S(2)/H(2)/C(√3)
peak 4: L(4)/S(√5)/H(√7)/C(2)
peak 5: L(5)/S(√8)/H(3)/C(√5)
peak 6: L(6)/S(3)/H(√12)/C(√6)
peak 7: L(7)/S(√10)/H(√13)/C(√8)
peak 8: L(8)/S(√13)/H(4)/C(3)
peak 9: L(9)/S(4)/H(√19)/C(√10)
peak 10: L(10)/S(√17)/H(√21)/C(√11)
peak 11: L(11)/S(√18)/H(√25)/C(√12)
peak 12: L(12)/S(√20)/H(√27)/C(√13)
intercept
slope
correlation
lattice spacing
peaks
Author:
M.Kriechbaum
, TU-Graz (2024), e-mail:
manfred.kriechbaum@tugraz.at