Reciprocal Lattice
Reciprocal Lattice Calculations
Here is the list of functions related to the reciprocal lattice calculations that are provided by the "Neutron Scattering" XOP:
STLcubic(h, k, l, a)
The STLcubic function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a cubic system. a is the length of the cell edges in Å. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/6dd5735e32d4e3500df7f6d533cfc8f5.png)
STLhexagonal(h, k, l, a, c)
The STLhexagonal function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a hexagonal system. a and c are the lengths of the cell edges in Å. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/c765148fba91cd603a451343c5bea086.png)
STLrhombohedral(h, k, l, a, alpha)
The STLrhombohedral function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a STLrhombohedral system. a and alpha are the length of the cell edges in Å and the interaxial angle in degrees. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/7772b5fba58bef1d9022a968a3a7398f.png)
STLtetragonal(h, k, l, a, c)
The STLtetragonal function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a tetragonal system. a and c are the lengths of the cell edges in Å. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/6151bfff8ab6fb3ff267f49522933b53.png)
STLorthorhombic(h, k, l, a, b, c)
The STLorthorhombic function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of an orthorhombic system. a, b and c are the lengths of the cell edges in Å. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/39837280cceade273837246cbc3bbc53.png)
STLmonoclinicB(h, k, l, a, b, c, beta)
The STLmonoclinicB function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a monoclinic system (b-unique setting). a, b and c are the lengths of the cell edges in Å and beta is the interaxial angle in degrees (≠90°). The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/b724d87b75cf903ba3d97475015b724e.png)
STLmonoclinicC(h, k, l, a, b, c, gamma)
The STLmonoclinicC function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a monoclinic system (c-unique setting). a, b and c are the lengths of the cell edges in Å and gamma is the interaxial angle in degrees (≠90°). The expression is extracted from the International Tables for Crystallography (Vol. C).
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/c1b7938b6d63e1715c474c86b4cc838d.png)
STLtriclinic(h, k, l, a, b, c, alpha, beta, gamma)
The STLmonoclinicC function returns the value Sin(Theta)/Lambda = 1/2.d[hkl] in Å-1 for the reflection [h, k, l] of a monoclinic system (c-unique setting). a, b, c are the lengths of the cell edges in Å and alpha, beta, gamma are the interaxial angle in degrees. The expression is extracted from the International Tables for Crystallography (Vol. C):
![](/fileadmin/user_upload/ILL/3_Users/Support_labs_infrastructure/Sample_Environment/Software/XOP_plugins_for_IGOR_Pro/Reciprocal_Lattice/9bba7cdf5bdb2a75c9a21e3662b7c6a1.png)