Miller indices

Miller indices

[′mil·ər ′in·də‚sēz]
(crystallography)
Three integers identifying a type of crystal plane; the intercepts of a plane on the three crystallographic axes are expressed as fractions of the crystal parameters; the reciprocals of these fractions, reduced to integral proportions, are the Miller indices. Also known as crystal indices.
References in periodicals archive ?
The orthorhombic and hexagonal peaks are indexed with hkl Miller indices with "O" and "H," respectively.
The theoretical value of the Euler angles of the crystallographic orientation known sample can be calculated according to the relationship between the Miller indices and the Euler angles.
These peaks are located at 20 (Miller indices) = 23.12[degrees] (0 1 2), 29.46[degrees] (1 0 4), 31.84[degrees] (0 0 6), 36.33[degrees] (1 1 0), 39.45[degrees] (1 1 3), 43.19[degrees] (2 0 2), 47.56[degrees] (0 1 8)(0 2 4), 48.53[degrees] (1 1 6), 56.63[degrees] (2 1 1), 57.43[degrees] (1 2 2), 60.71[degrees] (2 1 4), 62.89[degrees] (1 2 5), 64.70[degrees] (3 0 0), 65.62[degrees] (0 012), 69.21[degrees] (217), 70.32[degrees] (0 2 10), 72.96[degrees] (1 2 8), 77.22[degrees] (1 1 12), 81.58[degrees] (2 1 0), and 83.88[degrees] (1 3 4).
The pyrogenic fcc CaO peaks in the pattern of 1000[degrees]C were positioned at 2[theta] (Miller indices) = 32.29[degrees] (111), 37.45[degrees] (2 0 0), 53.95[degrees] (2 2 0), 64.24[degrees] (3 1 1), and 67.47[degrees] (2 2 2) sharply.
Sharp peaks of calcite are positioned at 2[theta] (Miller indices) = 23.14[degrees] (012), 29.49[degrees] (1 0 4), 31.51[degrees] (0 0 6), 36.05[degrees] (1 1 0), 39.47[degrees] (1 1 3), 43.22[degrees] (2 0 2), 47.15[degrees] (0 2 4), 47.56[degrees] (0 1 8), 48.57[degrees] (1 1 6), 56.65[degrees] (2 11), 57.45[degrees] (1 2 2), 58.16[degrees] (1 0 10), 60.74[degrees] (2 1 4), 61.48[degrees] (1 1 9), 62.98[degrees] (1 2 5), 64.71[degrees] (3 0 0), and 65.65[degrees] (0 0 12).
Its peaks are positioned at 20 (Miller indices) = 1796[degrees] (0 0 1), 28.64[degrees] (10 0), 34.09[degrees] (0 1 1), 47.11[degrees] (0 12), 50.86[degrees] (110), 54.35[degrees] (111), 59.40[degrees] (2 0 0), 62.56[degrees] (2 0 1), and 64.28[degrees] (112).
The peaks with miller indices (222), (400), (533) did not match with the standard pattern of CuFe2O4.
The peaks with miller indices (111) and (422) did not match with the standard pattern of CuFe2O4, Fig.
The above table confirmed the miller indices and lattice constants.
The book assumes students have had an introductory course in materials science and understand the basic concepts of crystal structures, Miller indices, dislocations, binary phase diagrams, and Fick's first and second laws of diffusion.
Miller Indices are clearly explained, as is the critical observation of interfacial angles, the goniometer (and how to make one), axial ratios and more.
A slab/surface can be created from Miller Indices or from the three vectors that define the slab edges.