Characterization microwave absorption with more rigorous method

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By confusing the concepts of lattice node and Wyckoff site in crystal, it is misleadingly claimed that “it is obviously simply impossible to have different environments around two physically distinct but symmetrically equivalent atoms.” In fact, the environments of two chiral positions connected by mirror or inverse operation are different. Diamond lattice is a commonly used phrase to distinguish different forms of cF lattice such as table salt, diamond, and spinel MgAl2O4 . The phrase can be conveniently used for describing structures such as MgCu2 and MgAl2O4 where Mg occupies the points indicated in the “diamond lattice.” There are only 14 Bravais lattices. Thus, not every point in the cell of diamond lattice is a lattice node. In the unit cell of primitive diamond lattice there are two carbon atoms but they are represented by only one lattice node. Relative to translation operation, all the nodes (but not necessarily all the points or atoms) in a lattice have the same environment. The environments of the two carbon atoms in the primitive unit cell of diamond are different even though they are connected by symmetry operations. The same environment for all the lattice nodes in a lattice is an essential principle in the long established Miller Indices. Failure to understand this has led to the redefinition of Miller indices [“In an I-centred cell, the Miller indices of this family of planes are (222), not (111)”], and in turn led to the absolutely wrong claims of unevenly distribution of lattice planes with the same Miller indices in a lattice and different node densities within this family of planes.

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