Questions tagged [crystallography]

Questions concerning crystallography, the science of determining the arrangement of atoms in crystalline solids.

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8
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Have Finite Difference Time Domain methods made inroads into dynamical simulation of electron and/or X-ray scattering by crystals?

I'm afraid this question might be too basic or too naive or both, but here goes! For optical diffraction by periodic nano-structures (gratings, semiconductor manufacturing metrology) the rigorous ...
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26 views

How to convert lab frame quaternions and plane normal to misorientation quaternion and crystal plane normal for grain boundaries?

Background Let qA and qB represent unit, orientation quaternions of grain A and grain B of a grain boundary in the lab reference frame, respectively. Let qm be the misorientation quaternion of qA and ...
11
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1answer
72 views

What does capital sigma followed by an integer (Σn) mean in the context of grain boundaries?

I've just run across a nomenclature for coincidence lattices at grain boundaries which uses a capital greek letter sigma followed by an integer. For example Grain Boundary Engineering & ...
8
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1answer
110 views

How to calculate the orthogonal representation of a HCP cell?

I'm trying to write a program to calculate the neighbor lists of crystal systems. I found a few codes that are able to calculate it for orthogonal systems. How can I do it for non-orthogonal cells ? ...
11
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1answer
71 views

CuO (monoclinic) crystallographic plane and their relaxed surface energy

I want to calculate wulff construction for CuO of space group C2/c. Can any one help me with its crystallographic plane/Miller indices and their corresponding relaxed surface energy? If you can ...
9
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1answer
157 views

Get fractional coordinates from special Wyckoff positions

I'm trying to get the fractional coordinates for Mo and S, for MoS$_2$-2H, where 2H means the phase. MoS$_2$-2H is a bilayer, in which each layer is separated from each other by Van der Waals forces. ...
8
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0answers
30 views

Symmetry of glide planes

I am trying to understand the symmetry elements of space group number 194 (P$6_3$/mmc), which is hexagonal and has 24 symmetry operations. In the table of symmetry operations it says that it has three ...
9
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1answer
38 views

Does the Mermin-Wagner theorem influence the stability of graphene?

Prior to the discovery of graphene, the Mermin-Wagner theorem was used to argue that purely two-dimensional materials would not be stable as two-dimensional order would show logarithmic divergences at ...
18
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1answer
961 views

Is the number of possible Bravais lattices a mathematical fact?

Almost anyone that has taken a Solid State Physics course will know, that any 3D crystal must be in one of the 14 Bravais lattices due to symmetry operations and space filling. In 2015, a paper was ...
12
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1answer
462 views

Labeling of high symmetry points in Brillouin zone

A Brillouin zone is defined as a Wigner~Secitz primitive cell in the reciprocal lattice [1,2]. The construction of the first Brillouin zone for two different 2D lattices are shown below: The ...
12
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1answer
68 views

Overview of how self-consistent dynamical low-energy electron diffraction simulations are performed

A technique for deducing arrangements of atoms on crystal surfaces is Low Energy Electron Diffraction or LEED. For a flat crystal surface aligned to a low-order plane with perhaps a 2D periodic ...
16
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1answer
37 views

Does the thermal evolution of molecular structures critically affect the validity of the calculated magnetic anisotropy?

This is a particular aspect I'm interested in, from the more generic question "Does the thermal evolution of chemical structures critically affect the validity of the calculated physical properties?". ...