What is the definition of translational order parameter for a two dimensional crystal?
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The translational order parameter in a two-dimensional crystal refers to the degree of positional correlation between particles in the crystal lattice. It is crucial for identifying different phases in the crystal structure, such as solid, hexatic, or liquid phases. The translational order parameter is determined by analyzing the decay behavior of the translational correlation function, which reflects the symmetry and arrangement of particles in the crystal lattice. Various methods, including X-ray diffraction patterns and small-angle neutron scattering, are employed to calculate the translational order parameter in liquid crystalline materials. Understanding the translational order parameter is essential for characterizing the structural properties and phase transitions in two-dimensional crystals.
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24 Citations | Translational order parameter τ in a two-dimensional crystal is determined using x-ray diffraction, indicating positional ordering within the liquid crystalline smectic A phase. |
10 Citations | The translational order parameter for a smectic liquid crystal is determined using small-angle neutron scattering, with a value of 0.5 for 4-octyl-4'-cyanobiphenyl (8CB) in the smectic A phase. |
| The translational order parameter for a two-dimensional crystal is crucial for identifying its phases accurately, with recent findings emphasizing the importance of correctly determining the symmetry axis. | |
1 Citations | The translational order parameter in a two-dimensional crystal describes the degree of order in the arrangement of particles along a specific direction, as discussed in the SmB phase of the liquid crystal. |
2 Citations | Translational order parameter in a two-dimensional crystal refers to the degree of positional correlation between molecules, quantifying the alignment in smectic phases of liquid crystalline compounds at different temperatures. |
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