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TENSOR: Tensor calculation for Point Groups


For the symmetry-adapted form of crystal tensors of magnetically ordered structures see MTENSOR

Tensor calculation for Point Groups
TENSOR provides the symmetry-adapted form of tensor properties for any point (or space) group. On the one hand, a point or space group must be selected. On the other hand, a tensor must be defined by the user or selected from the lists of known equilibrium, linear optical, nonlinear optical and transport tensors, gathered from scientific literature. If a point or space group is defined and a known tensor is selected from the lists the program will obtain the required tensor from an internal database; otherwise, the tensor is calculated live. Live calculation of tensors may take too much time and even exceed the time limit, giving an empty result, if high-rank tensors, and/or a lot of symmetry elements are introduced.
Additionally, TENSOR can be used to derive the symmetry-adapted form of tensor properties for all the corresponding domain-related equivalent structures. To do that, it requires the specification of the space group of the structure, the parent space group and the transformation that relating the settings of both structures.

Further information can be found here and in this reference:

Gallego et al. "Automatic calculation of symmetry-adapted tensors in magnetic and non-magnetic materials: a new tool of the Bilbao Crystallographic Server" Acta Cryst. A (2019) 75, 438-447.

If you are using this program in the preparation of an article, please cite the above reference.


If you are using this program in the preparation of an article, please cite it in the following form:

SV Gallego, J Etxebarria, L Elcoro, ES Tasci and JM Perez-Mato
"Automatic calcuation of symmetry-adapted tensors in magnetic and non-magnetic materials: new tool of the Bilbao Crystallographic Server". Acta Cryst. (2019) A75, 438-447

If you are interested in other publications related to Bilbao Crystallographic Server, click here



Introduce a parent space group and a subgroup and calculate tensors of the resulting domain-related equivalent structures

    Please, enter a point group or a space group:

Point Group number: 1

    Please, choose a tensor by one of these ways:

    Choose a tensor from the lists
Show symmetry-adapted tensors for all the point groups in standard setting
(this overrides previous choices)

Note: those tensors which are null for the selected point or space group are coloured

EQUILIBRIUM TENSORS

OPTICAL TENSORS

NONLINEAR OPTICAL SUSCEPTIBILITY TENSORS

TRANSPORT TENSORS

    Build your own tensor
    - Introduce Jahn's symbol without superscripts. Examples: (1) [[V2][V2]], (2) e{V2}, (3) V2[V2]






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