If a symmetry element is present throughout the reaction mechanism ( reactant, transition state, and product ), it is called a conserved symmetry element.
22.
Correlation lines are drawn to connect molecular orbitals in the starting material and the product that have the same symmetry with respect to the conserved symmetry element.
23.
The piezomagnetic effect is made possible by an absence of certain symmetry elements in a crystal structure; specifically, symmetry under time reversal forbids the property.
24.
A symmetry element is a point of reference ( usually a plane or a line ) about which an object is symmetric with respect to a symmetry operation.
25.
When describing the improper rotation symmetry element ( in 3 dimensional Euclidean space ) it is always specified that the reflection plane be perpendicular to the rotation axis.
26.
If there are no mirror planes as symmetry elements then the mirror image of a crystal cannot be brought into superposition with the original crystal by rotation or translation.
27.
In order to correlate orbitals of the starting material and product, one must determine whether the molecular orbitals are symmetric or antisymmetric with respect to these symmetry elements.
28.
His 1922 book, The Analytical Expression of the Results of the Theory of Space Groups, contained tables with the positional coordinates, both general and special, permitted by the symmetry elements.
29.
That is, molecular orbitals that are symmetric with respect to the symmetry element in the starting material must be correlated to ( transform into ) orbitals symmetric with respect to that element in the product.
30.
The Hermann Mauguin notation, compared with the Schoenflies notation, is preferred in crystallography because it can easily be used to include translational symmetry elements, and it specifies the directions of the symmetry axes.
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