Almost any other configuration for the carbon would produce a center of symmetry.

A molecule that lacks a center of symmetry is "polar".

All compounds which exhibit this effect lack a center of symmetry on the molecular scale.

There are, however, achiral figures lacking both plane and center of symmetry.

All piezoelectric classes lack a centre of symmetry.

In each of these spheres, every point can be carried to any other by an appropriate rotation about the center of symmetry.

The molecule must NOT have a center of symmetry.

The g and u subscripts no longer apply because the molecule lacks a center of symmetry.

For objects with several symmetries, the centre of symmetry is the point left unchanged by the symmetric actions.

It has a three-fold rotation axis as well as a center of symmetry and belongs to the space group R3.

Of the thirty-two crystal classes, twenty-one are non-centrosymmetric (not having a centre of symmetry).

Twenty-one of the 32 crystal classes lack a center of symmetry, and of these, 20 are piezoelectric.

Another meaning of "center of symmetry" is a point with respect to which inversion symmetry applies.

More restrictively complementation is "the process of pairing entities on either side of a center of symmetry".

In three dimensions, every figure which possesses a plane of symmetry or a center of symmetry is achiral.

Convolution of a symmetric function with even-derivative coefficients conserves the centre of symmetry.

As an elegant alternative, the gnomon may be located on the circumference of a cylinder or sphere, rather than at its center of symmetry.

Rotation axes (proper and improper), reflection planes, and centers of symmetry are collectively called symmetry elements.

Insufficient evidence has been found to suggest that celsian lacks a center of symmetry, so its space group is I 2/c (Newnham and Megaw, 1960).

However, forbidden transitions are allowed if the centre of symmetry is disrupted, as such apparently forbidden transitions are observed experimentally.

For molecules without a center of symmetry, each vibrational mode may be IR active, Raman active, both, or neither.

If the set of fixed points of the symmetry group of an object is a singleton then the object has a specific center of symmetry.

An example of a shape which has a center of symmetry is a circle (in two dimensions) or the corners of a cube (in three dimensions).

On the other hand, in the cases of e.g. C and D symmetry there is a center of symmetry in the first sense, but no inversion.

However, their centres of symmetry, marked in the table by the symbol " ", do not coincide, so that the composite structure is not itself symmetrical.

All piezoelectric classes lack a centre of symmetry.

For objects with several symmetries, the centre of symmetry is the point left unchanged by the symmetric actions.

Of the thirty-two crystal classes, twenty-one are non-centrosymmetric (not having a centre of symmetry).

Convolution of a symmetric function with even-derivative coefficients conserves the centre of symmetry.

However, forbidden transitions are allowed if the centre of symmetry is disrupted, as such apparently forbidden transitions are observed experimentally.

Disruption of the centre of symmetry occurs for various reasons, such as the Jahn-Teller effect and asymmetric vibrations, complexes are not perfectly symmetric all the time.

Tetrahedral complexes have somewhat more intense colour because mixing d and p orbitals is possible when there is no centre of symmetry, so transitions are not pure d-d transitions.

In molecular spectroscopy, the rule of mutual exclusion states that no normal modes can be both InfraRed and Raman active in a molecule that possesses a centre of symmetry.

In the crystals that exhibit centre of symmetry, natural gyration can not exist, since, due to the Neumann principle, the point symmetry group of the medium should be a subgroup of the symmetry group that describes the phenomena, which are properties of this medium.