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31 maj 2016 · The symmetry of a molecule or ion can be described in terms of the complete collection of symmetry operations it possesses. The symmetry elements that a molecule (and any other 3-D object) may possess are discussed below.
- 3.2: Symmetry Operations and Elements
The inversion operation requires a point of symmetry (a...
- 3.2: Symmetry Operations and Elements
A molecule has a center of symmetry when, for any atom in the molecule, an identical atom exists diametrically opposite this center an equal distance from it. In other words, a molecule has a center of symmetry when the points (x,y,z) and (−x,−y,−z) are identical.
Center of Symmetry (i) The molecular geometry is said to possess the center of symmetry if a rotation through 180° followed by the perpendicular reflection generates an indistinguishable image.
The inversion operation requires a point of symmetry (a center of symmetry within a molecule). In other words, a point at the center of the molecule that can transform (x,y,z) into (-x,-y,-z) coordinate. Structures of tetrahedron, triangles, and pentagons lack an inversion center.
From the standpoint of infrared and Raman spectroscopy, molecules are classified using the five symmetry elements: (1) a center of symmetry designated by i, (2) a p-fold rotation axis of symmetry designated by Cp, (3) planes of symmetry designated by σ with subscripts v, h, or d depending on whether the plane is a vertical, a horizontal, or a di...
i - a centre of symmetry. Inversion through the centre of symmetry leaves the molecule unchanged. Inversion consists of passing each point through the centre of inversion and out to the same distance on the other side of the molecule. Sn - an n-fold improper rotation axis (also called a rotary-reflection axis).
Center of Symmetry. If a straight line drawn from each atom of a molecule through a certain point meets an equivalent atom equidistant from the point, we call the point the center of symmetry of the molecule. The center of symmetry may or may not be occupied by an atom. The designation for the center ofsymmetry, or center ofinversion, is i.
