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  2. Center of symmetry or inversion center, abbreviated i. 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.
    en.wikipedia.org/wiki/Molecular_symmetry
    en.wikipedia.org/wiki/Molecular_symmetry
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    What is a centre of symmetry?If the set of fixed points of the symmetry group of an object is a singleton then the object has a specific centre of symmetry. The centroid and centre of mass, if defined, are this point. Another meaning of "centre of symmetry" is a point with respect to which inversion symmetry applies.
    What is a center of symmetry in a molecule?Inversion operates with respect to a point called a center of symmetry (also known as an inversion center ). It gives the same result to rotating a molecule around C 2 axis then reflecting it with respect to a mirror plane that is perpendicular to C 2. For example, SF 6 in Figure 4.1.1.2 4.1.1. 2 has an inversion point at the center S.
    What is symmetry in geometry?For a geometric object, symmetry is a correspondence between pairs of points that are equally positioned about a point, line or plane. Begin learning about symmetry with: If points of a figure are equally positioned about a line, then we say the figure has reflection symmetry, or sometimes mirror symmetry.
    Does symmetry apply to the centre of mass?In the case of a physical body, if for the symmetry not only the shape but also the density is taken into account, it applies to the centre of mass . If the set of fixed points of the symmetry group of an object is a singleton then the object has a specific centre of symmetry. The centroid and centre of mass, if defined, are this point.
     
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    WEBJan 19, 2022 · For a geometric object, symmetry is a correspondence between pairs of points that are equally positioned about a point, line or plane. Explorations. Begin learning about symmetry with: Symmetric

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