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The body of the tables contain the characters in the respective irreducible representations for each respective symmetry operation, or set of symmetry operations. The symbol i used in the body of the table denotes the imaginary unit: i 2 = −1. Used in a column heading, it denotes the operation of inversion.
The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).
Robert Mulliken was the first to publish character tables in English (1933), and E. Bright Wilson used them in 1934 to predict the symmetry of vibrational normal modes. [13] For this reason, the notation used to label irreps in the above table is called Mulliken notation and for asymmetric groups it consists of letters A and B with subscripts 1 ...
English: Character tables of binary tetrahedral, octahedral and icosahedral subgroups from "Ueber die Composition der Charaktere einer Gruppe", Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin, Deutsche Akademie der Wissenschaften zu Berlin, 6 April 1899, page 339
[[Category:Character set table templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Character set table templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
An MDL Molfile is a file format for holding information about the atoms, bonds, connectivity and coordinates of a molecule.. The molfile consists of some header information, the Connection Table (CT) containing atom info, then bond connections and types, followed by sections for more complex information.
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Used with Template:chset-tableformat to indicate a printable character table cell. For example, the first four ASCII digit characters "0" through "3" ( Unicode U+0030 through U+0033, decimal 48 through 51) are coded as rows in a character set table like this: