# 2-Local subgroups of finite groups by Kondratev A.S. PDF

By Kondratev A.S.

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Extra info for 2-Local subgroups of finite groups

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What happens if we move the hydrogen in the X-direction (perpendicular to the plane of the molecule)? 3. We have seen that C2 2 = E. This is equivalent to saying that a C2 rotation followed by another C2 rotation is the same as the identity operation. Using the example molecules suggested, work out the single operation which gives the same result as each of the operation products listed below. In each case, apply the rightmost operation first, number the atoms and add any vectors required to help you identify the configuration generated.

If the total rotation exceeds the order of the axis, then the number of operations should be reduced by subtracting the order. 2) (ii) The product of a rotation with a reflection through a vertical mirror plane will give another reflection. In this NH3 example, the rotation does not change the order of the H atoms. A reflection swaps two H atoms and so the order is changed from clockwise to anticlockwise. The result cannot be the identity or a rotation, so another mirror plane is the only choice.

27 identify all of the rotation axes present, giving the order of each axis and describing any that form a set of identical axes. You should make sketches of the molecules viewed from different directions to illustrate your answer. 2. 27. 3. 27 and use the rotation axes you have found to label them as σv , σd or σh . 27 Example molecules for symmetry analysis. 4. 27? 5. Draw molecular structures of each of the isomers of difluorobenzene and identify all axes and mirror planes of symmetry for each case.