I am not from a chemistry background. I am trying to see how the symmetry operations affect the stiffness tensor which led me in the path of understanding character tables. I am looking at the character table for C6v group and I cannot understand what the factor 2 for C6(z) means. Is it representative of the fact that I can rotate in clockwise and anticlockwise direction?

Please let me know if you need any further information. enter image description here

  • $\begingroup$ Yes.$\mathstrut$ $\endgroup$ Oct 18, 2020 at 6:39
  • $\begingroup$ Shouldn't C2(z) also have a factor of 2 then? $\endgroup$
    – prananna
    Oct 18, 2020 at 6:45
  • $\begingroup$ No, because rotating for $180^\circ$ clockwise and anticlockwise is the same thing. $\endgroup$ Oct 18, 2020 at 7:17
  • $\begingroup$ This answer might help in general chemistry.stackexchange.com/questions/58609/… $\endgroup$
    – porphyrin
    Oct 18, 2020 at 8:19
  • $\begingroup$ @IvanNeretin That makes sense. Thank you $\endgroup$
    – prananna
    Oct 18, 2020 at 8:31


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