It seems to me that CO2, since it can be linearly rotated around the z-axis without change of shape, ought to be in the C∞v point group. However, in all the character tables I can find, it's listed as a D∞h. What's the difference between these two, and why does CO2 fall in the D∞h and not the C∞v?
Answer
Both are linear with a C∞ axis, but D∞h has a center of inversion and C∞v does not.
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