Discussion
Carbon dioxide, being linear with 3 atoms, has how many fundamental vibrational modes?
Answer: A
Correct answer: 4
Carbon dioxide is linear, so the formula is
\[ 3N - 5 = 3(3) - 5 = 4 \]The four are the symmetric stretch, the asymmetric stretch, and two degenerate bends at right angles to each other. Only three frequencies appear, since the bends coincide, and only two bands are seen in the infrared, since the symmetric stretch produces no dipole change.
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