The vibrational modes of buckminsterfullerene C60

These are our recommended values for the frequencies of all of the vibrational modes of a C60 molecule. The colored cells correspond to modes which are Raman-active (green and blue) or IR-active (red). By clicking in the mode column, you can view animations of the mode displacement patterns, as calculated from first-principles by Adams, Page, et. al. (citations are given in Table 2.4 of our review listed below). For degenerate modes, the animation displays the pattern for a single arbitrarily selected partner. For this particular first-principles method, the average deviation of the calculated frequencies from our recommended values in the third column is 3.9%.

Modes whose frequencies appear in bold type have been unequivocally identified from Raman, IR, neutron, or fluorescence experiments. For the remaining modes, we looked for very weak peaks in the Raman and IR spectra and assigned them to fundamentals using the following rules: a) individual mode frequencies should not deviate by much more than 5% from first-principles predictions, b) the fundamental frequencies should provide a satisfactory explanation of the second- and higher-order Raman and IR spectra, c) the assignments should be consistent with the measured isotopic dependence of the Ag(2) mode, and d) the assignments should be consistent with the latest high-resolution inelastic neutron scattering experiments. Details of this procedure are discussed in our review article "Vibrational Spectroscopy of C60," by J. Menéndez and J.B. Page, in Light Scattering in Solids VIII, ed. by M. Cardona and G. Güntherodt, Springer, Berlin, 2000 (0.7 MB, pdf file). José Menéndez and John Page welcome feedback and suggestions on the vibrational modes of C60.

 

MODE

DEGENERACY
FREQ. (cm-1)

MODE
DEGENERACY
FREQ. (cm-1)
Hg(1)
5
272

T1g(2)
3
831
T3u(1)
3
343
Gu(4)
4
961
Gu(1)
4
353
T3u(3)
3
973
Hu(1)
5
403
Au
1
984
Hg(2)
5
433
Gg(4)
4
1079
Gg(1)
4
485
Hg(5)
5
1099
Ag(1)
1
496
T1u(3)
3
1182
T1u(1)
3
526
T3u(4)
3
1205
Hu(2)
5
534
Hu(5)
5
1223
T3g(1)
3
553
Hg(6)
5
1252
Gg(2)
4
567
T1g(3)
3
1289
T1g(1)
3
568
Gu(5)
4
1309
T1u(2)
3
575
Gg(5)
4
1310
Hu(3)
5
668
Hu(6)
5
1344
Hg(3)
5
709
T3g(4)
3
1345
Gg(3)
4
736
Gu(6)
4
1422
Hu(4)
5
743
Hg(7)
5
1425
T3u(2)
3
753
T1u(4)
3
1429
T3g(2)
3
756
Ag(2)
1
1470
Gu(2)
4
764
Gg(6)
4
1482
Hg(4)
5
772
T3u(5)
3
1525
Gu(3)
4
776
Hu(7)
5
1567
T3g(3)
3
796
Hg(8)
5
1575