1988
DOI: 10.1021/j100319a012
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Normal vibrational modes of buckminsterfullerene

Abstract: The MNDO approximation is employed to compute normal modes of vibration for the proposed c 6 0 isomer known as buckminsterfullerene. Group theoretical invariance theorems are derived to aid in the interpretation of the normal modes. One particularly interesting mode (the sole A, vibration) consists entirely of a rotary oscillation of the pentagonal rings of c 6 0 , with all rings rotating in the same direction.

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Cited by 312 publications
(77 citation statements)
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“…(2) intensity decreases while the H g (7) intensity increases, implying that the C 60 molecules are distorted to a lower symmetry structure. [13,17] The H g modes become broad…”
mentioning
confidence: 99%
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“…(2) intensity decreases while the H g (7) intensity increases, implying that the C 60 molecules are distorted to a lower symmetry structure. [13,17] The H g modes become broad…”
mentioning
confidence: 99%
“…This is important evidence for the preservation of fullerenes or fullerenelike fragments, consisting of hexagonal and pentagonal carbon rings, in the high pressure phase and in the quenched sample released from 44 GPa. Since the H g modes are related to bending vibrations of C-C bonds in C 60 molecules, [17] the broadening of the H g bands suggests an amorphization of the C 60 molecules under pressure, while the frequency shift of the H g modes in the released sample compared with those of the pristine sample is likely due to the covalent bonds formed in the collapsed fragments. Furthermore, in the spectra of the released solvated sample we observe an additional Raman peak at  1800 cm -1 , which probably suggests that the released solvated sample has a structure richer in sp 3 carbon.…”
mentioning
confidence: 99%
“…The charge density was fitted to Gaussian s-like functions with five independent exponents per atom. In addition, bond centred s-and p-Gaussian orbitals were placed at the centres 3− 60 293 Stanton and Newton (1988). b Newton and Stanton (1986).…”
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confidence: 99%
“…MNDO, AM1, or QCFF/PI [39,[43][44][45]). Within these early calculations, the best agreement for the 29 highlighted frequencies in Table 4 holds for the QCFF/PI calculations of Negri et al [45], with an average deviation from experiment of 5.7%.…”
Section: Modementioning
confidence: 99%
“…The strengths are normalized to that for T 1u (1), and for comparison, the last column gives the strength ratios measured by Chase et al [84]. Columns two and three give results from empirical tight binding models [113,114], the fourth column gives ratios from quantum chemistry semi-empirical MNDO calculations [43], and the results in columns five through seven are from three implementations of first-principles LDA techniques. These are the pseudoatomic orbital scheme [54], which we have previously used to compute the geometries and normal modes of a variety of fullerenes [53] (column five), the Car-Parrinello method [48] as used by Bertsch et al [113] (column six), and Density Functional Perturbation Theory calculations of Giannozzi and Baroni [47] (column seven).…”
Section: Infrared Absorption Intensities Of C 60mentioning
confidence: 99%