The Stone–Wales bond rotation
isomerization of nonicosahedral
C60 (C2v-C60) into isolated-pentagon
rule following icosahedral C60 (Ih-C60 or IPR-C60) is a limiting step in the synthesis of Ih-C60. However, extensive previous studies indicate
that the potential energy barrier of the Stone–Wales bond rotation
is between 6 and 8 eV, extremely high to allow for bond rotation at
the temperatures used to produce fullerenes conventionally. This is
also despite data indicating a possible fullerene road mechanism that
necessitates low-temperature annealing. However, these previous investigations
often have limiting factors, such as using the harmonic approximation
to determine free energies at high temperatures or considering only
the reverse Ih-C60 to C2v-C60 transition as a basis. Indeed, when the difference in energy between
Ih-C60 and C2v-C60 is
accounted for, this barrier is generally reduced by ∼1.5 eV.
Thus, utilizing the recently developed density functional tight binding
metadynamics (DFTB-MTD) interface, the effects of temperature on the
bond rotation in the conversion of C2v-C60 to
Ih-C60 have been investigated. We found that
Stone–Wales bond rotations are complex processes with both
in-plane and out-of-plane transition states, and which transition
path dominates depends on temperature. Our results clearly show that
at temperatures of 2000 K, the free energy for a C2v-C60 to Ih-C60 transition is only ∼4.21
eV and further reduces to ∼3.77 eV at 3000 K. This translates
to transition times of ∼971 μs at 2000 K and ∼34
ns at 3000 K, indicating that defect healing is a fast process at
temperatures typical of arc jet or laser ablation experiments. Conversely,
below ∼2000 K, bond rotation becomes prohibitively slow, putting
a lower threshold limit on the temperature of fullerene formation
and subsequent annealing.