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- Like in chemisorption one may describe bond formation using the Arrhenius law.
- From using exp(−β/kT) for adding a pentagon next to a pentagon of a polyhedra we get the avoidance rule for pentagons for C60- Of course, two n. n. p may result if this closes deformed structures and enough lowering of surface energy is achieved this way.
- One estimates using previous results nc ∽ 13, thus bicycling at n ≳ 26. Then, the structure (ring - CN - ring), should occur for n ≳ 35, N ∼ 10. For larger rings Cn the polycyclic transitions and CN formation is more effective.
- From pn+1 = qpn and p′n+1 = (1 — q)pn , where p′n+1 refers to bad polyhedra, one gets Pn+1 = IPn + ?(1 - q)Pn and thus qeH = (2–9)q.
- Assuming that for combined growth, first CN-chain, then addition of C2 C3 to get C60, one has fn =1 for first steps, then fn < 1.
- For geometrical, bond-length reason one estimates that on the surface of the sphere with Rmin ∽ 3Å there is space for 69 C-atoms, 25 Si-atoms, and 26 Ge-atoms, which already is in fair agreement with C60, Si20, Ge20. Hence, C20 involves a much larger bending energy Δεbend than C60 and consequently Δεbend > Aebond, since Aebend = Aebond holds just for C60 In conclusion, C20 is for energetic reasons not possible.
- Note, Cn -rings are stiffer due to the excess electron. This explains the observation that C60 growth is prevented or more difficult for C- n-ring.