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For a (n, m) inner tube (n ≥ m) with a radius R, there are many possible outer tubes with different indexes of n, Δn, m, Δm, n, Δn ≥ m, Δm, According to the experimental results which yield the average interlayer space of 3.38 Å,2,3 we set the outer tubes' radius to satisfy the condition R, 3.23 Å ≤ Router ≤ R, 3.53 Å. A large amount of cases are considered with m/n ranging from 0 to 1 and with a diameter of d, 2R ranging from <1 to 50 nm. For each given inner tube, total energy calculations by use of the revised K-C potential for all of the possible outer tubes with a radius falling in this range are performed. For each matched inner/outer tube pair, interlayer static sliding and rotation with enough small steps are simulated to find the stable interlayer energy of the system
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outer ≤ R + 3.53 Å. A large amount of cases are considered with m/n ranging from 0 to 1 and with a diameter of d = 2R ranging from <1 to 50 nm. For each given inner tube, total energy calculations by use of the revised K-C potential for all of the possible outer tubes with a radius falling in this range are performed. For each matched inner/outer tube pair, interlayer static sliding and rotation with enough small steps are simulated to find the stable interlayer energy of the system.
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Nagahara, L.A.4
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