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ii dependence on chiral angle, as shown in the Kataura plot. There are different (n, m) combinations for the mod calculation, such as mod(n - m, 3), mod(2 n + m, 3) and mod(2 m + n, 3), that lead to the three different MOD types, although MOD1 and MOD2 can be interchanged for the same (n, m) SWNT depending on the combination one chooses. We here use mod(2 n + m, 3) because the 2 n + m families group SWNTs with similar diameter and make clearly defined pattern in the Kataura plot. Hereafter we call MOD0, MOD1 and MOD2 the three SWNT classes, and the many 2 n + m values number the SWNT families.
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