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. 2016 Dec 16;120(51):29463–29475. doi: 10.1021/acs.jpcc.6b09532

Table 3. Length (Lx) Dependence (in Å) of the Conductivity σx along the Length of the GNR in Units of Inline graphic(in Bold), and LUMO–HOMO Gaps in eV, for Various Constant Width (Ly) Armchair GNRs Consisting of n (n = 3, 4, 6, 8, 10, 13, 18, 20, 24)× Armchair Rings along the x-axis (Perpendicular to the Zigzag Edges) and m (m = 3, 4, 5) Rings along Their Width, with Widths about 9.2 Å (3 Rings, 3×), 11.7 Å (4 Rings, 4×), and 14.1 Å (5 Rings, 5×), Respectively.

    10× 13× 18× 20× 24×
GNR width (Ly)/Å properties Lx Lx Lx Lx Lx Lx Lx Lx Lx
    13.6 17.9 26.5 34.9 43.6 56.5 77.8 86.5 103.6
Ly = 9.2 Inline graphic 0.03 0.08 0.37 1.04 2.31 5.88 18.53 26.66 53.20
L–H(eV) 1.239 0.729 0.263 0.144 0.102 0.074 0.051 0.046 2.68a 0.037
Ly = 11.7 Inline graphic 0.04 0.11 0.38 1.01 2.15 5.27 16.04 22.94 45.16
L–H (eV) 0.589 0.320 0.169 0.119 0.093 0.070 0.049 0.044 1.75a 0.037
5× Ly = 14.1 Inline graphic 0.04 0.11 0.39 1.11 2.19 5.28 16.62 24.54 48.93
H–L (eV) 0.386 0.254 0.156 0.114 0.090 0.068 0.049 0.044 0.45a 0.037
a

The underlined numbers in the last column correspond to the gap-defining (“effective”) LUMO–HOMO gaps (i.e., the gaps between HOMO–1 and LUMO+1 in the present case, see text).