Following the work of Yoshioka et al., we shall assume that the hopping integrals are constant regardless of the atoms, i.e., t

i,j  ≡ t, and E N  = −E B and E C  = 0 [25]. For the numerical calculations, we shall choose E B/t = 0.7, 1.0 and 1.3 [24, 25]. Results and discussion First, we shall discuss the stability of BC2N nanoribbons. Calculated formation energies of BC2N nanoribbons are summarized in Table 1. Here, the formation energy is defined as (2) Table Thiazovivin in vivo 1 Calculated formation energies of BC 2 N nanoribbons for N  =  8 Model A B C D E form (eV) 17.173 17.629 15.446 16.532 where , E Gr, E BN, and are total energies of BC2N nanoribbons, graphene, boron nitride sheet, and hydrogen molecules, respectively. The model C and D BC2N nanoribbons are stable compared with models A and B due to the large number of C-C and B-N bonds. Previously, we considered the BCN nanoribbons where the outermost C atoms were replaced with B and N atoms. In these nanoribbons, H atoms tend to be adsorbed at B atoms [26]. For the model C and D BC2N nanoribbons, however, a termination

of the outermost B atoms is not energetically favorable compared with a termination of the outermost N atoms. Similar behavior can be found for the zigzag and armchair BN nanoribbons [27]. The outermost B (N) atoms are connected with single N (B) atoms for the model C and D BC2N nanoribbons, while the outermost B and N atoms are connected with only C atoms for the previous models’ nanoribbons. ARRY-438162 concentration Such difference BCKDHB between atomic arrangement should lead different tendency on the enegetics. The calculated band structures of BC2N nanoribbons for N = 8 are summarized in Figure 2. The band structure of the model A nanoribbon within DFT shown in Figure 2a(image i) have nearly degenerate band around the Fermi level. In Figure 2a(images ii, iii, and iv), the band structures of the model A nanoribbons within TB model are shown. We observed that the flat bands and the degree of degeneracy depend on E B/t[24]. The band structure for E B/t = 0.7 has the doubly degenerate flat bands at E = 0, but the twofold degeneracy was lifted with increasing E B[24]. The band structure within

DFT resembles to that within TB for E B/t = 1.3 shown in Figure 2a(image iv). The length of the flat bands increase with increasing of E B, since the shift of the Dirac point of BC2N sheet increases [24]. Figure 2 The band structures of BC 2 N nanoribbons of the models A (a), B (b), C (c), and D (d) for N   = 8. In each panel, the result within DFT is shown in (i) and those within TB model are shown in (ii, iii, iv). Note that the center of the energy, E = 0, does not mean the Fermi level in models C and D within TB model. In (c – iv) and (d – iv), the improved band structures by adding the extra site energies at the outermost atoms are indicated by the blue dotted lines. The band structures of the model B nanoribbons also show similar dependence.