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7
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0000785812
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R. A. Jishi, L. Venkataraman, M. S. Dresselhaus, and G. Dresselhaus, Phys. Rev. B 51, 11 176 (1995).
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Jishi, R.A.1
Venkataraman, L.2
Dresselhaus, M.S.3
Dresselhaus, G.4
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11
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85037907093
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I. Milošević, A. Damjanović, and M. Damnjanović, in Quantum Mechanical Simulation Methods for Studying Biological Systems, edited by D. Bicout and M. Field (Springer-Verlag, Berlin, 1996), Chap. XIV.
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I. Milošević, A. Damjanović, and M. Damnjanović, in Quantum Mechanical Simulation Methods for Studying Biological Systems, edited by D. Bicout and M. Field (Springer-Verlag, Berlin, 1996), Chap. XIV.
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13
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85037911208
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The following standard notation is used: (Formula presented) is the vertical mirror plane, I is the (Formula presented) identity matrix, while a denotes the translational period. Also, (Formula presented) is the rotation for (Formula presented) around the z axis, where (Formula presented) and (Formula presented) are coprime integers. Instead of this helical group (Formula presented), generated by (Formula presented), the groups generated by (Formula presented), with (Formula presented) (Formula presented), give the same full symmetry group (Ref. 6). Among these (Formula presented)’s there is at least one that is coprime with q; with this (Formula presented) it is obvious that the set (Formula presented) contains the rotations for all the multiples of (Formula presented) (followed by some translations).
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The following standard notation is used: (Formula presented) is the vertical mirror plane, I is the (Formula presented) identity matrix, while a denotes the translational period. Also, (Formula presented) is the rotation for (Formula presented) around the z axis, where (Formula presented) and (Formula presented) are coprime integers. Instead of this helical group (Formula presented), generated by (Formula presented), the groups generated by (Formula presented), with (Formula presented) (Formula presented), give the same full symmetry group (Ref. 6). Among these (Formula presented)’s there is at least one that is coprime with q; with this (Formula presented) it is obvious that the set (Formula presented) contains the rotations for all the multiples of (Formula presented) (followed by some translations).
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14
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85037908974
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T. Vuković, Ph.D. thesis, University of Beograd, 1999.
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T. Vuković, Ph.D. thesis, University of Beograd, 1999.
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15
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0000772160
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W. A. de Heer, et al., Science 268, 845 (1995).
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de Heer, W.A.1
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16
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26744475447
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Y. Saito, T. Yoshikawa, S. Bandow, M. Tomita, and T. Hayashi, Phys. Rev. B 48, 1907 (1993).
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Saito, Y.1
Yoshikawa, T.2
Bandow, S.3
Tomita, M.4
Hayashi, T.5
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17
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33744603046
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R. Saito, M. Fujita, G. Dresselhaus, and M. Dresselhaus, Appl. Phys. Lett. 60, 2204 (1992).
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Saito, R.1
Fujita, M.2
Dresselhaus, G.3
Dresselhaus, M.4
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19
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0001143022
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The third-rank tensor (Formula presented) used in that paper is related to the tensor A by (Formula presented) (Formula presented) is the frequency of the incoming light, c the light speed in vacuum, and (Formula presented) the Levi-Civita tensor.
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S. Tasaki, K. Maekawa, and T. Yamabe, Phys. Rev. B 57, 9301 (1998). The third-rank tensor (Formula presented) used in that paper is related to the tensor A by (Formula presented) (Formula presented) is the frequency of the incoming light, c the light speed in vacuum, and (Formula presented) the Levi-Civita tensor.
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Phys. Rev. B
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Tasaki, S.1
Maekawa, K.2
Yamabe, T.3
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33
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85037913199
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Since the whole zigzag and armchair nanotubes are produced by the action of the subgroup (Formula presented) on an arbitrary atom, each atom is invariant under one (nontrivial) transformation of the full symmetry group (the stabilizers of the atoms are nontrivial). For example, the starting atom is invariant under the point group (Formula presented) in the zigzag tube, and under (Formula presented) in the armchair tube.
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Since the whole zigzag and armchair nanotubes are produced by the action of the subgroup (Formula presented) on an arbitrary atom, each atom is invariant under one (nontrivial) transformation of the full symmetry group (the stabilizers of the atoms are nontrivial). For example, the starting atom is invariant under the point group (Formula presented) in the zigzag tube, and under (Formula presented) in the armchair tube.
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34
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0000535775
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A. Charlier, E. Mc Rae, M. F. Charlier, A. Spire, and S. Forster, Phys. Rev. B 57, 6689 (1998).
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Phys. Rev. B
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Charlier, A.1
Mc Rae, E.2
Charlier, M.F.3
Spire, A.4
Forster, S.5
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