Table. Relaxed parameters of all 300 single-walled carbon nanotubes with radii between 2 and 12 angstroems obtained within a non-orthogonal tight-binding model [1,2]. The columns contain (left to right) the tube notation, the tube indices, radius, translation period, parameters t' and Phi' of the screw operation coiciding one of the atoms of the two-atom unit cell with the other one. References 1. V. N. Popov, New J. Phys. 6 (2004) 1-17. 2. V. N. Popov and L. Henrard, Phys. Rev. B 70 (2004) 115407. TUBE L1 L2 R, ang. T, ang. t', ang. Phi', rad (_3,_3) 3 3 2.12492 2.45839 0.00000 0.69061 (_4,_2) 4 2 2.13983 11.26925 0.27476 0.66871 (_5,_1) 5 1 2.24838 23.67008 0.51096 0.60563 (_6,_0) 6 0 2.41987 4.24186 0.71363 0.52360 (_4,_3) 4 3 2.43096 25.96555 0.11560 0.59003 (_5,_2) 5 2 2.50227 8.85849 0.34488 0.56155 (_6,_1) 6 1 2.62785 27.82279 0.54302 0.51013 (_4,_4) 4 4 2.75825 2.46190 0.00000 0.52144 (_5,_3) 5 3 2.78686 29.83432 0.20613 0.51083 (_7,_0) 7 0 2.79306 4.25392 0.71029 0.44880 (_6,_2) 6 2 2.86868 15.36484 0.39479 0.48162 (_7,_1) 7 1 3.00574 10.69953 0.56675 0.44025 (_5,_4) 5 4 3.09621 33.27186 0.08978 0.46157 (_6,_3) 6 3 3.14917 11.26753 0.26975 0.44745 (_8,_0) 8 0 3.17870 4.25230 0.71186 0.39270 (_7,_2) 7 2 3.24584 34.85703 0.43673 0.42108 (_8,_1) 8 1 3.38368 36.37008 0.58210 0.38687 (_5,_5) 5 5 3.42461 2.46021 0.00000 0.41779 (_6,_4) 6 4 3.44899 18.56286 0.16470 0.41205 (_7,_3) 7 3 3.51480 37.85086 0.31938 0.39662 (_9,_0) 9 0 3.56188 4.25531 0.71181 0.34907 (_8,_2) 8 2 3.62440 6.50432 0.46633 0.37345 (_6,_5) 6 5 3.76395 40.66742 0.07380 0.37871 (_9,_1) 9 1 3.76979 40.62423 0.59769 0.34501 (_7,_4) 7 4 3.80659 13.69818 0.22190 0.37085 (_8,_3) 8 3 3.88860 41.91316 0.36184 0.35556 (10,_0) 10 0 3.94390 4.25832 0.71067 0.31416 (_9,_2) 9 2 4.00221 43.24507 0.49048 0.33512 (_6,_6) 6 6 4.09826 2.45979 0.00000 0.34827 (_7,_5) 7 5 4.11321 44.61599 0.13803 0.34527 (10,_1) 10 1 4.15773 14.94486 0.60681 0.31108 (_8,_4) 8 4 4.17140 11.27485 0.26832 0.33589 (_9,_3) 9 3 4.26360 15.36426 0.39472 0.32174 (11,_0) 11 0 4.33841 4.25637 0.71083 0.28560 (10,_2) 10 2 4.38985 23.70844 0.51134 0.30369 (_7,_6) 7 6 4.43730 48.02556 0.06242 0.32090 (_8,_5) 8 5 4.47412 16.12049 0.18768 0.31600 (_9,_4) 9 4 4.54111 49.16869 0.30957 0.30662 (11,_1) 11 1 4.54295 49.08577 0.61511 0.28329 (10,_3) 10 3 4.64183 50.19567 0.42126 0.29341 (12,_0) 12 0 4.72575 4.25777 0.71034 0.26180 (_7,_7) 7 7 4.77199 2.45918 0.00000 0.29871 (11,_2) 11 2 4.77461 17.20320 0.52731 0.27762 (_8,_6) 8 6 4.78867 25.88407 0.11735 0.29656 (_9,_5) 9 5 4.83577 52.31827 0.23067 0.29075 (10,_4) 10 4 4.91413 8.86731 0.34140 0.28152 (12,_1) 12 1 4.93144 53.39110 0.62493 0.26003 (11,_3) 11 3 5.02440 54.35338 0.44560 0.26953 (_8,_7) 8 7 5.11188 55.34541 0.05407 0.27835 (13,_0) 13 0 5.11355 4.25849 0.70991 0.24166 (_9,_6) 9 6 5.14211 18.56085 0.16299 0.27516 (12,_2) 12 2 5.15718 27.94230 0.54184 0.25555 (10,_5) 10 5 5.20264 11.26424 0.26902 0.26889 (11,_4) 11 4 5.29012 57.26318 0.36889 0.26002 (13,_1) 13 1 5.31940 19.19702 0.62995 0.24025 (12,_3) 12 3 5.40410 6.50604 0.46525 0.24907 (_8,_8) 8 8 5.44647 2.45883 0.00000 0.26152 (_9,_7) 9 7 5.46270 59.05264 0.10245 0.25994 (10,_6) 10 6 5.50227 29.79582 0.20238 0.25608 (14,_0) 14 0 5.50530 4.25694 0.71032 0.22440 (13,_2) 13 2 5.54409 60.13223 0.55530 0.23669 (11,_5) 11 5 5.57143 20.12396 0.30063 0.24983 (12,_4) 12 4 5.66778 15.35641 0.39462 0.24144 (14,_1) 14 1 5.70755 61.88142 0.63566 0.22328 (_9,_8) 9 8 5.78621 62.73229 0.04778 0.24579 (13,_3) 13 3 5.78663 62.77343 0.48237 0.23149 (10,_7) 10 7 5.81458 20.99125 0.14384 0.24354 (11,_6) 11 6 5.86752 63.55002 0.23801 0.23918 (15,_0) 15 0 5.89397 4.25771 0.71001 0.20944 (14,_2) 14 2 5.93263 10.71225 0.56439 0.22038 (12,_5) 12 5 5.93988 64.55912 0.32930 0.23307 (13,_4) 13 4 6.04631 21.85869 0.41544 0.22517 (15,_1) 15 1 6.09863 66.08715 0.64052 0.20852 (_9,_9) 9 9 6.12049 2.45913 0.00000 0.23244 (10,_8) 10 8 6.13476 33.23450 0.09123 0.23144 (11,_7) 11 7 6.16748 67.04378 0.18100 0.22879 (14,_3) 14 3 6.17267 66.88526 0.49702 0.21608 (12,_6) 12 6 6.23395 11.26407 0.26836 0.22421 (16,_0) 16 0 6.28235 4.25868 0.70989 0.19635 (13,_5) 13 5 6.31807 68.58952 0.35395 0.21818 (15,_2) 15 2 6.31855 68.53042 0.57334 0.20612 (14,_4) 14 4 6.42766 34.84602 0.43328 0.21085 (10,_9) 10 9 6.46207 70.07629 0.04275 0.22000 (11,_8) 11 8 6.48677 23.44186 0.12896 0.21844 (16,_1) 16 1 6.48559 23.46449 0.64518 0.19561 (12,_7) 12 7 6.53551 70.75995 0.21311 0.21520 (15,_3) 15 3 6.55549 23.72506 0.51074 0.20262 (13,_6) 13 6 6.60407 71.55257 0.29461 0.21069 (17,_0) 17 0 6.67450 4.25746 0.71013 0.18480 (14,_5) 14 5 6.69651 24.20428 0.37445 0.20499 (16,_2) 16 2 6.70439 36.44263 0.58369 0.19362 (10,10) 10 10 6.79586 2.45938 0.00000 0.20917 (11,_9) 11 9 6.80415 74.02327 0.08249 0.20865 (15,_4) 15 4 6.80879 73.92442 0.45102 0.19821 (12,_8) 12 8 6.84187 18.56416 0.16266 0.20650 (17,_1) 17 1 6.87722 74.58278 0.64770 0.18416 (13,_7) 13 7 6.89897 24.94665 0.24233 0.20319 (16,_3) 16 3 6.93997 75.43746 0.52267 0.19065 (14,_6) 14 6 6.97666 37.81574 0.31942 0.19865 (18,_0) 18 0 7.06313 4.25794 0.70994 0.17453 (15,_5) 15 5 7.07376 15.34878 0.39342 0.19320 (17,_2) 17 2 7.09577 25.65822 0.58868 0.18249 (11,10) 11 10 7.13728 77.45608 0.03872 0.19913 (12,_9) 12 9 7.15778 25.91691 0.11676 0.19801 (16,_4) 16 4 7.19152 6.50459 0.46487 0.18689 (13,_8) 13 8 7.20676 77.97018 0.19280 0.19549 (14,_7) 14 7 7.26510 11.26563 0.26811 0.19220 (18,_1) 18 1 7.26747 78.86518 0.65198 0.17400 (17,_3) 17 3 7.33332 79.40082 0.53068 0.17993 (15,_6) 15 6 7.34990 8.86331 0.34105 0.18783 (16,_5) 16 5 7.45176 80.99175 0.41209 0.18268 (19,_0) 19 0 7.45395 4.25814 0.70968 0.16535 (11,11) 11 11 7.47309 2.45869 0.00000 0.19028 (12,10) 12 10 7.48465 40.58546 0.07459 0.18968 (18,_2) 18 2 7.48090 40.65908 0.59615 0.17259 (13,_9) 13 9 7.51434 81.58236 0.14803 0.18818 (14,_8) 14 8 7.56552 13.68912 0.22091 0.18566 (17,_4) 17 4 7.57161 82.38524 0.47913 0.17684 (15,_7) 15 7 7.63764 82.75737 0.29119 0.18218 (19,_1) 19 1 7.65725 27.70415 0.65464 0.16488 (18,_3) 18 3 7.71532 27.90536 0.54089 0.17042 (16,_6) 16 6 7.72528 41.92444 0.36004 0.17802 (12,11) 12 11 7.81412 84.85187 0.03540 0.18187 (13,10) 13 10 7.83425 28.33463 0.10653 0.18094 (17,_5) 17 5 7.83408 28.35699 0.42665 0.17312 (20,_0) 20 0 7.84539 4.25773 0.71000 0.15708 (14,_9) 14 9 7.87647 85.30048 0.17641 0.17908 (19,_2) 19 2 7.87259 85.55078 0.60219 0.16368 (15,_8) 15 8 7.93402 85.94481 0.24467 0.17647 (18,_4) 18 4 7.96065 43.18305 0.48933 0.16768 (16,_7) 16 7 8.00830 28.98008 0.31283 0.17317 (20,_1) 20 1 8.04288 87.50178 0.65875 0.15670 (17,_6) 17 6 8.10280 87.98074 0.37811 0.16913 (19,_3) 19 3 8.10145 88.07053 0.55031 0.16183 (12,12) 12 12 8.14936 2.45891 0.00000 0.17439 (13,11) 13 11 8.15902 88.52887 0.06836 0.17398 (14,10) 14 10 8.18692 44.47106 0.13587 0.17283 (18,_5) 18 5 8.21913 89.04392 0.43882 0.16447 (15,_9) 15 9 8.23619 29.77204 0.20246 0.17083 (21,_0) 21 0 8.23508 4.25765 0.70975 0.14960 (20,_2) 20 2 8.26135 14.95897 0.60676 0.15566 (16,_8) 16 8 8.29919 11.26407 0.26848 0.16820 (19,_4) 19 4 8.34251 30.23797 0.50110 0.15947 (17,_7) 17 7 8.38083 91.07654 0.33220 0.16492 (21,_1) 21 1 8.44131 91.45173 0.65804 0.14925 (18,_6) 18 6 8.48178 15.35613 0.39393 0.16105 (13,12) 13 12 8.48904 92.24853 0.03260 0.16737 (20,_3) 20 3 8.48893 92.33033 0.55859 0.15405 (14,11) 14 11 8.50531 30.83178 0.09829 0.16668 (15,10) 15 10 8.54484 18.56219 0.16309 0.16525 (16,_9) 16 9 8.59432 93.42941 0.22662 0.16322 (19,_5) 19 5 8.60150 93.21556 0.45196 0.15665 (22,_0) 22 0 8.62563 4.25809 0.70966 0.14280 (21,_2) 21 2 8.64998 94.05366 0.61188 0.14836 (17,_8) 17 8 8.66880 31.38839 0.28897 0.16052 (20,_4) 20 4 8.72762 23.72124 0.51035 0.15198 (18,_7) 18 7 8.75495 95.17237 0.35014 0.15734 (13,13) 13 13 8.82609 2.45885 0.00000 0.16099 (22,_1) 22 1 8.82795 31.93584 0.66134 0.14249 (14,12) 14 12 8.83203 48.04149 0.06332 0.16074 (15,11) 15 11 8.86008 96.30868 0.12556 0.15977 (19,_6) 19 6 8.86066 96.29450 0.40835 0.15365 (21,_3) 21 3 8.87792 10.71884 0.56440 0.14693 (16,10) 16 10 8.90441 16.11660 0.18743 0.15821 (17,_9) 17 9 8.96419 97.35522 0.24842 0.15609 (20,_5) 20 5 8.98224 6.50392 0.46468 0.14958 (23,_0) 23 0 9.01758 4.25757 0.70982 0.13659 (18,_8) 18 8 9.03608 49.15212 0.30816 0.15350 (22,_2) 22 2 9.03982 49.14901 0.61654 0.14171 (21,_4) 21 4 9.11811 98.92375 0.51803 0.14512 (19,_7) 19 7 9.13229 33.08776 0.36577 0.15036 (14,13) 14 13 9.16442 99.70542 0.03024 0.15503 (15,12) 15 12 9.18320 33.23905 0.09082 0.15442 (16,11) 16 11 9.22188 99.90557 0.15049 0.15322 (23,_1) 23 1 9.21513 100.24301 0.66504 0.13634 (20,_6) 20 6 9.24273 50.21708 0.42183 0.14686 (17,10) 17 10 9.26737 100.54417 0.20955 0.15162 (22,_3) 22 3 9.26576 100.70445 0.57057 0.14048 (18,_9) 18 9 9.33098 11.26749 0.26840 0.14955 (21,_5) 21 5 9.36149 101.84814 0.47597 0.14303 (24,_0) 24 0 9.40763 4.25801 0.70977 0.13090 (19,_8) 19 8 9.41356 102.29894 0.32534 0.14695 (23,_2) 23 2 9.42834 34.18118 0.62029 0.13563 (14,14) 14 14 9.50533 2.45822 0.00000 0.14956 (22,_4) 22 4 9.50414 17.20234 0.52661 0.13888 (15,13) 15 13 9.51014 103.27086 0.05860 0.14925 (20,_7) 20 7 9.50839 103.38975 0.38044 0.14397 (16,12) 16 12 9.53224 25.92238 0.11673 0.14855 (17,11) 17 11 9.57705 34.63848 0.17397 0.14723 (24,_1) 24 1 9.60776 104.45260 0.66670 0.13068 (21,_6) 21 6 9.62324 34.85009 0.43355 0.14063 (18,10) 18 10 9.62834 52.37578 0.23167 0.14561 (23,_3) 23 3 9.65743 104.81372 0.57554 0.13453 (19,_9) 19 9 9.70204 105.47825 0.28680 0.14345 (22,_5) 22 5 9.74924 106.01627 0.48574 0.13701 (20,_8) 20 8 9.78825 8.86436 0.34105 0.14095 (25,_0) 25 0 9.79774 4.25833 0.70972 0.12566 (24,_2) 24 2 9.81923 53.32551 0.62255 0.13005 (15,14) 15 14 9.84112 107.07742 0.02816 0.14435 (16,13) 16 13 9.85649 35.74141 0.08477 0.14388 (17,12) 17 12 9.89253 107.28236 0.14035 0.14290 (21,_7) 21 7 9.88855 15.35500 0.39403 0.13805 (23,_4) 23 4 9.88645 107.60369 0.53537 0.13315 (18,11) 18 11 9.93648 107.85579 0.19546 0.14160 (19,10) 19 10 9.99861 36.18844 0.25024 0.13987 (25,_1) 25 1 9.99835 36.19119 0.66708 0.12547 (22,_6) 22 6 10.00399 54.38004 0.44490 0.13488 (24,_3) 24 3 10.04521 36.36013 0.58103 0.12908 (20,_9) 20 9 10.07190 109.48811 0.30396 0.13779 (23,_5) 23 5 10.13892 36.65997 0.49286 0.13142 (21,_8) 21 8 10.16309 110.53821 0.35599 0.13534 (15,15) 15 15 10.18143 2.45829 0.00000 0.13960 (16,14) 16 14 10.18645 55.32128 0.05469 0.13934 (26,_0) 26 0 10.18746 4.25765 0.70982 0.12083 (17,13) 17 13 10.20854 111.05450 0.10899 0.13877 (25,_2) 25 2 10.21028 110.86417 0.62589 0.12491 (18,12) 18 12 10.24669 18.56859 0.16297 0.13775 (22,_7) 22 7 10.26795 37.21357 0.40639 0.13260 (24,_4) 24 4 10.27706 27.93639 0.54181 0.12784 (19,11) 19 11 10.29916 112.00804 0.21642 0.13636 (20,10) 20 10 10.36682 11.26759 0.26822 0.13459 (23,_6) 23 6 10.39248 112.67580 0.45374 0.12952 (26,_1) 26 1 10.38770 112.93319 0.66945 0.12065 (25,_3) 25 3 10.43212 113.28980 0.58564 0.12405 (21,_9) 21 9 10.44575 37.86006 0.31965 0.13253 (16,15) 16 15 10.51866 114.36782 0.02631 0.13503 (24,_5) 24 5 10.51872 114.27662 0.50178 0.12633 (17,14) 17 14 10.53226 38.19798 0.07932 0.13468 (22,_8) 22 8 10.54141 57.27961 0.36940 0.13014 (18,13) 18 13 10.56281 114.90571 0.13195 0.13393 (27,_0) 27 0 10.57957 4.25828 0.70981 0.11636 (26,_2) 26 2 10.60164 19.19954 0.62955 0.12015 (19,12) 19 12 10.60633 115.37013 0.18363 0.13283 (23,_7) 23 7 10.65173 115.59233 0.41670 0.12747 (20,11) 20 11 10.66412 38.65985 0.23491 0.13140 (25,_4) 25 4 10.66499 38.64520 0.54776 0.12294 (21,10) 21 10 10.73655 116.74662 0.28527 0.12965 (24,_6) 24 6 10.77283 6.50490 0.46473 0.12464 (27,_1) 27 1 10.78288 117.09894 0.67029 0.11619 (22,_9) 22 9 10.82101 117.67415 0.33420 0.12761 (26,_3) 26 3 10.82294 117.66397 0.59145 0.11939 (16,16) 16 16 10.85852 2.45847 0.00000 0.13085 (17,15) 17 15 10.86211 118.20635 0.05142 0.13071 (18,14) 18 14 10.88364 59.20454 0.10221 0.13020 (25,_5) 25 5 10.91072 23.68596 0.50922 0.12157 (19,13) 19 13 10.91796 39.60340 0.15303 0.12936 (23,_8) 23 8 10.91864 39.57948 0.38222 0.12531 (20,12) 20 12 10.96551 29.83042 0.20324 0.12821 (28,_0) 28 0 10.97012 4.25779 0.70959 0.11220 (27,_2) 27 2 10.99002 119.33876 0.63151 0.11575 (21,11) 21 11 11.03309 119.88355 0.25184 0.12672 (24,_7) 24 7 11.03335 119.85639 0.42830 0.12277 (26,_4) 26 4 11.05127 60.03476 0.55293 0.11838 (22,10) 22 10 11.11033 20.12812 0.30049 0.12502 (25,_6) 25 6 11.15694 121.10351 0.47247 0.12004 (28,_1) 28 1 11.17094 40.48246 0.67237 0.11207 (17,16) 17 16 11.19314 121.82508 0.02476 0.12688 (23,_9) 23 9 11.19749 121.57960 0.34718 0.12299 (18,15) 18 15 11.20973 40.64858 0.07450 0.12656 (27,_3) 27 3 11.21036 40.62080 0.59529 0.11507 (19,14) 19 14 11.23730 122.25386 0.12400 0.12594 (20,13) 20 13 11.27825 122.68953 0.17266 0.12503 (26,_5) 26 5 11.29139 40.91232 0.51703 0.11717 (24,_8) 24 8 11.29735 15.35022 0.39355 0.12080 (21,12) 21 12 11.33408 13.68780 0.22080 0.12382 (29,_0) 29 0 11.36263 4.25794 0.70977 0.10833 (28,_2) 28 2 11.38408 61.82335 0.63480 0.11166 (22,11) 22 11 11.39845 11.26664 0.26845 0.12237 (25,_7) 25 7 11.41363 41.37488 0.43876 0.11840 (27,_4) 27 4 11.44203 124.35886 0.55902 0.11416 (23,10) 23 10 11.47769 124.81394 0.31484 0.12066 (17,17) 17 17 11.53591 2.45845 0.00000 0.12316 (18,16) 18 16 11.53870 62.78657 0.04838 0.12304 (26,_6) 26 6 11.54145 62.72342 0.48190 0.11580 (19,15) 19 15 11.55936 125.77614 0.09623 0.12261 (29,_1) 29 1 11.55639 125.68988 0.67357 0.10820 (24,_9) 24 9 11.57451 41.90203 0.35986 0.11871 (20,14) 20 14 11.59244 20.99665 0.14381 0.12188 (28,_3) 28 3 11.59884 126.03372 0.59862 0.11103 (21,13) 21 13 11.63991 126.60224 0.19138 0.12094 (25,_8) 25 8 11.67892 126.84204 0.40422 0.11657 (27,_5) 27 5 11.67795 126.92952 0.52345 0.11306 (22,12) 22 12 11.69630 63.62335 0.23780 0.11973 (30,_0) 30 0 11.74978 4.25792 0.70974 0.10472 (23,11) 23 11 11.76944 42.62779 0.28321 0.11825 (29,_2) 29 2 11.76937 42.63185 0.63733 0.10784 (26,_7) 26 7 11.79447 128.17654 0.44739 0.11427 (28,_4) 28 4 11.82931 10.71825 0.56425 0.11023 (24,10) 24 10 11.85494 64.41711 0.32828 0.11657 (18,17) 18 17 11.87107 129.15592 0.02333 0.11963 (19,16) 19 16 11.88621 43.10492 0.07025 0.11937 (20,15) 20 15 11.91173 25.91546 0.11691 0.11885 (27,_6) 27 6 11.92552 43.22234 0.48969 0.11182 (21,14) 21 14 11.95057 18.56788 0.16285 0.11808 (25,_9) 25 9 11.95017 129.82606 0.37167 0.11469 (30,_1) 30 1 11.95275 129.75346 0.67336 0.10460 (29,_3) 29 3 11.99162 130.15334 0.60161 0.10727 (22,13) 22 13 12.00688 43.49776 0.20845 0.11706 (26,_8) 26 8 12.05838 21.85630 0.41513 0.11265 (23,12) 23 12 12.06524 131.22396 0.25372 0.11584 (28,_5) 28 5 12.06688 131.01940 0.52905 0.10922