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Supplementary material to: Density functional theory with fractional orbital occupations

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occupations

Jeng-Da Chai

Department of Physics, Center for Theoretical Sciences, and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan

(Dated: January 24, 2012)

References (S2).

Total energies and Cartesian coordinates for the lowest singlet and triplet states of n-acenes (n = 2 to 46) by spin-unrestricted TAO-LDA (θ = 7 mHartree)/6-31G

(S3 to S88).

TABLE S1. Reaction energies of 30 chemical reactions (S89).

TABLE S2. Equilibrium geometries in EXTS (S89 to S93).

TABLE S3. Singlet-triplet energy gap of n-acenes by KS-DFT/6-31G* (S93).

TABLE S4. Singlet-triplet energy gap of n-acenes by TAO-LDA/6-31G* (S93 to S94).

TABLE S5. Singlet-triplet energy gap of n-acenes by TAO-LDA/6-31G (S94 to S95).

TABLE S6. Active orbital occupation numbers for the lowest singlet states of acenes (S95).

Electronic mail: jdchai@phys.ntu.edu.tw.

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[1] J.-D. Chai and M. Head-Gordon, J. Chem. Phys. 128, 084106 (2008).

[2] R. A. DiStasio Jr., R. P. Steele, Y. M. Rhee, Y. Shao, and M. Head-Gordon, J. Comput. Chem. 28, 839 (2007).

[3] J. B. Birks, Photophysics of Aromatic Molecules (Wiley, London, 1970).

[4] J. Schiedt and R. Weinkauf, Chem. Phys. Lett. 266, 201 (1997).

[5] N. Sabbatini, M. T. Indelli, M. T. Gandolfi, and V. Balzani, J. Phys. Chem. 86, 3585 (1982).

[6] J. Burgos, M. Pope, Ch. E. Swenberg, and R. R. Alfano, Phys. Status Solidi B 83, 249 (1977).

[7] J. Hachmann, J. J. Dorando, M. Avilés, and G. K.-L. Chan, J. Chem. Phys. 127, 134309 (2007).

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Total energies (in Hartree) and Cartesian coordinates (in angstrom) for the lowest singlet and triplet states of n-acenes (n = 2 to 46) at the level of spin-unrestricted TAO-LDA (θ = 7 mHartree)/6-31G

.

2-acene (singlet), E = -382.3212449480

C 2.42398048 -0.70477355 0.00000000 C 2.42398047 0.70477355 0.00000000 C 1.23599344 -1.39775201 0.00000000 C 1.23599343 1.39775201 0.00000000 C 0.00000000 -0.71495553 0.00000000 C 0.00000000 0.71495554 0.00000000 C -1.23599344 -1.39775201 0.00000000 C -1.23599343 1.39775202 0.00000000 C -2.42398047 -0.70477355 0.00000000 C -2.42398047 0.70477356 0.00000000 H 1.22707212 -2.49677029 0.00000000 H 1.22707212 2.49677029 0.00000000 H -1.22707212 -2.49677029 0.00000000 H -1.22707212 2.49677030 0.00000000 H 3.37722463 1.24838306 0.00000000 H 3.37722465 -1.24838307 0.00000000 H -3.37722464 1.24838307 0.00000000 H -3.37722464 -1.24838307 0.00000000

2-acene (triplet), E = -382.2180209884

C 2.47345093 -0.68473334 0.00000000 C 2.47345104 0.68473333 0.00000000 C 1.23419909 -1.39383337 0.00000000 C 1.23419924 1.39383349 0.00000000 C 0.00000000 -0.71837193 0.00000000 C -0.00000000 0.71837196 0.00000000 C -1.23419917 -1.39383345 0.00000000 C -1.23419917 1.39383343 0.00000000 C -2.47345097 -0.68473339 0.00000000 C -2.47345099 0.68473327 0.00000000 H 1.23202477 -2.49206718 0.00000000 H 1.23202503 2.49206735 0.00000000 H -1.23202489 -2.49206726 0.00000000 H -1.23202490 2.49206727 0.00000000 H 3.41530541 1.24655255 0.00000000 H 3.41530524 -1.24655261 0.00000000 H -3.41530535 1.24655251 0.00000000 H -3.41530528 -1.24655264 0.00000000

3-acene (singlet), E = -534.5626973632

C 4.87112782 -0.70824352 0.00000000 C 4.87112789 0.70824341 0.00000000 C 3.68909893 -1.40166621 0.00000000 C 3.68909905 1.40166621 0.00000000 C 2.44507179 -0.72022074 0.00000000 C 2.44507184 0.72022079 0.00000000 C 1.22590001 -1.39916042 0.00000000 C 1.22590001 1.39916058 0.00000000 C 0.00672822 -0.72022075 0.00000000 C 0.00672818 0.72022080 0.00000000 C -1.23729894 -1.40166618 0.00000000 C -1.23729907 1.40166620 0.00000000 C -2.41932784 -0.70824352 0.00000000 C -2.41932791 0.70824341 0.00000000 H 3.68053801 -2.50053668 0.00000000 H 3.68053817 2.50053672 0.00000000 H 1.22590006 -2.49953292 0.00000000 H 1.22590006 2.49953313 0.00000000 H -1.22873804 -2.50053666 0.00000000 H -1.22873821 2.50053671 0.00000000 H 5.82568925 -1.24940384 0.00000000 H 5.82568938 1.24940367 0.00000000 H -3.37388926 -1.24940385 0.00000000 H -3.37388940 1.24940368 0.00000000

3-acene (triplet), E = -534.4938298497

C 4.91227840 -0.69182595 0.00000000 C 4.91227836 0.69182592 0.00000000 C 3.69300590 -1.39195515 0.00000000 C 3.69300582 1.39195507 0.00000000 C 2.46797152 -0.71718126 0.00000000 C 2.46797156 0.71718120 0.00000000 C 1.22590004 -1.39587120 0.00000000 C 1.22589996 1.39587120 0.00000000 C -0.01617156 -0.71718119 0.00000000 C -0.01617153 0.71718128 0.00000000 C -1.24120582 -1.39195505 0.00000000 C -1.24120592 1.39195515 0.00000000

(4)

C -2.46047836 -0.69182592 0.00000000 C -2.46047842 0.69182594 0.00000000 H 3.68772648 -2.49072437 0.00000000 H 3.68772639 2.49072425 0.00000000 H 1.22590006 -2.49585138 0.00000000 H 1.22590004 2.49585139 0.00000000 H -1.23592641 -2.49072423 0.00000000 H -1.23592653 2.49072435 0.00000000 H 5.85798365 -1.24749726 0.00000000 H 5.85798360 1.24749728 0.00000000 H -3.40618356 -1.24749731 0.00000000 H -3.40618367 1.24749727 0.00000000

4-acene (singlet), E = -686.8022969856

C 4.86849527 0.70960485 0.00000000 C 4.86849540 -0.70960454 0.00000000 C 3.68839532 -1.40304795 0.00000000 C 2.44124772 -0.72252508 0.00000000 C 2.44124761 0.72252500 0.00000000 C 3.68839508 1.40304803 0.00000000 C 1.22790726 -1.40160612 0.00000000 C 0.00000000 -0.72406617 0.00000000 C 0.00000000 0.72406597 0.00000000 C 1.22790714 1.40160582 0.00000000 C -1.22790726 -1.40160612 0.00000000 C -2.44124772 -0.72252508 0.00000000 C -2.44124761 0.72252500 0.00000000 C -1.22790714 1.40160582 0.00000000 C -3.68839532 -1.40304794 0.00000000 C -4.86849540 -0.70960454 0.00000000 C -4.86849527 0.70960485 0.00000000 C -3.68839508 1.40304803 0.00000000 H 5.82352308 1.24991683 0.00000000 H 5.82352331 -1.24991640 0.00000000 H 3.68033563 -2.50188311 0.00000000 H 3.68033524 2.50188313 0.00000000 H 1.22831614 -2.50181909 0.00000000 H 1.22831600 2.50181871 0.00000000 H -1.22831614 -2.50181908 0.00000000 H -1.22831600 2.50181873 0.00000000 H -3.68033563 -2.50188309 0.00000000 H -5.82352331 -1.24991640 0.00000000 H -5.82352308 1.24991683 0.00000000 H -3.68033524 2.50188313 0.00000000

4-acene (triplet), E = -686.7560608051

C 4.90183926 0.69707562 0.00000000 C 4.90183927 -0.69707562 0.00000000 C 3.69558126 -1.39384213 0.00000000 C 2.46826884 -0.71640447 0.00000000 C 2.46826883 0.71640446 0.00000000 C 3.69558125 1.39384213 0.00000000 C 1.22738211 -1.39651115 0.00000000 C -0.00000004 -0.72352973 0.00000000 C -0.00000004 0.72352972 0.00000000 C 1.22738211 1.39651114 0.00000000 C -1.22738203 -1.39651116 0.00000000 C -2.46826875 -0.71640451 0.00000000 C -2.46826875 0.71640452 0.00000000 C -1.22738203 1.39651115 0.00000000 C -3.69558133 -1.39384221 0.00000000 C -4.90183931 -0.69707568 0.00000000 C -4.90183931 0.69707569 0.00000000 C -3.69558132 1.39384222 0.00000000 H 5.85045966 1.24803201 0.00000000 H 5.85045969 -1.24803201 0.00000000 H 3.68868555 -2.49271337 0.00000000 H 3.68868554 2.49271337 0.00000000 H 1.22900478 -2.49663800 0.00000000 H 1.22900477 2.49663799 0.00000000 H -1.22900466 -2.49663802 0.00000000 H -1.22900465 2.49663801 0.00000000 H -3.68868565 -2.49271349 0.00000000 H -5.85045970 -1.24803210 0.00000000 H -5.85045971 1.24803212 0.00000000 H -3.68868564 2.49271350 0.00000000

5-acene (singlet), E = -839.0416885908

C 7.31114719 -0.70969377 0.00000000 C 7.31114717 0.70969382 0.00000000 C 6.13089932 -1.40330814 0.00000000 C 6.13089928 1.40330815 0.00000000 C 4.88348555 -0.72321752 0.00000000

(5)

C 4.88348554 0.72321750 0.00000000 C 3.67108847 -1.40236559 0.00000000 C 3.67108848 1.40236555 0.00000000 C 2.44037950 -0.72588296 0.00000000 C 2.44037951 0.72588295 0.00000000 C 1.21786109 -1.40357867 0.00000000 C 1.21786110 1.40357862 0.00000000 C -0.00465730 -0.72588296 0.00000000 C -0.00465729 0.72588293 0.00000000 C -1.23536625 -1.40236559 0.00000000 C -1.23536625 1.40236556 0.00000000 C -2.44776332 -0.72321750 0.00000000 C -2.44776331 0.72321751 0.00000000 C -3.69517707 -1.40330814 0.00000000 C -3.69517707 1.40330816 0.00000000 C -4.87542495 -0.70969378 0.00000000 C -4.87542495 0.70969382 0.00000000 H 8.26608569 -1.25012563 0.00000000 H 8.26608565 1.25012569 0.00000000 H 6.12322356 -2.50212615 0.00000000 H 6.12322351 2.50212616 0.00000000 H 3.67209401 -2.50254092 0.00000000 H 3.67209403 2.50254089 0.00000000 H 1.21786108 -2.50362011 0.00000000 H 1.21786109 2.50362007 0.00000000 H -1.23637179 -2.50254092 0.00000000 H -1.23637179 2.50254090 0.00000000 H -3.68750131 -2.50212615 0.00000000 H -3.68750130 2.50212618 0.00000000 H -5.83036345 -1.25012565 0.00000000 H -5.83036344 1.25012567 0.00000000

5-acene (triplet), E = -839.0104609662

C 7.33746248 -0.70073359 0.00000000 C 7.33746248 0.70073359 0.00000000 C 6.13948944 -1.39605758 0.00000000 C 6.13948944 1.39605757 0.00000000 C 4.90790596 -0.71710729 0.00000000 C 4.90790597 0.71710728 0.00000000 C 3.67213820 -1.39703655 0.00000000 C 3.67213821 1.39703654 0.00000000 C 2.45081901 -0.72398235 0.00000000 C 2.45081902 0.72398236 0.00000000 C 1.21786124 -1.39901528 0.00000000 C 1.21786124 1.39901530 0.00000000 C -0.01509677 -0.72398239 0.00000000 C -0.01509677 0.72398240 0.00000000 C -1.23641600 -1.39703661 0.00000000 C -1.23641600 1.39703661 0.00000000 C -2.47218374 -0.71710735 0.00000000 C -2.47218375 0.71710736 0.00000000 C -3.70376726 -1.39605776 0.00000000 C -3.70376726 1.39605776 0.00000000 C -4.90174031 -0.70073375 0.00000000 C -4.90174032 0.70073374 0.00000000 H 8.28806419 -1.24842723 0.00000000 H 8.28806419 1.24842723 0.00000000 H 6.13189477 -2.49493576 0.00000000 H 6.13189477 2.49493575 0.00000000 H 3.67356978 -2.49726203 0.00000000 H 3.67356979 2.49726202 0.00000000 H 1.21786125 -2.49908913 0.00000000 H 1.21786125 2.49908915 0.00000000 H -1.23784752 -2.49726209 0.00000000 H -1.23784752 2.49726210 0.00000000 H -3.69617263 -2.49493597 0.00000000 H -3.69617264 2.49493597 0.00000000 H -5.85234211 -1.24842740 0.00000000 H -5.85234212 1.24842738 0.00000000

6-acene (singlet), E = -991.2816938455

C 7.31933057 -0.70921399 0.00000000 C 7.31933046 0.70921438 0.00000000 C 6.13800170 -1.40287706 0.00000000 C 6.13800148 1.40287727 0.00000000 C 4.89164682 -0.72295763 0.00000000 C 4.89164674 0.72295768 0.00000000 C 3.67785671 -1.40217524 0.00000000 C 3.67785656 1.40217509 0.00000000 C 2.44759589 -0.72627305 0.00000000 C 2.44759584 0.72627281 0.00000000 C 1.22529256 -1.40384887 0.00000000 C 1.22529251 1.40384853 0.00000000

(6)

C -0.00000001 -0.72740813 0.00000000 C -0.00000000 0.72740782 0.00000000 C -1.22529257 -1.40384886 0.00000000 C -1.22529252 1.40384854 0.00000000 C -2.44759590 -0.72627304 0.00000000 C -2.44759584 0.72627282 0.00000000 C -3.67785671 -1.40217522 0.00000000 C -3.67785657 1.40217510 0.00000000 C -4.89164682 -0.72295761 0.00000000 C -4.89164674 0.72295769 0.00000000 C -6.13800168 -1.40287705 0.00000000 C -6.13800148 1.40287727 0.00000000 C -7.31933056 -0.70921400 0.00000000 C -7.31933046 0.70921437 0.00000000 H 8.27409532 -1.24986004 0.00000000 H 8.27409515 1.24986056 0.00000000 H 6.13003265 -2.50170465 0.00000000 H 6.13003228 2.50170484 0.00000000 H 3.67874047 -2.50236185 0.00000000 H 3.67874019 2.50236169 0.00000000 H 1.22568039 -2.50388303 0.00000000 H 1.22568033 2.50388267 0.00000000 H -1.22568041 -2.50388303 0.00000000 H -1.22568033 2.50388268 0.00000000 H -3.67874047 -2.50236183 0.00000000 H -3.67874020 2.50236170 0.00000000 H -6.13003262 -2.50170464 0.00000000 H -6.13003228 2.50170485 0.00000000 H -8.27409531 -1.24986006 0.00000000 H -8.27409515 1.24986055 0.00000000

6-acene (triplet), E = -991.2601024865

C 7.33906748 -0.70324463 0.00000000 C 7.33906747 0.70324462 0.00000000 C 6.14642981 -1.39787415 0.00000000 C 6.14642981 1.39787417 0.00000000 C 4.91101817 -0.71822698 0.00000000 C 4.91101816 0.71822698 0.00000000 C 3.68054646 -1.39791931 0.00000000 C 3.68054646 1.39791931 0.00000000 C 2.46010370 -0.72386755 0.00000000 C 2.46010370 0.72386755 0.00000000 C 1.22562047 -1.39986582 0.00000000 C 1.22562047 1.39986581 0.00000000 C -0.00000007 -0.72602238 0.00000000 C -0.00000007 0.72602239 0.00000000 C -1.22562034 -1.39986584 0.00000000 C -1.22562034 1.39986584 0.00000000 C -2.46010367 -0.72386759 0.00000000 C -2.46010367 0.72386759 0.00000000 C -3.68054646 -1.39791941 0.00000000 C -3.68054646 1.39791941 0.00000000 C -4.91101805 -0.71822708 0.00000000 C -4.91101806 0.71822710 0.00000000 C -6.14642989 -1.39787435 0.00000000 C -6.14642990 1.39787436 0.00000000 C -7.33906752 -0.70324478 0.00000000 C -7.33906751 0.70324477 0.00000000 H 8.29097226 -1.24877040 0.00000000 H 8.29097226 1.24877039 0.00000000 H 6.13858400 -2.49674029 0.00000000 H 6.13858401 2.49674030 0.00000000 H 3.68163886 -2.49816873 0.00000000 H 3.68163887 2.49816873 0.00000000 H 1.22600709 -2.49997894 0.00000000 H 1.22600709 2.49997893 0.00000000 H -1.22600688 -2.49997894 0.00000000 H -1.22600689 2.49997895 0.00000000 H -3.68163888 -2.49816884 0.00000000 H -3.68163888 2.49816884 0.00000000 H -6.13858414 -2.49674053 0.00000000 H -6.13858417 2.49674054 0.00000000 H -8.29097237 -1.24877057 0.00000000 H -8.29097237 1.24877056 0.00000000

8-acene (singlet), E = -1295.7640364922

C 9.77260935 -0.70813249 0.00000000 C 9.77260944 0.70813206 0.00000000 C 8.58934436 -1.40191348 0.00000000 C 8.58934452 1.40191319 0.00000000 C 7.34532808 -0.72184489 0.00000000 C 7.34532816 0.72184473 0.00000000 C 6.12790040 -1.40116398 0.00000000

(7)

C 6.12790054 1.40116397 0.00000000 C 4.90109755 -0.72556090 0.00000000 C 4.90109761 0.72556100 0.00000000 C 3.67451333 -1.40284356 0.00000000 C 3.67451343 1.40284378 0.00000000 C 2.45182965 -0.72765555 0.00000000 C 2.45182968 0.72765583 0.00000000 C 1.22450804 -1.40324845 0.00000000 C 1.22450807 1.40324879 0.00000000 C 0.00000005 -0.72830371 0.00000000 C 0.00000006 0.72830404 0.00000000 C -1.22450795 -1.40324845 0.00000000 C -1.22450797 1.40324880 0.00000000 C -2.45182957 -0.72765556 0.00000000 C -2.45182960 0.72765584 0.00000000 C -3.67451329 -1.40284356 0.00000000 C -3.67451339 1.40284379 0.00000000 C -4.90109754 -0.72556090 0.00000000 C -4.90109760 0.72556101 0.00000000 C -6.12790042 -1.40116400 0.00000000 C -6.12790057 1.40116399 0.00000000 C -7.34532813 -0.72184490 0.00000000 C -7.34532821 0.72184474 0.00000000 C -8.58934443 -1.40191349 0.00000000 C -8.58934460 1.40191319 0.00000000 C -9.77260945 -0.70813251 0.00000000 C -9.77260953 0.70813205 0.00000000 H 10.72690391 -1.24957387 0.00000000 H 10.72690406 1.24957332 0.00000000 H 8.58129254 -2.50074445 0.00000000 H 8.58129284 2.50074416 0.00000000 H 6.12881821 -2.50137087 0.00000000 H 6.12881847 2.50137087 0.00000000 H 3.67515031 -2.50291630 0.00000000 H 3.67515051 2.50291653 0.00000000 H 1.22470470 -2.50331663 0.00000000 H 1.22470476 2.50331700 0.00000000 H -1.22470463 -2.50331664 0.00000000 H -1.22470468 2.50331701 0.00000000 H -3.67515028 -2.50291630 0.00000000 H -3.67515046 2.50291655 0.00000000 H -6.12881822 -2.50137089 0.00000000 H -6.12881849 2.50137090 0.00000000 H -8.58129261 -2.50074446 0.00000000 H -8.58129290 2.50074418 0.00000000 H -10.72690400 -1.24957389 0.00000000 H -10.72690414 1.24957333 0.00000000 8-acene (triplet), E = -1295.7515346798

C 9.78174855 -0.70606741 0.00000000 C 9.78174855 0.70606739 0.00000000 C 8.59475307 -1.40017757 0.00000000 C 8.59475306 1.40017755 0.00000000 C 7.35444274 -0.72010286 0.00000000 C 7.35444274 0.72010285 0.00000000 C 6.13127981 -1.39955100 0.00000000 C 6.13127981 1.39955099 0.00000000 C 4.90833302 -0.72433059 0.00000000 C 4.90833303 0.72433058 0.00000000 C 3.67649709 -1.40114363 0.00000000 C 3.67649710 1.40114364 0.00000000 C 2.45565207 -0.72647414 0.00000000 C 2.45565208 0.72647415 0.00000000 C 1.22521022 -1.40140908 0.00000000 C 1.22521022 1.40140911 0.00000000 C 0.00000021 -0.72701301 0.00000000 C 0.00000021 0.72701303 0.00000000 C -1.22521007 -1.40140908 0.00000000 C -1.22521007 1.40140910 0.00000000 C -2.45565180 -0.72647415 0.00000000 C -2.45565179 0.72647417 0.00000000 C -3.67649696 -1.40114361 0.00000000 C -3.67649697 1.40114364 0.00000000 C -4.90833308 -0.72433058 0.00000000 C -4.90833309 0.72433060 0.00000000 C -6.13127982 -1.39955094 0.00000000 C -6.13127984 1.39955096 0.00000000 C -7.35444298 -0.72010279 0.00000000 C -7.35444299 0.72010279 0.00000000 C -8.59475318 -1.40017751 0.00000000 C -8.59475321 1.40017750 0.00000000 C -9.78174883 -0.70606736 0.00000000 C -9.78174884 0.70606732 0.00000000 H 10.73502780 -1.24928857 0.00000000

(8)

H 10.73502780 1.24928855 0.00000000 H 8.58690810 -2.49901869 0.00000000 H 8.58690810 2.49901867 0.00000000 H 6.13222689 -2.49978233 0.00000000 H 6.13222690 2.49978231 0.00000000 H 3.67674907 -2.50125952 0.00000000 H 3.67674909 2.50125952 0.00000000 H 1.22514296 -2.50153020 0.00000000 H 1.22514297 2.50153022 0.00000000 H -1.22514272 -2.50153021 0.00000000 H -1.22514272 2.50153023 0.00000000 H -3.67674893 -2.50125952 0.00000000 H -3.67674895 2.50125954 0.00000000 H -6.13222688 -2.49978227 0.00000000 H -6.13222690 2.49978228 0.00000000 H -8.58690823 -2.49901863 0.00000000 H -8.58690828 2.49901861 0.00000000 H -10.73502807 -1.24928855 0.00000000 H -10.73502809 1.24928850 0.00000000 10-acene (singlet), E = -1600.2475455226

C 12.22378638 -0.70795687 0.00000000 C 12.22378719 0.70795388 0.00000000 C 11.04032854 -1.40179688 0.00000000 C 11.04033004 1.40179529 0.00000000 C 9.79671779 -0.72157235 0.00000000 C 9.79671844 0.72157179 0.00000000 C 8.57859931 -1.40092216 0.00000000 C 8.57860015 1.40092282 0.00000000 C 7.35291911 -0.72513585 0.00000000 C 7.35291928 0.72513676 0.00000000 C 6.12463410 -1.40240705 0.00000000 C 6.12463413 1.40240851 0.00000000 C 4.90423003 -0.72713187 0.00000000 C 4.90422979 0.72713314 0.00000000 C 3.67388584 -1.40258251 0.00000000 C 3.67388544 1.40258358 0.00000000 C 2.45270789 -0.72799667 0.00000000 C 2.45270761 0.72799766 0.00000000 C 1.22450132 -1.40246359 0.00000000 C 1.22450109 1.40246410 0.00000000 C 0.00000009 -0.72822430 0.00000000 C 0.00000007 0.72822508 0.00000000 C -1.22450116 -1.40246359 0.00000000 C -1.22450094 1.40246410 0.00000000 C -2.45270773 -0.72799666 0.00000000 C -2.45270745 0.72799767 0.00000000 C -3.67388565 -1.40258250 0.00000000 C -3.67388527 1.40258359 0.00000000 C -4.90422983 -0.72713185 0.00000000 C -4.90422960 0.72713315 0.00000000 C -6.12463390 -1.40240705 0.00000000 C -6.12463394 1.40240851 0.00000000 C -7.35291891 -0.72513586 0.00000000 C -7.35291909 0.72513675 0.00000000 C -8.57859911 -1.40092217 0.00000000 C -8.57859997 1.40092280 0.00000000 C -9.79671760 -0.72157237 0.00000000 C -9.79671825 0.72157177 0.00000000 C -11.04032835 -1.40179691 0.00000000 C -11.04032985 1.40179526 0.00000000 C -12.22378619 -0.70795690 0.00000000 C -12.22378700 0.70795384 0.00000000 H 13.17797516 -1.24962867 0.00000000 H 13.17797654 1.24962472 0.00000000 H 11.03243487 -2.50063110 0.00000000 H 11.03243738 2.50062967 0.00000000 H 8.57955195 -2.50113859 0.00000000 H 8.57955342 2.50113950 0.00000000 H 6.12508969 -2.50250544 0.00000000 H 6.12509003 2.50250709 0.00000000 H 3.67389764 -2.50269330 0.00000000 H 3.67389732 2.50269435 0.00000000 H 1.22445150 -2.50259005 0.00000000 H 1.22445127 2.50259034 0.00000000 H -1.22445134 -2.50259005 0.00000000 H -1.22445111 2.50259035 0.00000000 H -3.67389745 -2.50269329 0.00000000 H -3.67389715 2.50269435 0.00000000 H -6.12508948 -2.50250543 0.00000000 H -6.12508985 2.50250708 0.00000000 H -8.57955174 -2.50113859 0.00000000 H -8.57955324 2.50113948 0.00000000 H -11.03243467 -2.50063112 0.00000000

(9)

H -11.03243720 2.50062964 0.00000000 H -13.17797497 -1.24962870 0.00000000 H -13.17797635 1.24962469 0.00000000

10-acene (triplet), E = -1600.2381351729

C 12.22844482 -0.70714593 0.00000000 C 12.22844410 0.70714897 0.00000000 C 11.04349615 -1.40113939 0.00000000 C 11.04349477 1.40114121 0.00000000 C 9.80124219 -0.72099574 0.00000000 C 9.80124153 0.72099649 0.00000000 C 8.58113059 -1.40040528 0.00000000 C 8.58112956 1.40040493 0.00000000 C 7.35634244 -0.72485514 0.00000000 C 7.35634204 0.72485418 0.00000000 C 6.12693630 -1.40194473 0.00000000 C 6.12693580 1.40194302 0.00000000 C 4.90596383 -0.72675523 0.00000000 C 4.90596373 0.72675341 0.00000000 C 3.67578924 -1.40208554 0.00000000 C 3.67578926 1.40208342 0.00000000 C 2.45319069 -0.72719665 0.00000000 C 2.45319082 0.72719480 0.00000000 C 1.22527857 -1.40190967 0.00000000 C 1.22527897 1.40190799 0.00000000 C 0.00000029 -0.72718286 0.00000000 C 0.00000057 0.72718162 0.00000000 C -1.22527861 -1.40190924 0.00000000 C -1.22527806 1.40190842 0.00000000 C -2.45319028 -0.72719593 0.00000000 C -2.45318999 0.72719557 0.00000000 C -3.67578919 -1.40208442 0.00000000 C -3.67578872 1.40208452 0.00000000 C -4.90596379 -0.72675415 0.00000000 C -4.90596358 0.72675454 0.00000000 C -6.12693611 -1.40194348 0.00000000 C -6.12693586 1.40194425 0.00000000 C -7.35634251 -0.72485421 0.00000000 C -7.35634245 0.72485506 0.00000000 C -8.58113019 -1.40040457 0.00000000 C -8.58113019 1.40040557 0.00000000 C -9.80124225 -0.72099561 0.00000000 C -9.80124231 0.72099650 0.00000000 C -11.04349575 -1.40113985 0.00000000 C -11.04349590 1.40114066 0.00000000 C -12.22844499 -0.70714706 0.00000000 C -12.22844508 0.70714772 0.00000000 H 13.18221535 -1.24954413 0.00000000 H 13.18221408 1.24954809 0.00000000 H 11.03574635 -2.49997557 0.00000000 H 11.03574397 2.49997730 0.00000000 H 8.58219261 -2.50062419 0.00000000 H 8.58219086 2.50062367 0.00000000 H 6.12728033 -2.50204698 0.00000000 H 6.12727944 2.50204506 0.00000000 H 3.67556115 -2.50220080 0.00000000 H 3.67556113 2.50219850 0.00000000 H 1.22510803 -2.50204137 0.00000000 H 1.22510867 2.50203958 0.00000000 H -1.22510833 -2.50204092 0.00000000 H -1.22510742 2.50204009 0.00000000 H -3.67556122 -2.50219961 0.00000000 H -3.67556044 2.50219977 0.00000000 H -6.12728004 -2.50204561 0.00000000 H -6.12727957 2.50204647 0.00000000 H -8.58219190 -2.50062338 0.00000000 H -8.58219188 2.50062446 0.00000000 H -11.03574542 -2.49997599 0.00000000 H -11.03574568 2.49997684 0.00000000 H -13.18221520 -1.24954585 0.00000000 H -13.18221534 1.24954639 0.00000000

12-acene (singlet), E = -1904.7308013785

C 14.67386978 -0.70809290 0.00000000 C 14.67386851 0.70810065 0.00000000 C 13.49069852 -1.40192860 0.00000000 C 13.49069624 1.40193417 0.00000000 C 12.24679977 -0.72167960 0.00000000 C 12.24679888 0.72168352 0.00000000 C 11.02912088 -1.40103009 0.00000000 C 11.02911939 1.40103223 0.00000000 C 9.80315275 -0.72515155 0.00000000 C 9.80315215 0.72515247 0.00000000

(10)

C 8.57518404 -1.40248106 0.00000000 C 8.57518283 1.40248088 0.00000000 C 7.35486605 -0.72701206 0.00000000 C 7.35486543 0.72701071 0.00000000 C 6.12423917 -1.40256455 0.00000000 C 6.12423804 1.40256230 0.00000000 C 4.90402278 -0.72771528 0.00000000 C 4.90402222 0.72771203 0.00000000 C 3.67438449 -1.40224937 0.00000000 C 3.67438365 1.40224535 0.00000000 C 2.45215262 -0.72785536 0.00000000 C 2.45215229 0.72785070 0.00000000 C 1.22479026 -1.40198411 0.00000000 C 1.22478992 1.40197904 0.00000000 C 0.00000002 -0.72785024 0.00000000 C 0.00000000 0.72784501 0.00000000 C -1.22479020 -1.40198416 0.00000000 C -1.22478996 1.40197900 0.00000000 C -2.45215258 -0.72785544 0.00000000 C -2.45215230 0.72785061 0.00000000 C -3.67438446 -1.40224949 0.00000000 C -3.67438367 1.40224522 0.00000000 C -4.90402277 -0.72771542 0.00000000 C -4.90402223 0.72771189 0.00000000 C -6.12423917 -1.40256471 0.00000000 C -6.12423804 1.40256216 0.00000000 C -7.35486606 -0.72701220 0.00000000 C -7.35486542 0.72701056 0.00000000 C -8.57518407 -1.40248119 0.00000000 C -8.57518281 1.40248075 0.00000000 C -9.80315278 -0.72515167 0.00000000 C -9.80315213 0.72515236 0.00000000 C -11.02912096 -1.40103017 0.00000000 C -11.02911934 1.40103218 0.00000000 C -12.24679982 -0.72167961 0.00000000 C -12.24679885 0.72168351 0.00000000 C -13.49069860 -1.40192855 0.00000000 C -13.49069617 1.40193422 0.00000000 C -14.67386983 -0.70809279 0.00000000 C -14.67386848 0.70810075 0.00000000 H 15.62812940 -1.24964943 0.00000000 H 15.62812723 1.24965877 0.00000000 H 13.48284322 -2.50075916 0.00000000 H 13.48283922 2.50076454 0.00000000 H 11.03008851 -2.50124250 0.00000000 H 11.03008561 2.50124452 0.00000000 H 8.57560058 -2.50257735 0.00000000 H 8.57559833 2.50257717 0.00000000 H 6.12410427 -2.50267897 0.00000000 H 6.12410231 2.50267669 0.00000000 H 3.67409210 -2.50239148 0.00000000 H 3.67409064 2.50238733 0.00000000 H 1.22465338 -2.50214353 0.00000000 H 1.22465278 2.50213826 0.00000000 H -1.22465327 -2.50214359 0.00000000 H -1.22465286 2.50213822 0.00000000 H -3.67409204 -2.50239160 0.00000000 H -3.67409069 2.50238718 0.00000000 H -6.12410427 -2.50267914 0.00000000 H -6.12410231 2.50267654 0.00000000 H -8.57560063 -2.50257750 0.00000000 H -8.57559830 2.50257703 0.00000000 H -11.03008863 -2.50124260 0.00000000 H -11.03008551 2.50124444 0.00000000 H -13.48284335 -2.50075914 0.00000000 H -13.48283910 2.50076458 0.00000000 H -15.62812948 -1.24964928 0.00000000 H -15.62812716 1.24965893 0.00000000 12-acene (triplet), E = -1904.7231172373

C 14.67749723 -0.70750213 0.00000000 C 14.67749737 0.70749996 0.00000000 C 13.49320928 -1.40146060 0.00000000 C 13.49320966 1.40145868 0.00000000 C 12.25036181 -0.72127702 0.00000000 C 12.25036207 0.72127550 0.00000000 C 11.03118984 -1.40068919 0.00000000 C 11.03119038 1.40068802 0.00000000 C 9.80587809 -0.72504337 0.00000000 C 9.80587839 0.72504261 0.00000000 C 8.57723225 -1.40224104 0.00000000 C 8.57723292 1.40224068 0.00000000 C 7.35614355 -0.72696160 0.00000000 C 7.35614390 0.72696172 0.00000000

(11)

C 6.12636150 -1.40239161 0.00000000 C 6.12636239 1.40239211 0.00000000 C 4.90404852 -0.72739892 0.00000000 C 4.90404894 0.72739987 0.00000000 C 3.67612128 -1.40211394 0.00000000 C 3.67612225 1.40211529 0.00000000 C 2.45178541 -0.72717383 0.00000000 C 2.45178576 0.72717546 0.00000000 C 1.22547137 -1.40186509 0.00000000 C 1.22547223 1.40186697 0.00000000 C -0.00000018 -0.72700526 0.00000000 C 0.00000007 0.72700727 0.00000000 C -1.22547223 -1.40186498 0.00000000 C -1.22547153 1.40186712 0.00000000 C -2.45178578 -0.72717357 0.00000000 C -2.45178560 0.72717573 0.00000000 C -3.67612205 -1.40211353 0.00000000 C -3.67612160 1.40211568 0.00000000 C -4.90404881 -0.72739841 0.00000000 C -4.90404876 0.72740035 0.00000000 C -6.12636198 -1.40239097 0.00000000 C -6.12636196 1.40239273 0.00000000 C -7.35614362 -0.72696105 0.00000000 C -7.35614379 0.72696228 0.00000000 C -8.57723230 -1.40224050 0.00000000 C -8.57723283 1.40224123 0.00000000 C -9.80587799 -0.72504300 0.00000000 C -9.80587839 0.72504297 0.00000000 C -11.03118959 -1.40068901 0.00000000 C -11.03119053 1.40068817 0.00000000 C -12.25036160 -0.72127716 0.00000000 C -12.25036215 0.72127536 0.00000000 C -13.49320878 -1.40146104 0.00000000 C -13.49321003 1.40145823 0.00000000 C -14.67749689 -0.70750304 0.00000000 C -14.67749756 0.70749906 0.00000000 H 15.63144081 -1.24959932 0.00000000 H 15.63144107 1.24959690 0.00000000 H 13.48545072 -2.50029284 0.00000000 H 13.48545137 2.50029085 0.00000000 H 11.03227353 -2.50090228 0.00000000 H 11.03227445 2.50090104 0.00000000 H 8.57767651 -2.50233530 0.00000000 H 8.57767769 2.50233487 0.00000000 H 6.12619900 -2.50249827 0.00000000 H 6.12620044 2.50249870 0.00000000 H 3.67581532 -2.50224241 0.00000000 H 3.67581683 2.50224376 0.00000000 H 1.22533656 -2.50200743 0.00000000 H 1.22533788 2.50200937 0.00000000 H -1.22533782 -2.50200729 0.00000000 H -1.22533676 2.50200951 0.00000000 H -3.67581644 -2.50224193 0.00000000 H -3.67581583 2.50224421 0.00000000 H -6.12619969 -2.50249750 0.00000000 H -6.12619980 2.50249943 0.00000000 H -8.57767661 -2.50233463 0.00000000 H -8.57767758 2.50233554 0.00000000 H -11.03227311 -2.50090198 0.00000000 H -11.03227477 2.50090130 0.00000000 H -13.48544987 -2.50029319 0.00000000 H -13.48545208 2.50029048 0.00000000 H -15.63144027 -1.24960052 0.00000000 H -15.63144146 1.24959569 0.00000000 14-acene (singlet), E = -2209.2138389610

C 17.12416403 -0.70813977 0.00000000 C 17.12416349 0.70814100 0.00000000 C 15.94107369 -1.40199130 0.00000000 C 15.94107257 1.40199164 0.00000000 C 14.69709068 -0.72174107 0.00000000 C 14.69709003 0.72174037 0.00000000 C 13.47958120 -1.40110626 0.00000000 C 13.47958010 1.40110453 0.00000000 C 12.25343029 -0.72522031 0.00000000 C 12.25342978 0.72521795 0.00000000 C 11.02575150 -1.40258075 0.00000000 C 11.02575094 1.40257750 0.00000000 C 9.80515843 -0.72706651 0.00000000 C 9.80515831 0.72706331 0.00000000 C 8.57489721 -1.40268017 0.00000000 C 8.57489733 1.40267659 0.00000000 C 7.35443229 -0.72770463 0.00000000 C 7.35443254 0.72770167 0.00000000

(12)

C 6.12502831 -1.40234101 0.00000000 C 6.12502908 1.40233832 0.00000000 C 4.90289138 -0.72770897 0.00000000 C 4.90289192 0.72770738 0.00000000 C 3.67520083 -1.40196721 0.00000000 C 3.67520201 1.40196635 0.00000000 C 2.45135496 -0.72752532 0.00000000 C 2.45135566 0.72752572 0.00000000 C 1.22511210 -1.40175066 0.00000000 C 1.22511342 1.40175209 0.00000000 C -0.00000033 -0.72743278 0.00000000 C 0.00000035 0.72743536 0.00000000 C -1.22511329 -1.40174956 0.00000000 C -1.22511218 1.40175319 0.00000000 C -2.45135555 -0.72752330 0.00000000 C -2.45135504 0.72752774 0.00000000 C -3.67520173 -1.40196418 0.00000000 C -3.67520109 1.40196940 0.00000000 C -4.90289175 -0.72770547 0.00000000 C -4.90289155 0.72771089 0.00000000 C -6.12502867 -1.40233678 0.00000000 C -6.12502872 1.40234254 0.00000000 C -7.35443231 -0.72770052 0.00000000 C -7.35443254 0.72770579 0.00000000 C -8.57489682 -1.40267588 0.00000000 C -8.57489772 1.40268088 0.00000000 C -9.80515801 -0.72706301 0.00000000 C -9.80515872 0.72706681 0.00000000 C -11.02575035 -1.40257776 0.00000000 C -11.02575209 1.40258048 0.00000000 C -12.25342950 -0.72521874 0.00000000 C -12.25343059 0.72521953 0.00000000 C -13.47957942 -1.40110592 0.00000000 C -13.47958189 1.40110486 0.00000000 C -14.69708966 -0.72174252 0.00000000 C -14.69709109 0.72173891 0.00000000 C -15.94107160 -1.40199451 0.00000000 C -15.94107469 1.40198843 0.00000000 C -17.12416297 -0.70814481 0.00000000 C -17.12416458 0.70813596 0.00000000 H 18.07843941 -1.24966972 0.00000000 H 18.07843843 1.24967168 0.00000000 H 15.93325014 -2.50081994 0.00000000 H 15.93324818 2.50082025 0.00000000 H 13.48058837 -2.50131522 0.00000000 H 13.48058666 2.50131336 0.00000000 H 11.02621024 -2.50267218 0.00000000 H 11.02620938 2.50266864 0.00000000 H 8.57477774 -2.50278849 0.00000000 H 8.57477795 2.50278461 0.00000000 H 6.12467827 -2.50247810 0.00000000 H 6.12467958 2.50247518 0.00000000 H 3.67489511 -2.50212754 0.00000000 H 3.67489708 2.50212653 0.00000000 H 1.22499673 -2.50192333 0.00000000 H 1.22499892 2.50192474 0.00000000 H -1.22499873 -2.50192217 0.00000000 H -1.22499689 2.50192593 0.00000000 H -3.67489657 -2.50212433 0.00000000 H -3.67489559 2.50212977 0.00000000 H -6.12467884 -2.50247361 0.00000000 H -6.12467900 2.50247967 0.00000000 H -8.57477708 -2.50278389 0.00000000 H -8.57477862 2.50278921 0.00000000 H -11.02620828 -2.50266891 0.00000000 H -11.02621134 2.50267191 0.00000000 H -13.48058532 -2.50131470 0.00000000 H -13.48058972 2.50131387 0.00000000 H -15.93324648 -2.50082304 0.00000000 H -15.93325186 2.50081714 0.00000000 H -18.07843755 -1.24967616 0.00000000 H -18.07844034 1.24966525 0.00000000 14-acene (triplet), E = -2209.2074898470

C 17.12728720 -0.70765419 0.00000000 C 17.12728615 0.70767600 0.00000000 C 15.94331802 -1.40159292 0.00000000 C 15.94331502 1.40161260 0.00000000 C 14.70020707 -0.72137605 0.00000000 C 14.70020708 0.72139416 0.00000000 C 13.48143660 -1.40078583 0.00000000 C 13.48143317 1.40080173 0.00000000 C 12.25599124 -0.72507255 0.00000000 C 12.25599239 0.72508681 0.00000000

(13)

C 11.02752065 -1.40232477 0.00000000 C 11.02751688 1.40233770 0.00000000 C 9.80664430 -0.72701499 0.00000000 C 9.80664604 0.72702622 0.00000000 C 8.57673680 -1.40249096 0.00000000 C 8.57673317 1.40250171 0.00000000 C 7.35480186 -0.72755544 0.00000000 C 7.35480404 0.72756525 0.00000000 C 6.12676797 -1.40222850 0.00000000 C 6.12676489 1.40223780 0.00000000 C 4.90260011 -0.72736246 0.00000000 C 4.90260248 0.72737111 0.00000000 C 3.67646192 -1.40193224 0.00000000 C 3.67645876 1.40194041 0.00000000 C 2.45101305 -0.72701989 0.00000000 C 2.45101494 0.72702737 0.00000000 C 1.22557360 -1.40176921 0.00000000 C 1.22556941 1.40177577 0.00000000 C -0.00000073 -0.72687240 0.00000000 C 0.00000096 0.72687847 0.00000000 C -1.22556819 -1.40177029 0.00000000 C -1.22557346 1.40177454 0.00000000 C -2.45101476 -0.72702227 0.00000000 C -2.45101272 0.72702544 0.00000000 C -3.67645709 -1.40193525 0.00000000 C -3.67646302 1.40193601 0.00000000 C -4.90260218 -0.72736800 0.00000000 C -4.90259991 0.72736672 0.00000000 C -6.12676309 -1.40223422 0.00000000 C -6.12676925 1.40223029 0.00000000 C -7.35480366 -0.72756397 0.00000000 C -7.35480179 0.72755741 0.00000000 C -8.57673213 -1.40250122 0.00000000 C -8.57673811 1.40249189 0.00000000 C -9.80664557 -0.72702662 0.00000000 C -9.80664470 0.72701423 0.00000000 C -11.02751665 -1.40233975 0.00000000 C -11.02752224 1.40232434 0.00000000 C -12.25599170 -0.72508890 0.00000000 C -12.25599194 0.72507003 0.00000000 C -13.48143302 -1.40080513 0.00000000 C -13.48143824 1.40078322 0.00000000 C -14.70020664 -0.72139815 0.00000000 C -14.70020810 0.72137232 0.00000000 C -15.94331493 -1.40161773 0.00000000 C -15.94331998 1.40158830 0.00000000 C -17.12728619 -0.70768222 0.00000000 C -17.12728839 0.70764873 0.00000000 H 18.08131551 -1.24960054 0.00000000 H 18.08131322 1.24962427 0.00000000 H 15.93554039 -2.50042227 0.00000000 H 15.93553719 2.50044195 0.00000000 H 13.48248970 -2.50099676 0.00000000 H 13.48248751 2.50101267 0.00000000 H 11.02796843 -2.50241707 0.00000000 H 11.02796785 2.50242999 0.00000000 H 8.57661349 -2.50259484 0.00000000 H 8.57661445 2.50260550 0.00000000 H 6.12649628 -2.50235362 0.00000000 H 6.12649694 2.50236290 0.00000000 H 3.67628354 -2.50207400 0.00000000 H 3.67628378 2.50208227 0.00000000 H 1.22552214 -2.50191951 0.00000000 H 1.22552216 2.50192617 0.00000000 H -1.22551327 -2.50192072 0.00000000 H -1.22551415 2.50192491 0.00000000 H -3.67627817 -2.50207733 0.00000000 H -3.67627993 2.50207801 0.00000000 H -6.12649734 -2.50235965 0.00000000 H -6.12649988 2.50235573 0.00000000 H -8.57661800 -2.50260512 0.00000000 H -8.57662157 2.50259587 0.00000000 H -11.02796911 -2.50243194 0.00000000 H -11.02797422 2.50241662 0.00000000 H -13.48248514 -2.50101606 0.00000000 H -13.48249157 2.50099424 0.00000000 H -15.93553421 -2.50044715 0.00000000 H -15.93554194 2.50041779 0.00000000 H -18.08131365 -1.24962988 0.00000000 H -18.08131780 1.24959315 0.00000000 16-acene (singlet), E = -2513.6968663768

C 19.57470823 -0.70813190 0.00000000 C 19.57470970 0.70811637 0.00000000

(14)

C 18.39159076 -1.40199839 0.00000000 C 18.39159355 1.40198528 0.00000000 C 17.14765169 -0.72174025 0.00000000 C 17.14765301 0.72172945 0.00000000 C 15.93010717 -1.40111664 0.00000000 C 15.93010960 1.40110813 0.00000000 C 14.70397548 -0.72523256 0.00000000 C 14.70397664 0.72522620 0.00000000 C 13.47631362 -1.40259927 0.00000000 C 13.47631591 1.40259482 0.00000000 C 12.25565820 -0.72709219 0.00000000 C 12.25565937 0.72708989 0.00000000 C 11.02552510 -1.40271498 0.00000000 C 11.02552728 1.40271445 0.00000000 C 9.80487242 -0.72773749 0.00000000 C 9.80487350 0.72773896 0.00000000 C 8.57573864 -1.40240021 0.00000000 C 8.57574060 1.40240330 0.00000000 C 7.35329695 -0.72772523 0.00000000 C 7.35329792 0.72773019 0.00000000 C 6.12596663 -1.40204226 0.00000000 C 6.12596839 1.40204864 0.00000000 C 4.90183246 -0.72747291 0.00000000 C 4.90183337 0.72748095 0.00000000 C 3.67582164 -1.40179791 0.00000000 C 3.67582314 1.40180721 0.00000000 C 2.45076944 -0.72724115 0.00000000 C 2.45077016 0.72725163 0.00000000 C 1.22531970 -1.40168413 0.00000000 C 1.22532060 1.40169561 0.00000000 C 0.00000000 -0.72715244 0.00000000 C 0.00000026 0.72716434 0.00000000 C -1.22531988 -1.40168366 0.00000000 C -1.22531984 1.40169604 0.00000000 C -2.45076931 -0.72724031 0.00000000 C -2.45076952 0.72725242 0.00000000 C -3.67582151 -1.40179661 0.00000000 C -3.67582226 1.40180844 0.00000000 C -4.90183200 -0.72747139 0.00000000 C -4.90183256 0.72748240 0.00000000 C -6.12596610 -1.40204041 0.00000000 C -6.12596747 1.40205046 0.00000000 C -7.35329626 -0.72772341 0.00000000 C -7.35329710 0.72773203 0.00000000 C -8.57573790 -1.40239819 0.00000000 C -8.57573991 1.40240538 0.00000000 C -9.80487177 -0.72773575 0.00000000 C -9.80487298 0.72774080 0.00000000 C -11.02552444 -1.40271328 0.00000000 C -11.02552719 1.40271633 0.00000000 C -12.25565787 -0.72709098 0.00000000 C -12.25565947 0.72709126 0.00000000 C -13.47631324 -1.40259836 0.00000000 C -13.47631662 1.40259597 0.00000000 C -14.70397558 -0.72523232 0.00000000 C -14.70397744 0.72522661 0.00000000 C -15.93010711 -1.40111696 0.00000000 C -15.93011106 1.40110805 0.00000000 C -17.14765216 -0.72174128 0.00000000 C -17.14765436 0.72172857 0.00000000 C -18.39159098 -1.40200016 0.00000000 C -18.39159553 1.40198368 0.00000000 C -19.57470900 -0.70813443 0.00000000 C -19.57471135 0.70811392 0.00000000 H 20.52897344 -1.24967399 0.00000000 H 20.52897603 1.24965654 0.00000000 H 18.38377259 -2.50082504 0.00000000 H 18.38377754 2.50081203 0.00000000 H 15.93112049 -2.50132354 0.00000000 H 15.93112501 2.50131508 0.00000000 H 13.47678454 -2.50268809 0.00000000 H 13.47678872 2.50268364 0.00000000 H 11.02543140 -2.50281917 0.00000000 H 11.02543529 2.50281865 0.00000000 H 8.57542332 -2.50253110 0.00000000 H 8.57542681 2.50253426 0.00000000 H 6.12567574 -2.50219499 0.00000000 H 6.12567881 2.50220147 0.00000000 H 3.67565110 -2.50196418 0.00000000 H 3.67565356 2.50197369 0.00000000 H 1.22526715 -2.50185644 0.00000000 H 1.22526856 2.50186826 0.00000000 H -1.22526758 -2.50185594 0.00000000

(15)

H -1.22526749 2.50186869 0.00000000 H -3.67565119 -2.50196280 0.00000000 H -3.67565244 2.50197495 0.00000000 H -6.12567534 -2.50219304 0.00000000 H -6.12567782 2.50220338 0.00000000 H -8.57542257 -2.50252902 0.00000000 H -8.57542622 2.50253649 0.00000000 H -11.02543056 -2.50281744 0.00000000 H -11.02543543 2.50282075 0.00000000 H -13.47678379 -2.50268719 0.00000000 H -13.47678982 2.50268500 0.00000000 H -15.93111991 -2.50132389 0.00000000 H -15.93112695 2.50131518 0.00000000 H -18.38377216 -2.50082685 0.00000000 H -18.38378016 2.50081055 0.00000000 H -20.52897394 -1.24967711 0.00000000 H -20.52897804 1.24965356 0.00000000 16-acene (triplet), E = -2513.6914909572

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(16)

C -19.57723899 0.70776943 0.00000000 H 20.53133197 -1.24961616 0.00000000 H 20.53132951 1.24962879 0.00000000 H 18.38571920 -2.50053184 0.00000000 H 18.38571566 2.50054013 0.00000000 H 15.93276527 -2.50107967 0.00000000 H 15.93276245 2.50108375 0.00000000 H 13.47827303 -2.50248060 0.00000000 H 13.47827213 2.50248129 0.00000000 H 11.02692050 -2.50264859 0.00000000 H 11.02692111 2.50264794 0.00000000 H 8.57690111 -2.50240913 0.00000000 H 8.57690174 2.50240921 0.00000000 H 6.12694726 -2.50213729 0.00000000 H 6.12694809 2.50213980 0.00000000 H 3.67649564 -2.50197641 0.00000000 H 3.67649665 2.50198208 0.00000000 H 1.22555915 -2.50191676 0.00000000 H 1.22555925 2.50192522 0.00000000 H -1.22555977 -2.50191655 0.00000000 H -1.22556091 2.50192644 0.00000000 H -3.67649192 -2.50197544 0.00000000 H -3.67649431 2.50198520 0.00000000 H -6.12694211 -2.50213472 0.00000000 H -6.12694572 2.50214299 0.00000000 H -8.57690074 -2.50240585 0.00000000 H -8.57690577 2.50241111 0.00000000 H -11.02692359 -2.50264762 0.00000000 H -11.02693031 2.50264788 0.00000000 H -13.47827178 -2.50248410 0.00000000 H -13.47828010 2.50247710 0.00000000 H -15.93275694 -2.50108917 0.00000000 H -15.93276667 2.50107300 0.00000000 H -18.38570797 -2.50054870 0.00000000 H -18.38571825 2.50052257 0.00000000 H -20.53132576 -1.24963862 0.00000000 H -20.53133103 1.24960331 0.00000000 18-acene (singlet), E = -2818.1799237367

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(17)

C -4.90119454 0.72726369 0.00000000 C -6.12654104 -1.40185785 0.00000000 C -6.12654058 1.40185312 0.00000000 C -7.35229725 -0.72751160 0.00000000 C -7.35229690 0.72750739 0.00000000 C -8.57661473 -1.40207329 0.00000000 C -8.57661400 1.40206959 0.00000000 C -9.80381999 -0.72774978 0.00000000 C -9.80381956 0.72774674 0.00000000 C -11.02633450 -1.40240888 0.00000000 C -11.02633353 1.40240663 0.00000000 C -12.25543633 -0.72774458 0.00000000 C -12.25543577 0.72774331 0.00000000 C -13.47609452 -1.40271174 0.00000000 C -13.47609322 1.40271140 0.00000000 C -14.70624084 -0.72708598 0.00000000 C -14.70624004 0.72708701 0.00000000 C -15.92687226 -1.40259015 0.00000000 C -15.92687058 1.40259246 0.00000000 C -17.15456429 -0.72521853 0.00000000 C -17.15456334 0.72522244 0.00000000 C -18.38066126 -1.40110769 0.00000000 C -18.38065931 1.40111324 0.00000000 C -19.59823592 -0.72171995 0.00000000 C -19.59823488 0.72172730 0.00000000 C -20.84214413 -1.40198471 0.00000000 C -20.84214199 1.40199390 0.00000000 C -22.02527450 -0.70810858 0.00000000 C -22.02527340 0.70811965 0.00000000 H 22.97953890 -1.24964292 0.00000000 H 22.97953681 1.24965619 0.00000000 H 20.83431363 -2.50080891 0.00000000 H 20.83430951 2.50081850 0.00000000 H 18.38166572 -2.50131166 0.00000000 H 18.38166197 2.50131732 0.00000000 H 15.92734039 -2.50267738 0.00000000 H 15.92733722 2.50267941 0.00000000 H 13.47600459 -2.50281433 0.00000000 H 13.47600201 2.50281344 0.00000000 H 11.02603667 -2.50253778 0.00000000 H 11.02603481 2.50253485 0.00000000 H 8.57635893 -2.50222288 0.00000000 H 8.57635771 2.50221851 0.00000000 H 6.12641375 -2.50201945 0.00000000 H 6.12641310 2.50201409 0.00000000 H 3.67605598 -2.50192734 0.00000000 H 3.67605566 2.50192163 0.00000000 H 1.22538858 -2.50189934 0.00000000 H 1.22538856 2.50189371 0.00000000 H -1.22538847 -2.50189905 0.00000000 H -1.22538824 2.50189353 0.00000000 H -3.67605516 -2.50192665 0.00000000 H -3.67605465 2.50192129 0.00000000 H -6.12641194 -2.50201871 0.00000000 H -6.12641121 2.50201387 0.00000000 H -8.57635650 -2.50222254 0.00000000 H -8.57635530 2.50221873 0.00000000 H -11.02603452 -2.50253799 0.00000000 H -11.02603272 2.50253561 0.00000000 H -13.47600353 -2.50281508 0.00000000 H -13.47600117 2.50281458 0.00000000 H -15.92734095 -2.50267840 0.00000000 H -15.92733805 2.50268056 0.00000000 H -18.38166789 -2.50131276 0.00000000 H -18.38166439 2.50131823 0.00000000 H -20.83431712 -2.50080986 0.00000000 H -20.83431332 2.50081897 0.00000000 H -22.97954302 -1.24964363 0.00000000 H -22.97954110 1.24965613 0.00000000 18-acene (triplet), E = -2818.1752330335

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(18)

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(19)

H -3.67646120 -2.50194825 0.00000000 H -3.67646477 2.50198411 0.00000000 H -6.12714823 -2.50199366 0.00000000 H -6.12715470 2.50202856 0.00000000 H -8.57740293 -2.50215007 0.00000000 H -8.57741255 2.50218062 0.00000000 H -11.02726594 -2.50243020 0.00000000 H -11.02727890 2.50245233 0.00000000 H -13.47727678 -2.50268611 0.00000000 H -13.47729326 2.50269492 0.00000000 H -15.92862776 -2.50253736 0.00000000 H -15.92864702 2.50252798 0.00000000 H -18.38306665 -2.50116051 0.00000000 H -18.38308744 2.50113008 0.00000000 H -20.83592631 -2.50063916 0.00000000 H -20.83594806 2.50058689 0.00000000 H -22.98145267 -1.24965501 0.00000000 H -22.98146367 1.24958361 0.00000000 20-acene (singlet), E = -3122.6629883183

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(20)

C -14.70599991 -0.72773918 0.00000000 C -14.70599980 0.72773874 0.00000000 C -15.92662965 -1.40271133 0.00000000 C -15.92662916 1.40271101 0.00000000 C -17.15679078 -0.72708131 0.00000000 C -17.15679036 0.72708171 0.00000000 C -18.37740222 -1.40259332 0.00000000 C -18.37740149 1.40259411 0.00000000 C -19.60509844 -0.72521660 0.00000000 C -19.60509800 0.72521794 0.00000000 C -20.83118444 -1.40111244 0.00000000 C -20.83118375 1.40111449 0.00000000 C -22.04875812 -0.72172047 0.00000000 C -22.04875783 0.72172303 0.00000000 C -23.29265911 -1.40199309 0.00000000 C -23.29265846 1.40199628 0.00000000 C -24.47578550 -0.70811187 0.00000000 C -24.47578518 0.70811563 0.00000000 H 25.43005520 -1.24964453 0.00000000 H 25.43005460 1.24964888 0.00000000 H 23.28483524 -2.50081694 0.00000000 H 23.28483395 2.50082023 0.00000000 H 20.83219181 -2.50131646 0.00000000 H 20.83219048 2.50131853 0.00000000 H 18.37786666 -2.50268082 0.00000000 H 18.37786566 2.50268148 0.00000000 H 15.92653366 -2.50281424 0.00000000 H 15.92653283 2.50281365 0.00000000 H 13.47656910 -2.50253496 0.00000000 H 13.47656859 2.50253388 0.00000000 H 11.02690904 -2.50222095 0.00000000 H 11.02690885 2.50221982 0.00000000 H 8.57700823 -2.50202560 0.00000000 H 8.57700823 2.50202443 0.00000000 H 6.12672533 -2.50195247 0.00000000 H 6.12672530 2.50195119 0.00000000 H 3.67614287 -2.50194913 0.00000000 H 3.67614276 2.50194780 0.00000000 H 1.22539728 -2.50196281 0.00000000 H 1.22539721 2.50196149 0.00000000 H -1.22539703 -2.50196287 0.00000000 H -1.22539702 2.50196150 0.00000000 H -3.67614279 -2.50194925 0.00000000 H -3.67614269 2.50194786 0.00000000 H -6.12672549 -2.50195260 0.00000000 H -6.12672541 2.50195127 0.00000000 H -8.57700861 -2.50202568 0.00000000 H -8.57700855 2.50202451 0.00000000 H -11.02690949 -2.50222095 0.00000000 H -11.02690931 2.50221983 0.00000000 H -13.47656951 -2.50253488 0.00000000 H -13.47656894 2.50253382 0.00000000 H -15.92653384 -2.50281407 0.00000000 H -15.92653302 2.50281358 0.00000000 H -18.37786654 -2.50268065 0.00000000 H -18.37786560 2.50268137 0.00000000 H -20.83219144 -2.50131635 0.00000000 H -20.83219021 2.50131842 0.00000000 H -23.28483467 -2.50081690 0.00000000 H -23.28483345 2.50082009 0.00000000 H -25.43005462 -1.24964460 0.00000000 H -25.43005404 1.24964877 0.00000000 20-acene (triplet), E = -3122.6588093357

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(21)

C 12.25478691 -0.72760786 0.00000000 C 12.25478860 0.72760365 0.00000000 C 11.02807919 -1.40203870 0.00000000 C 11.02808103 1.40203719 0.00000000 C 9.80316288 -0.72733847 0.00000000 C 9.80316474 0.72733984 0.00000000 C 8.57774954 -1.40186260 0.00000000 C 8.57775119 1.40186721 0.00000000 C 7.35203313 -0.72712345 0.00000000 C 7.35203498 0.72713111 0.00000000 C 6.12708042 -1.40181248 0.00000000 C 6.12708181 1.40182344 0.00000000 C 4.90125005 -0.72702583 0.00000000 C 4.90125192 0.72703978 0.00000000 C 3.67626264 -1.40182665 0.00000000 C 3.67626373 1.40184380 0.00000000 C 2.45061053 -0.72700538 0.00000000 C 2.45061228 0.72702526 0.00000000 C 1.22542025 -1.40184819 0.00000000 C 1.22542077 1.40187103 0.00000000 C 0.00000076 -0.72700523 0.00000000 C 0.00000220 0.72703012 0.00000000 C -1.22541763 -1.40184614 0.00000000 C -1.22541791 1.40187351 0.00000000 C -2.45060973 -0.72700133 0.00000000 C -2.45060882 0.72702988 0.00000000 C -3.67626130 -1.40182069 0.00000000 C -3.67626268 1.40185092 0.00000000 C -4.90125106 -0.72701813 0.00000000 C -4.90125087 0.72704838 0.00000000 C -6.12708102 -1.40180324 0.00000000 C -6.12708368 1.40183406 0.00000000 C -7.35203622 -0.72711294 0.00000000 C -7.35203684 0.72714247 0.00000000 C -8.57775195 -1.40185104 0.00000000 C -8.57775591 1.40187979 0.00000000 C -9.80316741 -0.72732637 0.00000000 C -9.80316889 0.72735237 0.00000000 C -11.02808220 -1.40202621 0.00000000 C -11.02808752 1.40204985 0.00000000 C -12.25479123 -0.72759616 0.00000000 C -12.25479369 0.72761516 0.00000000 C -13.47798930 -1.40233383 0.00000000 C -13.47799615 1.40234892 0.00000000 C -14.70668684 -0.72766070 0.00000000 C -14.70669060 0.72766904 0.00000000 C -15.92780843 -1.40262005 0.00000000 C -15.92781676 1.40262278 0.00000000 C -17.15791592 -0.72704792 0.00000000 C -17.15792086 0.72704254 0.00000000 C -18.37857861 -1.40248915 0.00000000 C -18.37858782 1.40247628 0.00000000 C -19.60663197 -0.72515780 0.00000000 C -19.60663718 0.72513662 0.00000000 C -20.83241158 -1.40099709 0.00000000 C -20.83242102 1.40096720 0.00000000 C -22.05049554 -0.72159208 0.00000000 C -22.05050050 0.72155378 0.00000000 C -23.29404554 -1.40186165 0.00000000 C -23.29405508 1.40181463 0.00000000 C -24.47752011 -0.70795174 0.00000000 C -24.47752497 0.70789650 0.00000000 H 25.43169762 -1.24963921 0.00000000 H 25.43170052 1.24960983 0.00000000 H 23.28624814 -2.50067533 0.00000000 H 23.28625380 2.50065108 0.00000000 H 20.83344360 -2.50119779 0.00000000 H 20.83344843 2.50117904 0.00000000 H 18.37903552 -2.50257986 0.00000000 H 18.37903994 2.50256517 0.00000000 H 15.92769443 -2.50273062 0.00000000 H 15.92769837 2.50271925 0.00000000 H 13.47769143 -2.50247122 0.00000000 H 13.47769521 2.50246413 0.00000000 H 11.02786475 -2.50218183 0.00000000 H 11.02786882 2.50218027 0.00000000 H 8.57768534 -2.50201420 0.00000000 H 8.57768970 2.50201881 0.00000000 H 6.12711206 -2.50196588 0.00000000 H 6.12711618 2.50197689 0.00000000 H 3.67631368 -2.50197885 0.00000000 H 3.67631728 2.50199615 0.00000000 H 1.22544168 -2.50199906 0.00000000

(22)

H 1.22544425 2.50202221 0.00000000 H -1.22544112 -2.50199710 0.00000000 H -1.22543995 2.50202495 0.00000000 H -3.67631406 -2.50197309 0.00000000 H -3.67631485 2.50200396 0.00000000 H -6.12711379 -2.50195683 0.00000000 H -6.12711687 2.50198837 0.00000000 H -8.57768803 -2.50200263 0.00000000 H -8.57769368 2.50203213 0.00000000 H -11.02786684 -2.50216895 0.00000000 H -11.02787553 2.50219338 0.00000000 H -13.47769131 -2.50245901 0.00000000 H -13.47770311 2.50247492 0.00000000 H -15.92769126 -2.50272193 0.00000000 H -15.92770546 2.50272530 0.00000000 H -18.37902917 -2.50257729 0.00000000 H -18.37904503 2.50256472 0.00000000 H -20.83343437 -2.50120193 0.00000000 H -20.83345152 2.50117211 0.00000000 H -23.28623729 -2.50068566 0.00000000 H -23.28625454 2.50063875 0.00000000 H -25.43168895 -1.24965499 0.00000000 H -25.43169752 1.24959324 0.00000000 22-acene (singlet), E = -3427.1460497984

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(23)

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C 26.92783024 -0.70795734 0.00000000 C 26.92783023 0.70796176 0.00000000 C 25.74442563 -1.40187276 0.00000000

(24)

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(25)

C -25.74441383 -1.40186821 0.00000000 C -25.74441109 1.40188069 0.00000000 C -26.92781730 -0.70795198 0.00000000 C -26.92781591 0.70796680 0.00000000 H 27.88202673 -1.24962228 0.00000000 H 27.88202671 1.24962673 0.00000000 H 25.73661770 -2.50069651 0.00000000 H 25.73661759 2.50070088 0.00000000 H 23.28385218 -2.50121360 0.00000000 H 23.28385206 2.50121792 0.00000000 H 20.82946590 -2.50259505 0.00000000 H 20.82946556 2.50259917 0.00000000 H 18.37813673 -2.50274546 0.00000000 H 18.37813616 2.50274915 0.00000000 H 15.92814874 -2.50248398 0.00000000 H 15.92814788 2.50248696 0.00000000 H 13.47835379 -2.50219265 0.00000000 H 13.47835264 2.50219461 0.00000000 H 11.02822623 -2.50202158 0.00000000 H 11.02822489 2.50202226 0.00000000 H 8.57770243 -2.50196948 0.00000000 H 8.57770098 2.50196869 0.00000000 H 6.12695338 -2.50198417 0.00000000 H 6.12695194 2.50198189 0.00000000 H 3.67615045 -2.50201657 0.00000000 H 3.67614903 2.50201279 0.00000000 H 1.22537330 -2.50203855 0.00000000 H 1.22537203 2.50203338 0.00000000 H -1.22538427 -2.50203896 0.00000000 H -1.22538525 2.50203261 0.00000000 H -3.67616094 -2.50201768 0.00000000 H -3.67616155 2.50201059 0.00000000 H -6.12696269 -2.50198582 0.00000000 H -6.12696282 2.50197833 0.00000000 H -8.57770959 -2.50197142 0.00000000 H -8.57770920 2.50196401 0.00000000 H -11.02823051 -2.50202365 0.00000000 H -11.02822946 2.50201689 0.00000000 H -13.47835497 -2.50219465 0.00000000 H -13.47835322 2.50218922 0.00000000 H -15.92814730 -2.50248556 0.00000000 H -15.92814471 2.50248224 0.00000000 H -18.37813306 -2.50274601 0.00000000 H -18.37812969 2.50274565 0.00000000 H -20.82945980 -2.50259399 0.00000000 H -20.82945583 2.50259733 0.00000000 H -23.28384356 -2.50121056 0.00000000 H -23.28383903 2.50121819 0.00000000 H -25.73660690 -2.50069150 0.00000000 H -25.73660204 2.50070391 0.00000000 H -27.88201403 -1.24961583 0.00000000 H -27.88201158 1.24963250 0.00000000 24-acene (singlet), E = -3731.6291088444

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(26)

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