Abstract
A theoretical study of the linear nitrogen-terminated carbon chains C n N (n = 3–12) is carried out with density functional theories and ab initio methods. All species in the ground state are fully optimized with the B3LYP, CAM-B3LYP, and RCCSD(T) calculations. The present results reveal that the carbon radicals under study possess stable structures with the X 2Σ+ ground-state symmetry for C n N (n = 3, 5) or X 2Π for the rest members in the series. According to the trends of odd/even alternation in energy differences and incremental binding energies, it is clear that the n-odd C n N chains are relatively more stable than n-even ones. Furthermore, the electronic spectra of C n N (n = 3–12) are investigated by means of CASPT2 method. The predicted vertical excitation energies from the ground state to the low-lying excited states basically agree well with the available experimental observations. In addition, by performing curve fittings, the vertical excitation energies of the transitions from the ground states (X 2Σ+ or X 2Π) to the low-lying excited state 22Π for the odd members are found to obey a nonlinear ΔE–n relationship as a function of chain size, matching the experimental findings well. Moreover, the strongest absorption band for the even series shows a nonlinear trend of biexponential decay.
Similar content being viewed by others
References
Merrill PW (1934) Publ Astron Soc Pac 46:206–207
Merrill PW (1936) Publ Astron Soc Pac 48:179–180
Merrill PW, Wilson OC (1938) Ap J 87:9–23
Rice CA, Maier JP (2013) J Phys Chem A 117:5559–5566
Jochnowitz EB, Maier JP (2008) Mol Phys 106:2093–2106
Jochnowitz EB, Maier JP (2008) Proc Int Astron Union 251:395–402
Jochnowitz EB, Maier JP (2008) Ann Rev Phys Chem 59:519–544
Caselli P, Hasegawa TI, Herbst E (1993) Astrophys J 408:548–558
Hasegawa TI, Herbst E (1993) Mon Not R Astron Soc 261:83–102
Eichelberger B, Snow TP, Barckholtz C, Bierbaum VM (2007) Astrophys J 667:1283–1289
Redman MP, Viti S, Cau P, Williams DA (2003) Mon Not R Astron Soc 345:1291–1296
Adams WS (1941) Astrophys J 93:11–23
Agúndez M, Fonfria JP, Cernicharo J, Pardo JR, Guélin M (2008) Astron Astrophys 479:493–501
Belau L, Wheeler SE, Ticknor BW, Ahmed M, Leone SR, Allen WD, Schaefer HF, Duncan MA (2007) J Am Chem Soc 129:10229–10243
McKellar A (1940) Publ Astron Soc Pacific 52:187–192
Guélin M, Thaddeus P (1977) Astrophys J Lett 212:L81–L86
Friberg P, Hjalmarson Å, Irvine WM, Guélin M (1980) Astrophys J 241:L99–L103
Gúelin M, Neininger N, Cernicharo J (1998) J Astron Astrophys 335:L1–L4
Pauzat F, Ellinger Y, Mclean AD (1991) Astrophys J 369:L13–L16
Botschwina P (1996) Chem Phys Lett 259:627–634
Mebel AM, Kaiser RI (2002) Astrophys J 564:787–791
Li HY, Cheng WC, Liu YL, Sun BJ, Huang CY, Chen KT, Tang MS, Kaiser RI, Chang AHH (2006) J Chem Phys 124:044307–044325
Botschwina P (2003) Phys Chem Chem Phys 5:3337–3348
McCarthy MC, Fuchs GW, Kucera J, Winnewisser G, Thaddeus P (2003) J Chem Phys 118:3549–3557
Kostko O, Zhou J, Sun BJ, Lie JS, Chang AHH, Kaiser RI, Ahmed M (2010) Astrophys J 717:674–682
Gottlieb CA, Gottlieb EW, Thaddeus P, Kawamura H (1983) Astrophys J 275:916–921
Kasai Y, Sumiyoshi Y, Endo Y, Kawaguchi K (1997) Astrophys J 477:L65–L67
Grutter M, Wyss M, Maier JP (1999) J Chem Phys 110:1492–1496
Nagarajan R, Maier JP (2010) Int Rev Phys Chem 29:521–554
McCarthy MC, Gottlieb CA, Thaddeus P, Horn M, Botschwina P (1995) J Chem Phys 103:7820–7827
Ding YH, Liu JL, Huang XR, Li ZS, Sun CC (2001) J Chem Phys 114:5170–5179
Chuchev K, BelBruno JJ (2002) J Phys Chem A 106:4240–4244
Botschwina P, Horn M, Markey K, Oswald R (1997) Mol Phys 92:381–392
Belbruno JJ, Tang ZC, Smith R, Hobday S (2001) Mol Phys 99:957–967
Dunning TH (1989) J Chem Phys 90:1007–1023
Pople JA, Head-Gordon M, Raghavachari K (1987) J Chem Phys 87:5968–5975
Watts JD, Gauss J, Bartlett RJ (1993) J Chem Phys 98:8718–8733
Knowles PJ, Hampel C, Werner H-J (1993) J Chem Phys 99:5219; (2000) J Chem Phys 112:3106 (Erratum)
Lee C, Yang W, Parr RG (1988) Phys Rev B 37:785–789
Stephens PJ, Devlin FJ, Chabalowski CF, Frich MJ (1994) J Phys Chem 98:11623–11627
Becke AD (1993) J Chem Phys 98:5648–5652
Yanai T, Tew DP, Handy NC (2004) Chem Phys Lett 393:51–57
Celani P, Werner HJ (2000) J Chem Phys 112:5546–5557
Andersson K, Malmqvist PÅ, Roos BO, Sadlej AJ, Wolinski K (1990) J Phys Chem 94:5483–5488
Andersson K, Malmqvist PÅ, Roos BO (1992) J Chem Phys 96:1218–1226
Werner HJ, Knowles PJ (1985) J Chem Phys 82:5053–5063
Knowles PJ, Werner HJ (1985) Chem Phys Lett 115:259–267
Roos BO (1987) In: Lawley KP (ed) Ab initio methods in quantum chemistry, vol 2. Wiley, New York, p 399
Peyerimhoff SD (1998) In: Schleyer PVR, Allinger NL, Clark T, Gasteiger J, Kollman PA, Schaefer HF, Schreiner PR (eds) The encyclopedia of computational chemistry, vol 4. Wiley, New York, p 2654
Frisch MJ, Trucks GW, Schlegel HB et al (2009) Gaussian 09, Revision A.02, Gaussian, Inc., Wallingford CT
Werner H-J, Knowles PJ (2009) Molpro: a package of ab initio programs (see http://www.molpro.net for more details)
Zhang YX, Ning P, Zhang JL (2013) Spectrochim Acta A 101:283–293
Guo XG, Zhang JL, Zhao Y (2012) J Comput Chem 33:93–102
Peach MJG, Tellgren EI, Salek P, Helgaker T, Tozer DJ (2007) J Phys Chem A 111:11930–11935
Puzzarini C, Stanton JF, Gauss J (2010) Int Rev Phys Chem 29:273–367
Botschwina P, Horn M, Flügge J, Seeger S (1993) J Chem Soc Faraday Trans 89:2219–2230
Zhang YX, Wang L, Li YY, Zhang JL (2013) J Chem Phys 1384806186:1–9
Zhang YX, Guo J, Zhang JL (2012) Int J Mass Spectrom 309:56–62
Foresman JB, Frisch A (1996) Exploring chemistry with electronic structure methods. Gaussian Inc., Pittsburgh, PA
Acknowledgments
The authors gratefully thank the State Key Laboratory of Physical Chemistry of Solid Surfaces of Xiamen University for providing computational resources. This work was supported by the National Natural Science Foundation of China (21003036), the Foundation for University Key Teachers from the He’nan Educational Committee, Science Foundation of He’nan Educational Committee (2008A150005 and 2011B150003), Science Foundation of Henan University (SBGJ090507), and Doctor Foundation of Henan University.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Y., Li, Y., Wang, L. et al. Theoretical studies on the structures and electronic spectra of carbon chains C n N (n = 3–12). Theor Chem Acc 133, 1420 (2014). https://doi.org/10.1007/s00214-013-1420-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-013-1420-2