Abstract
The 1A1 ground and the first 1B2 excited states of the methylenecyclopropene (triafulvene) are described by localized wave functions, based on 20 structures valence bond structures. The results are compared to CASSCF(4,4) calculations for both the energetics and the dipole moment. Additional calculations with partial electronic delocalization are presented, and it is shown that the dipole moment modification does not correspond to a situation where the antiaromatic situation prevails (with 4n electrons in the cycle). Part of the analysis uses a “trust factor” that helps to decide if a wave function is appropriate to describe a given state. The trust factor compares the VB wave function to the CASSCF’s with their overlap. Finally, the valence bond density is used to produce density maps that illustrate the electron transfer upon excitation.
Similar content being viewed by others
References
Berthier G, Pullman B (1949) Configuration géométrique et moment dipolaire des hydrocarbures conjugués. Bull Soc Chim Fr 16:D457–D465
Syrkin Y, Dyotkina M (1946) The resonance energies of the polynuclear hydrocarbon. Bull Académie Sci URSS 2:153–178
Roberts JD, Streitwieser A Jr, Regan CM (1952) Small-ring compounds. X. Molecular orbital calculations of properties of some small-ring hydrocarbons and free radicals. J Am Chem Soc 74:4579–4582
Staley SW, Norden TD (1984) Synthesis and direct observation of methylenecyclopropane. J Am Chem Soc 106:3699–3700
Billups WE, Lin LJ, Casserly EW (1984) Synthesis of methylenecyclopropene. J Am Chem Soc 106:3698–3699
Maier G, Hoppe M, Lanz K, Reisenauer HP (1984) Neue wege zum cyclobutadien und methylencyclopropen. Tetrahedron Lett 25:5645–5648
Saebø S, Stroble S, Collier W et al (1999) Aromatic character of tria- and pentafulvene and their exocyclic Si, Ge, and Sn derivatives. An ab initio study. J Org Chem 64:1311–1318
Najafian K, von Ragué SP, Tidwell TT (2003) Aromaticity and antiaromaticity in fulvenes, ketocyclopolyenes, fulvenones, and diazocyclopolyenes. Org Biomol Chem 1:3410–3417
Nakajima T, Nakatsuji H (1999) Energy gradient method for the ground, excited, ionized, and electron-attached states calculated by the SAC (symmetry-adapted cluster)/SAC–CI (configuration interaction) method. Chem Phys 242:177–193
Möllerstedt H, Piqueras MC, Crespo R, Ottosson H (2004) Fulvenes, fulvalenes, and azulene: are they aromatic chameleons? J Am Chem Soc 126:13938–13939
Rosenberg M, Dahlstrand C, Kilså K, Ottosson H (2014) Excited state aromaticity and antiaromaticity: opportunities for photophysical and photochemical rationalizations. Chem Rev 114:5379–5425
Guareschi R, Zulfikri H, Daday C et al. (2016) Introducing QMC/MMpol: quantum Monte Carlo in polarizable force fields for excited states. J Chem Theory Comput 12:1674–1683
Serrano-Andrés L, Pou-Amérigo R, Fülscher MP, Borin AC (2002) Electronic excited states of conjugated cyclic ketones and thioketones: a theoretical study. J Chem Phys 117:1649
Racine J, Hagebaum-Reignier D, Carissan Y, Humbel S (2016) Recasting wave functions into valence bond structures: a simple projection method to describe excited states. J Comput Chem 37:771–779
Schmidt MW, Baldridge KK, Boatz JA et al (1993) General atomic and molecular electronic structure system. J Comput Chem 14:1347–1363
Chen Z, Ying F, Chen X et al (2015) XMVB 2.0: a new version of Xiamen valence bond program. Int J Quantum Chem 115:731–737
Hiberty PC, Humbel S, Byrman CP, van Lenthe JH (1994) Compact valence bond functions with breathing orbitals: application to the bond dissociation energies of F2 and FH. J Chem Phys 101:5969–5976
Hiberty PC, Shaik SS (2002) Breathing-orbital valence bond method—a modern valence bond method that includes dynamic correlation. Theor Chim Acta 108:255–272
Clark T, Chandrasekhar J, Spitznagel GW, Schleyer PVR (1983) Efficient diffuse function-augmented basis sets for anion calculations. III. The 3-21+G basis set for first-row elements, Li-F. J Comput Chem 4:294–301
Krishnan R, Binkley JS, Seeger R, Pople JA (1980) Self-consistent molecular orbital methods. XX. A basis set for correlated wave functions. J Chem Phys 72:650–654
Norden TD, Staley SW, Taylor WH, Harmony MD (1986) Electronic character of methylenecyclopropene: microwave spectrum, structure, and dipole moment. J Am Chem Soc 108:7912–7918
Merchant M, González-Luque R, Roos BO (1996) A theoretical determination of the electronic spectrum of methylenecyclopropene. Theor Chim Acta 94:143–154
Cammi R, Frediani L, Mennucci B et al. (2002) A second-order, quadratically convergent multiconfigurational self-consistent field polarizable continuum model for equilibrium and nonequilibrium solvation. J Chem Phys 117:13–26
Cammi R, Fukuda R, Ehara M, Nakatsuji H (2010) Symmetry-adapted cluster and symmetry-adapted cluster-configuration interaction method in the polarizable continuum model: theory of the solvent effect on the electronic excitation of molecules in solution. J Chem Phys 133:024104
Solà M (2013) Forty years of Clar’s aromatic π-sextet rule. Front Chem. doi:10.3389/fchem.2013.00022
Khatmi D, Carissan Y, Hagebaum-Reignier D et al. (2016) Mesomerism, ring & substituent effects, a computational chemistry experiment. J Lab Chem Educ 4:25–34
Carissan Y, Hagebaum-Reignier D, Goudard N, Humbel S (2008) Hückel-Lewis projection method: a “weights watcher” for mesomeric structures. J Phys Chem A 112:13256–13262
Chirgwin BH, Coulson CA (1950) The electronic structure of conjugated systems. VI. Proc R Soc Lond Math Phys Eng Sci 201:196–209
Thorsteinsson T, Cooper DL (1998) Nonorthogonal weights of modern VB wave functions. Implementation and applications within CASVB. J Math Chem 23:105–126
Norbeck JM, Gallup GA (1974) Valence-bond calculation of the electronic structure of benzene. J Am Chem Soc 96:3386–3393
Scott AP, Agranat I, Biedermann PU et al (1997) Fulvalenes, fulvenes, and related molecules: an ab initio study. J Org Chem 62:2026–2038
Carissan Y, Goudard N, Hagebaum-Reignier D, Humbel S (2016) Localized structures at the Hückel level, a Hückel-derived valence bond method. Appl Topol Methods Mol Chem 22:337–360
Baird NC (1972) Quantum organic photochemistry. II. Resonance and aromaticity in the lowest 3. pi. pi.* state of cyclic hydrocarbons. J Am Chem Soc 94:4941–4948
Tognetti V, Morell C, Joubert L (2015) Quantifying electro/nucleophilicity by partitioning the dual descriptor. J Comput Chem 36:649–659
Acknowledgements
Professor Wei Wu at Xiamen University is gratefully acknowledged for the XMVB code. The authors also acknowledge Dr. Tognetti and Pr. Christophe Morell for the access to the Descriptor algorithm to integrate the density differences.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper belongs to Topical Collection Festschrift in Honor of Henry Chermette
Rights and permissions
About this article
Cite this article
Racine, J., Touadjine, M.A., Rahmouni, A. et al. Methylenecyclopropene: local vision of the first 1B2 excited state. J Mol Model 23, 22 (2017). https://doi.org/10.1007/s00894-016-3191-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00894-016-3191-x