Theoretical investigation of phenylene-based materialsin their pristine and doped state
Egbert Zojer a,b,*, Jero^me Cornil b, Gunther Leising a, Jean-Luc Bredas b
a Institut fur Festkorperphysik, Technische Universitat Graz, Petersgasse 16, 8010 Graz, Austriab Service de Chimie des Materiaux Nouveaux, Centre de Recherche en Electronique et Photonique Moleculaires,
Universite de Mons Hainaut, B-7000 Mons, Belgium
Phenylene-based organic materials play an important role in organic device technology, especially in light emitting
diodes and displays. We have investigated their geometries and optical transitions in both pristine and doped states,
paying special attention to chain-length eects as well as to the implications of inter-ring twists considering also bridged
ladder type molecules. Our calculations give an extent of four benzene rings for the geometry modifications associated
with the formation of polarons and six to eight rings for bipolarons. We calculate two sub-gap absorption features for
polarons in short-chain molecules and a single peak for bipolarons. In longer chains and for interacting bipolarons, this
situation changes considerably within the theoretical framework we use. 1999 Elsevier Science B.V. All rights re-served.
PACS: 36.20.Kd; 36.20.Hb; 31.25.Qm; 78.66.Qn
Keywords: Quantum-chemical simulations; Oligophenylenes; Ladder-type molecules; Polarons; Bipolarons
Conjugated organic materials based on phen-ylene repeat units play an important technologicalrole due to their wide range of possible applica-tions in various devices, especially in light emittingdiodes (LEDs) [1,2], light emitting electrochemicalcells (LECs)  and lasers . A big advantage ofthese materials is their emission in the blue spectralrange, which can e.g. be utilized to achieve redgreenblue (RGB) full color displays via colorconversion techniques . Ladder type oligo- andpolyphenylenes, in which the rotational degree offreedom of the phenylene rings linked in para-
position is eliminated by an additional inter-ringbridge , are especially interesting because oftheir high quantum eciencies , a high degree ofintra-chain order , a steep absorption onset andlow sub-gap absorption . The main goal of thepresent work is to investigate the influence of chainlength and inter-ring bridging on the geometry andoptical properties of phenylene-based systems andto highlight the eect of doping in these materials.
2. Theoretical methodology
We have investigated para-phenylene oligomerswith 212 repeat units (hereafter denoted nP andnlP, with n corresponding to the number of ringsand l denoting the bridged ladder-type character
Optical Materials 12 (1999) 307310
* Corresponding author: Tel.: +43-316-873-8475; fax: +43-
316-873-8478; e-mail: email@example.com
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nitude of the bond length modifications is similarin the bridged and unbridged molecules  andthe additional inter-ring bonds in the ladder typespecies are virtually not aected by the dopingprocess. From the extent of the changes in bondlengths calculated in singly charged molecules upto 6P and 6lP and in the doubly charged case up to10P and 12lP, respectively, an extent of four ben-zene rings can be estimated for polarons and six toeight rings for bipolarons.
4. Optical absorption
The positions of the lowest optically allowedtransitions in twisted, planar and bridged oligo-phenylene molecules in the neutral state are shownin Fig. 3. For the twisted oligophenylenes we ob-tain an excellent agreement between the INDO/SCI calculations and experimental data for un-substituted and substituted oligophenylenes insolution . There is also a very good corre-spondence between the simulations for bridgedoligophenylenes and the data we have obtained forthe corresponding substituted oligomers in hexanesolution. In all investigated cases the energy of thetransition is proportional to the inverse number ofbenzene rings in the molecules, as also observedand predicted for other conjugated systems (see
references in Ref. ). In spite of the associateddistortions the inter-ring bridge further reduces theenergy of the lowest transition compared to anunbridged but also planarized conformation. Ananalysis of the CI expansion coecients of the firstexcited state shows that its description in all mol-ecules is dominated by the transition from theHighest Occupied Molecular Orbital (HOMO) tothe Lowest Unoccupied Molecular Orbital(LUMO) and therefore is of strong single particlecharacter .
The geometry relaxations associated with theoxidation in a doping process result in a destabi-lization of the HOMO (becoming the lower pola-ron or bipolaron level) and a stabilization of theLUMO (becoming the upper polaron or bipolaronlevel). This gives rise to new sub-gap absorptionfeatures, as shown in Fig. 4: (i) The formation ofpolarons leads to the appearance of two newpeaks. The first one originates from a transitionfrom the highest doubly occupied level to thesingly occupied lower polaron level. For the sec-ond transition correlation eects do play an im-portant role. The CI expansion is dominated by atransition between the two polaron levels but thereare also significant contributions of excitationsfrom lower-lying occupied states to the upperpolaron level . (ii) In short-chained systems thecreation of bipolarons induces a single sub-gappeak governed by a transition from the new HO-MO to the lower bipolaron level. However, the
Fig. 3. Evolution of the lowest INDO/SCI transition energy of
neutral oligophenylenes in their fully optimized, planar and
bridged conformations as a function of inverse chain length.
The simulations are compared to experimental data for nP
molecules from the literature  and to the energies at the
center of the vibronic progressions of the lowest lying transi-
tions of 5lP and 7lP in hexane solution.
Fig. 4. INDO/SCI simulated absorption spectra of 6lP in the
neutral, singly (polaron) and doubly (bipolaron) positively
E. Zojer et al. / Optical Materials 12 (1999) 307310 309
situation changes in longer, polymer-like mole-cules, for which a second peak involving transi-tions from energetically lower-lying occupiedorbitals to the lower bipolaron level gains signifi-cant oscillator strength. A second sub-gap ab-sorption peak is also observed, when consideringinteracting bipolarons generated by removing fourcharges from a single oligophenylene molecule.
Geometry optimizations performed at the AM1level yield an only slight quinoid character in thebenzene rings of planar and twisted oligophenyl-enes. In bridged systems a distortion of the mo-lecular backbone is observed. Upon doping thequinoid character of the central benzene ringsstrongly increases and the unbridged systemsadopt a more planar conformation. INDO/SCIsimulations of the optical absorption of neutralchains are in good agreement with experimentaldata and yield the lowest transition energies forbridged oligophenylenes. Doping leads to two newsub-gap absorption features in short chains sup-porting polarons and to a single sub-gap peak inshort doubly oxidized molecules.
The work in Graz is financially supported by aDissertationsstipendium of the Austrian Academyof Science, by the Spezialforschungsbereich El-ektroaktive Stoe and by a Forderungsstipendiumof the Technical University Graz. The work inMons is partly supported by the Belgian FederalGovernment Po^le dAttraction Interuniver-sitaire en Chimie Supramoleculaire et Catalyse(PAI 4/11), the Belgian National Fund for Sci-entific Research (FNRS-FRFC), and an IBMAcademic Joint Study. J.C. is an FNRS researchfellow.
 Y. Ohmori, M. Uchida, K. Muro, K. Yoshino, Jpn. J.
Appl. Phys., Part 2, 30 (1991) L1941; G. Grem, G.
Leditzky, B. Ullrich, G. Leising, Adv. Mater. 4 (1992) 36;
W. Graupner, G. Grem, F. Meghdadi, C. Paar, G. Leising,
U. Scherf, K. Mullen, W. Fischer, F. Stelzer, Mol. Cryst.Liq. Cryst. 256 (1994) 549; M. Era, T. Tsutsui, S. Saito,
Appl. Phys. Lett. 67 (1996) 2436; Y. Yang, Q. Pei, A.J.
Heeger, J. Appl. Phys. 79 (1996) 934.
 S. Tasch, A. Niko, G. Leising, U. Scherf, Appl. Phys. Lett.
68 (1996) 1090.
 F.P. Wenzl, S. Tasch, J. Gao, L. Holzer, U. Schert, A.J.
Heeger, G. Leising, Mat. Res. Soc. Symp. Proc. 488 (1998)
 C. Zenz, W. Graupner, S. Tasch, G. Leising, U. Scherf,
Appl. Phys. Lett. 71 (1997) 2566.
 S. Tasch, C. Brandstatter, F. Meghdadi, G. Leising, G.Froyer, L. Athouel, Adv. Mater. 9 (1997) 33.
 U. Scherf, K. Mullen, Makromol. Chem. Rapid. Commun.
12 (1991) 489.
 J. Stampfl, S. Tasch, G. Leising, U. Scherf, Synth. Met. 71
 W. Graupner, S. Eder, M. Mauri, G. Leising, U. Scherf,
Synth. Met. 69 (1995) 419.
 M. Moser, S. Tasch, G. Leising, Synth. Met. 84 (1997) 651.
 M.J.S. Dewar, E.G. Zoebisch, E.F. Healy, J.J.P. Stewart,
J. Am. Chem. Soc. 107 (1985) 3902.
 S. Irle, H. Lischka, J. Chem. Phys. 107 (1997) 3021.
 J.L. Bredas, B. Themans, J.G. Fripiat, J.M. Andre, R.R.
Chance, Phys. Rev. B 29 (1984) 6761.
 J.A. Pople, D.L. Beveridge, P.A. Dobosh, J. Chem. Phys.
47 (1967) 2026.
 E. Zojer, J. Cornil, J.L. Bredas, G. Leising, Phys. Rev. B
59, in press.
 J. Cornil, D. Beljonne, J.L. Bredas, J. Chem. Phys. 103
(1995) 834; J. Cornil, D. Beljonne, J.L. Bredas, J. Chem.Phys. 103 (1995) 842.
 J. Almlof, Chem. Phys. 6 (1974) 135.
 K.N. Baker, A.V. Fratini, T. Resch, H.C. Knachel, W.W.
Adams, E.P. Socci, B.L. Farmer, Polymer Papers 34 (1993)
1571; C. Ambrosch-Draxl, J.A. Majewski, P. Vogl, G.
Leising, Phys. Rev. B 51 (1995) 9668; S. Guha, W.
Graupner, R. Resel, M. Chandrasekhar, R. Glaser, G.
Leising, J. Chem. Phys., submitted.
 For AM1 simulations on bridged oligophenylenes, com-
pare also: N. Johansson et al., to be published.
 R.K. Khanna, Y.M. Jiang, B. Srinivas, Ch.B. Smithhart,
D.L. Wertz, Chem. Mater. 5 (1993) 1792 and references
therein; J. Grimme, M. Kreyenschmidt, F. Uckert, K.
Mullen, U. Scherf, Adv. Mater. 7 (1995) 292; H. Gregorius,
W. Heitz, K. Mullen, Adv. Mater. 4 (1993) 279.
310 E. Zojer et al. / Optical Materials 12 (1999) 307310