and molecular simulation techniques. These calculations esti-
mated the compatibility of binary mixtures.
Conclusions
Extended alkyl chains of the C70-derivatives increased the phase
segregation and interface roughness in bulk heterojunction
polymer solar cells with P3HT as a donor polymer. These effects
were caused by the enhanced solubility and increased molecular
binding energy of C70-PCBX itself with longer alkyl chains. A
moderate phase segregation was thought to enhance the nano-
morphology in the active layer of the device, resulting in
improved charge percolation, as evidenced by the higher Jsc and
Voc of the C70-PCBR5–R7 samples. However, in the case of an
excessively long alkyl chain, such as that in C70-PCBR9, all solar
cell parameters deteriorated, possibly due to poorer charge
transport across the excessively long intermolecular distance.
Through preparation of a series of C70-PCBX acceptor materials,
we have tested the P3HT polymer. A more meaningful applica-
tion would be to introduce new amorphous low band gap poly-
mers, which may require effective phase segregation without
further treatments, and they may require complementary
absorption of shorter wavelengths by the C70 moiety.
The chi-parameter, c, is the interaction parameter defined as
shown in eqn (2). The traditional Flory-Huggins model describes
each component as occupying a lattice site. For a lattice with
a coordination number Z, the mixing energy is represented by
eqn (3).
Emix
c ¼
(2)
RT
1
2
Emix
¼
ZðEbs þ Esb ꢁ Ebb ꢁ EssÞ
(3)
where Emix is the mixing energy, T is the absolute temperature,
R is the gas constant, and Eij is the binding energy between a unit
of component i and a unit of component j.
To perform a Blends calculation, the 3-hexylthiophene unit
was used as a base and the C70-PCBX molecules were used as
screens. Geometry-optimized structures of each 3-hexylth-
iophene repeating unit and C70-PCBX were optimized using
a density function theory (DFT) quantum mechanical molecular
modeling program (DMol3 in the Materials Studio 5.0 package,
Accelrysꢀ)22 with symmetry restrictions, as shown in the
supplementary data, Fig. S3.† In the previous section, we
assumed that the aggregation and/or segregation of the active
material was affected by the interactions with the solvent during
the film-forming process. However, in the Blends calculation,
only the interactions between the active components were
considered, and the solvent effect was ignored. The Blends
calculation results obtained using a Dreiding force field are
summarized in Table 3.
Acknowledgements
This work was supported by the Converging Research Center
Program through the National Research Foundation of Korea
(NRF) funded by the Ministry of Education, Science and
Technology (2010K000970) and by the New and Renewable
Energy of the Korea Institute of Energy Technology Evaluation
and Planning (KETEP) grant funded by the Korea government
Ministry of Knowledge Economy (2008-N-PV08-02).
Notes and references
The positive values of c for blending between P3HT and
C70-PCBXs indicated that both molecules preferred to be sur-
rounded by similar components, rather than intermixing. The c
parameter gradually increased in going from C70-PCBR1 to
C70-PCBR7, then decreased for C70-PCBR9. This calculation
correlated well with the segregated morphology of the active
layer, as confirmed by UV-Vis spectroscopy, XRD, and the
AFM. According to the Blends calculation, the main cause of the
increased c parameter value for C70-PCBR7 was the increase in
the binding energy of C70-PCBX itself (Ess) rather than in the
binding energy change between P3HT and C70-PCBX (Ebs) or
P3HT itself (Ebb).
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Table 3 Mixing properties of P3HT and C70-PCBXs.a
c
Emix
/
Ebb avg.d/ Ebs avg.d/ Ess avg.d/
cb
kcal molꢁ1 kcal molꢁ1 kcal molꢁ1 kcal molꢁ1 Zbs
e
ꢁ
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C70-PCBR1 33.10 19.60
C70-PCBR3 32.38 19.17
C70-PCBR5 41.27 24.44
C70-PCBR7 56.01 33.17
C70-PCBR9 42.14 24.96
ꢁ3.07
ꢁ3.07
ꢁ3.09
ꢁ3.08
ꢁ3.08
ꢁ6.19
ꢁ6.21
ꢁ6.31
ꢁ6.30
ꢁ6.32
ꢁ16.20
ꢁ16.18
ꢁ18.23
ꢁ21.43
ꢁ18.58
3.85
3.67
3.77
3.59
3.51
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a
P3HT is used as a base material and all values were obtained at 298 K.
b
c
d
Interaction parameter. Mixing energy. Average binding energy of
a base-base pair (Ebb), base-screen pair (Ebs) and screen-screen pair
(Ess). The coordination number, Zbs, is the number of screen
e
molecules (C70-PCBX) that can be packed around a single repeating
unit of base material (P3HT).
966 | J. Mater. Chem., 2011, 21, 960–967
This journal is ª The Royal Society of Chemistry 2011