Table 1. Data of optical properties
¹1
c
¹1 f
¹1 g
Comp
-
abs/nm,a ¾/M¹1 cm
-
PL,max/nmb
ΦPL
¸/nsd (»2)
kr/©109 s
knr/©109 s
M1
288, 25200
313, 21500
320, 36400
372, 40000
313, 44600
376, 39000
320
0.25d
0.44 (1.03)
0.57
1.7
M2
D1
401
406
0.40d
1.27 (1.01)
0.31
0.32
0.47
0.44
0.42d
0.002e
1.32 (1.08)
n.d.
c
aIn CHCl3 (1.0 © 10¹5 M). bIn CHCl3 (1.0 © 10¹6 M), excited at 290 nm. Photoluminescence quantum efficiency. dCalculated at
PL,max; all decay curves could be fitted by single-exponential decay. eCalculated at around 320 nm. fRadiative rate. gNonradiative rate.
-
1.0 © 10¹6 M for PL). The concentration used for PL measure-
ments (1.0 © 10¹6 M) was confirmed to be sufficiently dilute
(Figure S12 in the Supporting Information (SI)); therefore,
intermolecular π-π interactions could be ignored. The results are
summarized in Table 1, which also includes the results for the
PL decay studies (Figures S8, S10, and S13 in the SI). In the
absorption spectrum of M1 (Figure 2A), the π-π* transition
band of the tolane moiety was observed between 250 and
320 nm. Upon excitation at 290 nm, a PL peak with a vibrational
structure was observed at around 320 nm. As shown in
Figure 2B, M2 exhibited a typical absorption band of the
π-π* transition of the p-arylene-ethynylene moiety, and the peak
wavelengths -max of M2 were at 310 and 376 nm. By photo-
exciting M2 at 290 nm, a PL peak with a vibrational structure
was observed at around 400 nm.
The absorption spectrum of D1 was similar to that of M2
(Figure 2C). The molar extinction coefficient (¾) for the peak at
maximum absorption (313 nm) increased because of the overlap
between the absorption bands of the M1 and M2 moieties. On
the other hand, an overlap between the PL spectra of the M1 and
M2 units was not observed in the PL spectrum of D1. The
emission from the M1 moiety was nearly undetectable (PL
quantum efficiency: ΦPL = 0.002), and the emission peak from
the M2 moiety appeared (ΦPL = 0.42) with a vibrational
structure. As indicated by the PL lifetime of M2 (¸ = 1.27 ns,
»2 = 1.01) and D1 (¸ = 1.32 ns, »2 = 1.08) in Table 1, the
emission from the M1 moiety in D1 was not detected.10 The PL
intensity of D1 increased in comparison with that of M2 because
of the energy transfer from the M1 to the M2 unit in D1; in other
words, the antenna effect occurred. Fluorescence decay calcu-
lations suggest that the energy-transter efficiency (ΦET) of this
system was >99%. Identical PL behaviors were observed in
other good solvents such as THF.
Figure 3. (A) Molecular orbitals of the D1 model including
the oscillator strengths ( f ) of HOMO/LUMO and HOMO¹1/
LUMO+1.
To estimate theoretically the value of ΦET, density func-
tional theory (DFT) and time-dependent DFT calculations were
carried out on M1, M2, and D1 models. The -OC12H25 group
was replaced with -OCH3 for simplicity. The optimized
structure of the D1 model is shown in Figure S16 and Chart S1
in the SI; both stacked π-electron systems were planar in the
ground state, and the center-to-center distance (r) was calculated
to be 11.25 ¡. As shown in Figure 3, molecular orbitals of the
M1 and M2 moieties in D1 were found to lie mainly on the
HOMO¹1/LUMO+1 and HOMO/LUMO levels, respectively.
In addition, the oscillator strengths ( f ) of their π-electron
systems were estimated to be 1.79 and 0.66, respectively.11
These results indicate that each π-electron system in D1 existed
almost independently. The arrangement of the dipole moments
of the M1 and M2 moieties in D1 was favorable for the
fluorescence resonance energy transfer (FRET);12 in particular,
they were aligned along the long axis of the stacked π-electron
systems (Chart S1). Consequently, a high value of the orienta-
tion factor (¬2 = 3.59) was obtained from the combination of the
M1 and M2 moieties based on the [2.2]paracyclophane skeleton.
Chart S1 in the SI summarizes the parameters of the energy-
transfer system determined on the basis of the Förster mecha-
nism.12-14 The spectral overlap integral (J) was calculated from
the PL spectrum of M1 and the absorption band of M2 had a
value of 3.10 © 1014 M¹1 cm3. The values of J, refractive index
of CHCl3 (n = 1.446), ΦPL of M1, and ¬2 provided a relatively
large Förster radius (R0 = 42.1 ¡). As shown in Figure 4 and
Chart S1, the ΦET and energy-transfer rate kET were calculated to
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