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theoretical calculations. The energy-minimized molecular
whole spectrum of the luminol and TPE.[8] It was found that
structures (Figure 3g–i) were optimized using the density
functional theory (DFT) method B3LYP with the base 6-
31G(d,p).[33,34] The distances between the C atom of the end
group and the N atom were calculated to be 27.6, 27.9, and
27.1 ꢀ, respectively, while the distance between the C atom of
the headgroup and the N atom was calculated to be 1.5 ꢀ. The
thickness of solvation layer was about 2 ꢀ.[31] By summing the
molecular length, the headgroup radius, and the thickness of
the solvation layer,[30–32] the estimated hydrodynamic radii of
the three micelles were 3.11, 3.14, and 3.06 nm, which
approximately equaled those obtained by DLS. It was worth
noting that the neighboring TPE molecules were packed with
overlapping benzyl fragments (ca. 4.3 ꢀ) in the crystal
lattice.[35] The hydrodynamic diameter of TPE-C12TAB ob-
tained by DLS (5.85 nm) fell within the estimated range
(5.69–6.12 nm). Moreover, the effects of the presence of
Co(NO3)2 on the micelle aggregates and photophysical
properties were investigated. As shown in the Supporting
Information, Figure S14, the hydrodynamic diameters of the
three micelles remained unchanged after the addition of
Co(NO3)2 because low concentrations of neutral electrolytes
caused no change in the micelle size.[36] The fluorescence
spectra of the micelle solutions of C8-TPE-C4TAB, C4-TPE-
C8TAB, and TPE-C12TAB in the absence and presence of
Co(NO3)2 are given in the Supporting Information, Fig-
ure S15. There was a slight increase in the fluorescence
intensity with the addition of 10 mM of Co(NO3)2. The
fluorescence enhancement is because the shielding effect of
neutral electrolytes can reduce the electrical repulsion
between the charged headgroups, allowing the tighter packing
to further restrict the intramolecular motions of TPE
groups.[36] Therefore, the anchored positions of the TPE
acceptors in the three micelles were at 11.9, 17.3, and 22.4 ꢀ
from the cationic headgroups, respectively.
Luminol has a pKa value of ca. 6.7, and it easily loses
a proton in basic solution to form the luminol monoan-
ion.[37–39] By physically mixing an alkaline solution of luminol
with an aqueous solution of cationic micelles, the luminol
monoanions could be electrostatically adsorbed onto the
cationic headgroups of micelles.[40] The strong electrostatic
attraction between luminol monoanions and headgroups of
cationic micelles ensures that the luminol monoanions could
be anchored at the micelle interface, rather than diffuse inside
the micelles.[41–43] Accordingly, the distance between the
luminol anions and the TPE acceptors was equal to the
distance between the cationic headgroups and the center of
the TPE acceptors in the C8-TPE-C4TAB, C4-TPE-C8TAB,
and TPE-C12TAB micelles (i.e., 11.9 ꢀ, 17.3 ꢀ, and 22.4 ꢀ).
Figure 4 and the Supporting Information, Figures S16–S18
show the CL spectra of different concentrations of luminol
ranging from 40 to 110 mM in the presence of 80 mM of C8-
TPE-C4TAB, C4-TPE-C8TAB, and TPE-C12TAB, respectively.
Luminol could deprotonate to form luminol anion as the pH
values of luminol solution and the final solutions containing
micelles, luminol, and cobalt ions (Supporting Information,
Table S1) were higher than the pKa of luminol. The CRET
efficiency was determined through dividing the integral area
of the TPE emission spectrum by the integral area of the
the CRET efficiency was almost constant with increasing
luminol concentrations until 60 mM, above which the CRET
efficiency decreased sharply. These results indicated that the
adsorption of the micelle interface was saturated when the
luminol concentration reached 60 mM. Further increases in
the luminol concentrations could make them dissolve in the
bulk solution rather than localize on the micelle interface,
resulting in the longer donor–acceptor distances. To maintain
the luminol donor-TPE acceptor distance constant, the
luminol concentrations in this work were employed within
60 mM. In addition, the electrostatic interaction between the
luminol anions and the three cationic micelles was examined
by determining the zeta potentials of the three micelle
solutions in the absence and presence of 60 mM of luminol.
Figures 4c, f, and i show that the zeta potentials of the C8-
TPE-C4TAB, C4-TPE-C8TAB, and TPE-C12TAB micelles
were 53.7, 53.4, and 55.5 mV. The addition of luminol could
reduce their values to 40.3, 40.1, and 39.0 mV. The partial
neutralization of zeta potentials clearly indicated that the
luminol anions were adsorbed at the micelle interface through
electrostatic interaction. Accordingly, 11.9 ꢀ, 17.3 ꢀ, and
22.4 ꢀ can be used as the CRET donor–acceptor distances
when the luminol concentrations were controlled within
60 mM.
When the luminol concentrations were 40, 50, and 60 mM,
the average values of the corresponding CRET efficiencies
were 99.14 Æ 0.07%, 93.41 Æ 0.10%, and 72.39 Æ 0.22%, re-
spectively. To ensure that micelle formation was critical to the
calculations, the energy transfer behavior was further per-
formed at lower concentration than CMC. The CL spectra of
luminol at 60 mM in the presence of C8-TPE-C4TAB, C4-TPE-
C8TAB, and TPE-C12TAB at 20 mM are shown in the
Supporting Information, Figure S19. The corresponding
CRET efficiencies were calculated to be 64.06%, 81.85%,
and 60.73%, respectively. These results indicated that luminol
anions could bind to positively charged C8-TPE-C4TAB, C4-
TPE-C8TAB, and TPE-C12TAB molecules to shorten their
distance for CRET to occur. However, in the absence of
micelle, the donor–acceptor distance was unknown. There-
fore, the quantitative relationship between CRET efficiency
and donor–acceptor distance must be performed in the
presence of micelle.
With knowing the CRET efficiency and the distance
between luminol donors and TPE acceptors, their Fçrster
distances were calculated to be 26.3 Æ 0.3, 26.9 Æ 0.1, and
26.3 Æ 0.1 ꢀ, respectively (E = R0 / (R06 + r6), where E was the
6
CRET efficiency, and R0 and r corresponded to the Fçrster
distance and the donor–acceptor distance, respectively).[3–5]
Apparently, they had nearly the same Fçrster distance.
Moreover, the efficiency of resonance energy transfer as
a function of distance was given by E = (R0/r)j/[(R0/r)j + 1],
where R0 was the distance corresponding to 50% transfer and
j was the exponent of the distance dependence.[3–5] In the
current micelle systems of C8-TPE-C4TAB, C4-TPE-C8TAB,
and TPE-C12TAB, the calculated j was 6.0 Æ 0.1.[3–5] Therefore,
it was concluded that the CRETefficiency was proportional to
the inverse sixth power of the donor–acceptor distance, which
agreed well with Fçrster resonance theory.
Angew. Chem. Int. Ed. 2021, 60, 2 – 9
ꢀ 2021 Wiley-VCH GmbH
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