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Table 1 Equilibrium and kinetic parameters for SP - MC isomerization of 1 in a water–MeCN mixture (7/3 v/v; HEPES 0.1 M, pH 7.0), determined in the
dark at 25 1C with different amounts of 2aa
2ab/equiv.
Keq
DrH/kJ molÀ1
DrS/J KÀ1 molÀ1
kSP-MC/10À4 sÀ1
DHa/kJ molÀ1
DSa/J KÀ1 molÀ1
0
1
2
10
30
2.95
3.12
3.09
3.07
3.05
À6.61 Æ 0.34
À6.61 Æ 0.79
À6.74 Æ 0.54
À6.73 Æ 0.30
À6.68 Æ 0.40
À13.2 Æ 1.0
À12.8 Æ 2.6
À13.2 Æ 1.8
À13.2 Æ 1.0
À13.1 Æ 1.3
0.52
0.62
0.72
3.92
7.38
107.7 Æ 2.9
87.0 Æ 3.6
74.8 Æ 1.3
45.6 Æ 3.5
44.0 Æ 4.7
32.5 Æ 9.1
À33.6 Æ 12.1
À73.3 Æ 4.6
À157.0 Æ 11.9
À157.6 Æ 15.7
a
The detailed procedures for equilibrium and kinetic absorption analysis are described in ESI. The data obtained at different temperatures are
b
summarized in Table S1 (ESI). The amount of 2a added relative to that of 1.
MC form with a TTC structure via the TS3 transition state.
During the isomerization process, the reaction (ii) is the rate-
determining step.22,23 This is confirmed by ab initio calcula-
tions based on the density functional theory (DFT) within the
Gaussian 09 program. Geometry optimizations of the SP form
of 1, intermediates, and the MC form of 1 were performed using
the B3LYP function with the 6-31G* basis set, where the
polarizable continuum model (PCM) was employed with water
as a solvent.24 The transition states were optimized using QST2
and QST3 methods, where the nature of stationary points was
checked by means of frequency calculations, and the transition
Fig. 3 Standard enthalpy (DrH) and activation enthalpy (DHa) for SP - MC
isomerization of 1 in the absence and presence of 30 equiv. of 2a.
states were verified by the intrinsic reaction coordinate (IRC)
calculations.25 Fig. 4 (black) summarizes the optimized structures
of intermediates and transition states on the ground state potential
(ca. À6.6 kJ molÀ1). These data suggest that, as shown in Fig. 3,
surface, along with the relative energies with respect to the SP form
of 1. Comparison of the transition energies for TS1, TS2, and TS3
clearly revealed that TS2 (step ii) exhibits the highest transition
energy (99.8 kJ molÀ1) and is indeed the rate-determining step for
the ground state energy of the MC form scarcely changes even
in the presence of 2a. Furthermore, the DrS values for all of the
systems show similar negative values (ca. À13 J KÀ1 molÀ1) due
to the rearrangement of the solvent molecules associated with
the SP - MC isomerization.21 These findings clearly suggest
that aromatic thiols do not affect the equilibrium of the SP and
MC forms.
SP - MC isomerization of 1. This suggests that, as reported,22,23
a
high rotational barrier around the C2QC3 bond results in very high
transition energy. As a result of this, the compound 1 undergoes
very slow SP - MC isomerization (Fig. 1).
Aromatic thiols exist as thiolate anions at a neutral pH.26
They have a strong nucleophilic character27 and, hence,
undergo nucleophilic addition to the electron-deficient carbon
atom for several types of molecules such as a,b-unsaturated
ketones,13,28 fullerenes,29 and imines.30 In the present case, as
shown in Scheme 2, the thiolate anion undergoes nucleophilic
addition to the electron-deficient C3 atom of the ring-opened
CCC intermediate of 1. This transfers the double bond and
increases the rotational mobility, resulting in a decrease in
activation energy for isomerization. The isomerization process
of 1 enhanced by aromatic thiolate (2a) involves following
reactions (Scheme 2): firstly, (iv) nucleophilic addition of 2a
to the C3 atom of the CCC intermediate produces the CCC-2a
intermediate via the TS4 transition state. According to this
reaction, the C1–C2QC3 bond becomes C1QC2–C3. Secondly, (v)
cis - trans isomerization around the single C2–C3 and C3–C4
bonds produces the CTT-2a intermediate via the TS5 transition
state. Finally, (vi) elimination of the 2a moiety followed by
cis - trans rotation of the resulting single C1–C2 and C3–C4
bonds produces the MC form with a TTC structure via the TS6
transition state.
The SP - MC isomerization of 1 accelerated by aromatic
thiols is due to the decrease in activation energy. This is
confirmed by the kinetic absorption analysis18 for SP - MC
isomerization of 1, performed with different amounts of 2a at
different temperatures (Fig. S5, ESI†). As shown in Table 1, the
rate of SP - MC isomerization (kSP-MC) increases with an
increase in the amount of 2a added. The activation enthalpy
(DHa) determined by the Arrhenius plot decreases with an
increase in the amount of 2a (Fig. S6, ESI†). This indicates that,
as shown in Fig. 3, the interaction between 1 and 2a indeed
decreases the activation energy for isomerization of 1, resulting
in rapid SP - MC isomerization (Fig. 1).
As shown in Scheme 2, thermal SP - MC isomerization of a
spiropyran dye involves three step reactions via the CCC and
CTC intermediates,22,23 where C and T denote cis and trans
forms, respectively, for the dihedral angles of N–C1–C2–C3,
C1–C2–C3–C4, and C2–C3–C4–C5 moieties (Table S2, ESI†). The
isomerization of 1 proceeds as follows: (i) the spiro C1–O bond
cleavage of the SP form produces the CCC intermediate via the
TS1 transition state; (ii) cis - trans isomerization around the
C2QC3 bond of the intermediate produces the CTC intermediate
via the TS2 transition state; and, (iii) cis - trans isomerization
around the C1–C2 bond of CTC results in the formation of
The above mechanism is confirmed by DFT calculations. Fig. 4
(green) shows the potential energy surface for the SP - MC
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Phys. Chem. Chem. Phys., 2014, 16, 12137--12142 | 12139