Photoisomerizaiton of Norbornadiene
glassy solvent of MTHF at 77 K, the diffusion of molecules is re-
stricted, and the intermolecular phosphorescence quenching
can be excluded. A control experiment on the phosphores-
cence measurement of a mixture of BP–Am and NBD–COOMe
without the salt bridge also supports this contention (see Sup-
porting Information). All the results suggest that the phosphor-
escence of BP in the mixture of BP–Am and NBD–COOH can
only be quenched by the NBD group through the amidinium–
carboxylate salt bridge formation.
escence lifetime measurements on the different ratio mixtures
of NBD–COOH and BP–Am validate our presumption. The por-
tion of the short lifetime species increases, and the proportion
of the longer lifetime component is getting less with increas-
ing the percentage of NBD–COOH in the mixture. The ampli-
tudes of the shorter lifetime species (A ) and the longer life-
1
time component (A =1ꢀA ) represent the relative amounts of
2
1
the associated BP–(amidinium-carboxylate)–NBD and dissocia-
tive BP–Am, respectively. The association constant can be ex-
pressed as K =A C /[(C ꢀA C )(CꢀA C )], where C and C are
To clarify the reason for the quenching of BP phosphores-
cence by the NBD group in the BP–(amidinium-carboxylate)–
NBD system, we estimated the free energy change involved in
an electron-transfer process from the NBD group to the BP
a
1
0
0
1
0
1
0
0
the concentrations of adding amount of NBD–COOH and BP–
Am, respectively; A C , (C ꢀA C ) and (CꢀA C ) represent the
1
0
0
1
0
1 0
concentrations of associated species BP–(amidinium-carboxy-
late)–NBD, free BP–Am and NBD–COOH, respectively. By using
the amplitudes A and A obtained from the phosphorescence
[14]
chromophore following the Rehm–Weller Equation [Eq. (1)]:
1
2
þ
ꢀ
2
lifetime measurements of the mixture of BP–Am and NBD–
DG ¼ 23:06½EðDC =DÞꢀEðA=AC ÞꢁꢀE ꢀe =re
00
ð1Þ
COOH with different ratios, the K value of BP–(amidinium-car-
a
2
0
ꢀ1
ꢀ
e =2 ð1=r þ 1=r Þð1=e ꢀ1=eÞ ðkcal mol
Þ
3
ꢀ1
þ
ꢀ
boxylate)–NBD can be calculated to be 3.2ꢀ10 m , and the
plot of (A ) vs (1ꢀA ) (CꢀA C ) with a linear fit is shown in
1
1
1 0
E00 is the triplet excited-state energy of the 4-substituent ben-
Figure 4.
ꢀ
1 [15]
zophenone (69 kcalmol ). The oxidation potential of nor-
bornadiene E(NBDC /NBD) and the reduction potential of ben-
+
ꢀ
[11a]
zophenone E(BP/BPC ) are +1.45 V and ꢀ1.73 V
in acetoni-
2
trile with respect to SCE, respectively. e /re is the Coulombic
energy depending on the distance (r) between the separated
radical ions (r=12.3 ꢂ, estimated from the molecular simula-
[16]
tion) and the dielectric constant (e) of MTHF (e=6.97). The
last term in Equation (1) is the Born correction to the solvation
energy which depends on the radii of the donor cation (r+)
and the acceptor anion (r ). To estimate the Born correction to
ꢀ
the solvation energy, r+ and r are set equal to 2.5 ꢂ and
ꢀ
3.8 ꢂ, respectively, by assuming that both donor and acceptor
are spherical. Estimation from Equation (1) gives the free-
ꢀ1
energy change DG to be about 12.5 kcalmol , suggesting
that the electron transfer from the norbornadiene group to
the triplet state benzophenone chromophore would be very
inefficient if any did occur. On the other hand, benzophenone
Figure 4. Plot of the portion of shorter lifetime species (A ) vs (1ꢀA )
1
1
ꢀ
4
(CꢀC
0 1 0
A ) with linear fit. [BP–Am] (C )=1.0ꢀ10 m, [NBD–COOH] (C)=0,
ꢀ
5
ꢀ5
ꢀ5
ꢀ5
ꢀ4
1
.0ꢀ10 , 2.0ꢀ10 , 5.0ꢀ10 , 7.0ꢀ10 , 1.0ꢀ10 m.
ꢀ1
ꢀ1 [17]
(
E =69 kcalmol )–norbornadiene (E =53 kcalmol )
is a
T
T
typical triplet–triplet energy transfer pair with proper energy
levels. Therefore, the triplet–triplet energy transfer from the
triplet excited BP chromophore to the NBD group should be
responsible for the quenching of the BP phosphorescence in
the BP–(amidinium-carboxylate)–NBD system.
The efficiency (FET) and rate constant (kET) for the triplet–
triplet energy transfer from BP to NBD in the BP–(amidinium-
carboxylate)–NBD (1:1) salt bridge system can be calculated to
3
ꢀ1
be 0.87 and 1.8ꢀ10 s by using Equations (2) and (3), respec-
tively. Considering there is only 20% component forming the
salt bridge system in a mixture of BP–Am and NBD–COOH
with the ratio of 1:1, the observed energy transfer efficiency is
estimated to be 0.17 (0.87ꢀ0.20), which is compatible with the
steady-state phosphorescence quenching efficiency (14%). The
result of the time-resolved phosphorescence experiments vali-
dates the occurrence of the triplet–triplet energy transfer from
BP to NBD in BP–(amidinium-carboxylate)–NBD.
The time-resolved phosphorescence spectra are examined in
glassy 2-methyltetrahydrofuran at 77 K with the excitation at
362 nm. The phosphorescence decays of the donor compound
BP–Am and the donor model system BP–(amidinium-carboxy-
late)–Ph monitored at 453 nm are fitted to a mono-exponential
function, giving a lifetime of 3.9 ms. On the other hand, the
decay of 1:1 mixture of BP–Am and NBD–COOH at the same
condition can only be fitted double-exponentially with life-
times of 0.49 ms (A =20%) and 3.9 ms (A =80%). The longer
1
2
lifetime component with the same lifetime of BP–Am is as-
signed to the dissociative energy donor compound BP–Am,
and the shorter one is assigned to BP–Am associating with
NBD–COOH in the BP–(amidinium-carboxylate)–NBD system in
which the triplet–triplet energy transfer occurs. The phosphor-
FET ¼ 1ꢀt=t0
ð2Þ
ð3Þ
kET ¼ 1=tꢀ1=t0
ChemPhysChem 2010, 11, 229 – 235
ꢁ 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
231