Table 1 Parameter values derived from the best Ðts and results of
molecular modeling
single electron in p orbital of C3 can undergo stabilization
through delocalization with the neighbouring phenyl rings. In
z
order to achieve this special stabilization, the phenyl groups
FLO
229
XTO
222
APO
È
BPO
È
and p orbital of C3 have to rearrange, thus leading to more
z
planar geometry, with an accompanying increase in reorgani-
Sandros
zation energy. In this framework, the NOH reorganization
leads to the same energy, and the di†erence in *Gj(0) for the
oximes can arise from Ñattening of the carbon skeleton. For
example, it can be seen that the p system in the triplet state is
generally more planar than in the ground state (b in Table 1).
Then, the energy involved in the simple rearrangement of the
carbon skeleton will strongly depend on the oxime studied,
and can be expected to increase with increasing b. This e†ect
is quantitatively in agreement with the change of *Gj(0): the
planar system of FLO and to a lesser extent XTO do not
undergo extensive rearrangement during the reaction, thus
leading to a low value of *Gj(0). On the contrary, APO and
BPO can undergo large reorganization, thus leading to high
values of *Gj(0). Unfortunately, due to the large number of
atoms, accurate semi-empirical calculations in the triplet state
are difficult.
EO/kJ mol~1
T
AgmonÈLevine
EO/kJ mol~1
221
2.0
5.5
216
1.0
6.6
240
1.2
14.8
227
1.3
17.3
T
k0 /1010 M~1 s~1
en
*Gj(0)/kJ mol~1
E
/kJ mol~1
tor
0.67
1.34
3.14
4.83
S
0
b/¡
a/¡
0
180
19.8
179
42
180
49.9
179.4
T
1
b/¡
a/¡
6.4
93.8
8.1
92.8
11.7
91.5
21.1
95.5
Recently, a more reÐned concept has been proposed,7 that
reduces the energy gap between ground and excited state:
thermal activation of torsion modes in the ground state allows
the molecule to adopt a more planar geometry, decreasing the
energetic gap between spectroscopic and relaxed triplet state.
Therefore, the energetic parameter governing the Ñexibility is
fer reaction, related to the adiabaticity of the reaction. *Gj is
given by:
*Gj(0) A A *G ln 2BB
*Gj \ *G ]
ln 1 ] exp [
(2)
ln 2
*Gj(0)
where *Gj(0) is the reorganizational intrinsic barrier related
to the changes in nuclear position. Fig. 1 shows that eqn. (1)
Ðts fairly well the experimental results for APO and BPO,
thus leading to the determination of EO , k0 and *Gj(0) for
related to a torsional energy (E ). The latter represents the
tor
ground state energy di†erence between the relaxed geometry
and the p system with b corresponding to the triplet state
geometry. It can be seen from Fig. 2 that the same trend exists
T
en
each oxime investigated (Table 1). Beyond the variation of EO ,
between *Gj(0) and the calculated E , a fact supporting the
T
tor
obviously depending on the orbital involved, the *Gj(0)
torsional mechanism.
values were found to vary strongly. Indeed, the results gath-
ered in Table 1 show that *Gj(0) is 5.5 kJ mol~1 for FLO
and increases up to 17.3 kJ mol~1 for BPO.
From both these viewpoints, it is clear that the Ñexibility of
the oxime structure strongly inÑuences the behaviour of the
energy transfer process. Although the present semi-empirical
calculations underline the role of the single bond torsion
modes of the ground state on the non-vertical character of the
reaction, it is not possible to estimate its inÑuence with respect
to the whole molecular reorganization. However, in this study
the role of the molecular structure was clearly evidenced and a
Therefore, the *Gj(0) value was taken as a relative measure
of the non-vertical character.6 To gain additonal insight into
NVET, the geometry changes accompanying the passage from
S
to T were analyzed by molecular calculation using AM1
0
1
hamiltonian13 (with the RHF and UHF approximation for
the ground and the excited state respectively). The results are
compiled in Table 1. The general behaviour found for oximes
is similar to that of oleÐns: the transition leads to a more
planar geometry of the p system in the triplet state. The latter
case is characterized by a lower value of the dihedral angle
b(C1C2C3N4) and a twist a(C2C3N4O5) of about 90¡ of the
OH group giving a biradical character to the excited state.14
At Ðrst sight, one would say this rotation of the NÈOH
group in the triplet state should require the same reorganiza-
tion energy for all the oximes studied, knowing that solvent
reorganization can be left out15 and that there is no bridge
nor steric hindrance for the compounds used. Experimental
*Gj(0) values show, however, that this crude approach is not
comprehensive. Indeed, in the spectroscopic triplet state, the
possible speciÐc stabilization of the single electron in the p
carbon orbital by the nearby phenyl rings is suggested. These
z
results provide a semi-quantitative picture of how the molecu-
lar structure a†ects the energy transfer. In a further study, a
purposely synthesized set of acetophenone oxime derivatives
will be studied through energy transfer experiments and high
level ab initio calculations.
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2
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Fig. 2 Plot of *Gj(0) vs. the torsion energy E required by the
tor
ground state p-system to reach triplet state geometry.
2722
Phys. Chem. Chem. Phys., 2001, 3, 2721È2722