W. Qin, W. Dehaen et al.
FULL PAPERS
Table 8. Estimated coefficients (y0, a, b, c, d; in cmꢁ1) and correlation coefficient (r) for the multiple linear re-
The large (negative) estimat-
ed cSP values compared to the
{aSA, bSB, dSdP} estimates in the
ꢀ
ꢀ
ꢀ
gression analysis of the absorption (nabs) and fluorescence emission maxima (nem), and the Stokes shift (Dn) of
1–3 as a function of the Catalꢆn {SA, SB, SP, SdP} solvent scales for the 20 solvents listed in Tables 2–4.
Compound
y0
aSA
bSB
cSP
dSdP
r
ꢀ
analysis of nabs of 1–3 according
ꢀ
1
nabs
20238ꢂ105
19631ꢂ86
606ꢂ114
ꢁ199ꢂ58
ꢁ19ꢂ47
ꢁ180ꢂ63
ꢁ177ꢂ67
ꢁ60ꢂ50
ꢁ117ꢂ72
ꢁ128ꢂ59
ꢁ12ꢂ59
ꢁ115ꢂ72
14ꢂ35
ꢁ1223ꢂ141
ꢁ1254ꢂ115
31ꢂ154
110ꢂ26
81ꢂ22
29ꢂ29
204ꢂ30
39ꢂ23
165ꢂ33
148ꢂ27
46ꢂ27
102ꢂ33
0.932
0.953
0.619
0.935
0.900
0.816
0.952
0.926
0.683
to Equation (2c) and the rela-
tively large standard errors on
aSA, bSB, and dSdP in comparison
to those on cSP (Table 8) indi-
cate that the small change of
ꢀ
nem
ꢁ36ꢂ29
50ꢂ38
20ꢂ40
ꢁ1ꢂ31
20ꢂ43
1ꢂ36
ꢀ
Dn
ꢀ
nabs
2
3
18928ꢂ121
18325ꢂ91
603ꢂ130
ꢁ1139ꢂ162
ꢁ904ꢂ122
ꢁ235ꢂ174
ꢁ1439ꢂ144
ꢁ1239ꢂ142
ꢁ200ꢂ174
ꢀ
nem
ꢀ
Dn
ꢀ
nabs
18129ꢂ107
17660ꢂ106
469ꢂ130
ꢀ
nabs may reflect principally a
ꢀ
nem
ꢁ28ꢂ36
28ꢂ43
minor change in polarizability
of the environment of the chro-
mophore. Indeed, the multi-
linear fit according to Equa-
ꢀ
Dn
Use of the Catalꢆn solvent parameter set {SA, SB, SP,
SdP} [Eq. (2c)], for which solvent (di)polarity and polariza-
tion (2c) in which solvent polarizability is disregarded (i.e.,
with {SA, SB, SdP} as independent variables) is very poor
(r=0.451 for 1, 0.677 for 2, and 0.525 for 3), signifying that
solvent polarizability is of the utmost importance. The anal-
yses according to Equation (2c) with three independent var-
iables including SP and SdP (namely {SA, SP, SdP}, {SB, SP,
SdP}) always gave good fits (0.874<r<0.952), implying that
the absorption maxima are hardly influenced by the acidity
and basicity of the medium. The analyses which disregarded
solvent dipolarity (i.e., Equation (2c) with {SA, SB, SP} as
independent variables) were somewhat less acceptable (r=
0.846 for 1, 0.706 for 2, 0.847 for 3). All these analyses
point to solvent polarizability as the major parameter deter-
mining the position of the absorption maxima. However, es-
pecially for 2, dipolarity of the medium cannot be disregard-
ꢀ
bility effects are split, gives excellent fits to nabs (0.932 for 1,
0.935 for 2, and 0.952 for 3). To visualize the goodness-of-fit
ꢀ
of nabs as a function of the Catalꢆn solvent parameters {SA,
ꢀ
SB, SP, SdP}, we plotted the nabs values calculated, according
to Equation (2c), by using the estimated values of y0, aSA
,
ꢀ
bSB, cSP, dSdP versus the corresponding experimental nabs
values for dyes 1–3 (Figures S5a, S6a, and S7a in the Sup-
ꢀ
porting Information). The analyses of the nabs data of 1–3 ac-
cording to Kamlet–Taft [Eq. (2b)] using the {a, b, p*} sol-
vent scales showed poor fits, as assessed by the values of r
(0.315 for 1, 0.486 for 2, 0.324 for 3) and the large standard
errors on the estimated {aa, bb, cp*} coefficients as quality-of-
fit criteria (Table S1 in the Supporting Information).
ꢀ
Excellent fits were found for the multilinear analyses of
ed. This is corroborated by the linear regression of nabs
ꢀ
the nem data of 1–3 according to Equation (2c) (r values
versus SP which is the most unsatisfactory for 2 (r=0.679
for 2 versus 0.803 for 1 and 0.839 for 3). Dyes 1 and 3 are
symmetric and it can be assumed that the nonsymmetric dye
2 will have a somewhat larger dipole than 1 and 3, which
were 0.953 for 1, 0.900 for 2, and 0.926 for 3). The plots of
nem were calculated, according to Equation (2c), by using
the estimated values of y0, aSA, bSB, cSP, dSdP versus the corre-
ꢀ
ꢀ
ꢀ
sponding experimental nem values of 1–3 are shown in Fig-
can explain the larger sensitivity of nabs of 2 to solvent dipo-
ure S5b, S6b, and S7b (Supporting Information). Contrary to
the superb results obtained by using the Catalꢆn solvent
larity.
The relatively large (negative) cSP estimates and the com-
paratively large standard errors on aSA, bSB, and dSdP in com-
parison to those on cSP (Table 8) point to solvent polarizabil-
ꢀ
scales, the nem data of 1–3 could not be described adequately
by the Kamlet–Taft {a, b, p*} solvent parameters [Eq. (2b)],
as judged by the low r values (0.317 for 1, 0.325 for 2, 0.369
for 3) and the large standard errors on the estimated {aa, bb,
cp*} coefficients (Table S1 in the Supporting Information).
It is remarkable that the small solvent-dependent shifts
ꢀ
ity as the major factor affecting nem of 1–3. The analyses of
ꢀ
nem according to Equation (2c) with {SA, SB, SP}, {SB, SP,
SdP}, and {SA, SP, SdP}, as independent variables, all gave
high-quality fits (for 1 r=0.908, 0.953, and 0.948, respective-
ly; for 2 r=0.879, 0.890, and 0.900, respectively; for 3 r=
0.911, 0.926, and 0.923, respectively). The common inde-
pendent variable in all these analyses is SP (solvent polariz-
(all nabs measured lie within n˜ =264 cmꢁ1 for 1, n˜ =299 cmꢁ1
ꢀ
for 2 and n˜ =354 cmꢁ1 for 3; all nem measured lie within n˜ =
ꢀ
317 cmꢁ1 for 1, n˜ =218 cmꢁ1 for 2, and n˜ =338 cmꢁ1 for 3)
can be described so accurately by the Catalꢆn solvent scales.
The advantage of this new, generalized treatment of the sol-
vent effect is that it allows one to split up the relative contri-
butions of dipolarity, polarizability, acidity, and basicity of
the medium. Hence, it is informative to determine which
solvent parameter is primarily responsible for the slight sol-
ꢀ
ability). Conversely, the analysis of nem according to Equa-
tion (2c), in which SP was disregarded, gave low r-values
(0.433 for 1, 0.399 for 2, 0.367 for 3). Therefore, solvent po-
larizability is the most crucial solvent property influencing
ꢀ
ꢀ
nem. Additional evidence that the position of nem is con-
trolled largely by solvent polarizability comes from the
ꢀ
ꢀ
ꢀ
vatochromic shifts of nabs and nem of 1–3. It must be noted
that in the Kamlet–Taft approach, the solvent scale p* com-
bines solvent (di)polarity and polarizability effects, and
hence, this methodology can never be used to disentangle
solvent polarizability and (di)polarity effects.
linear regressions of nem versus SP (r=0.907 for 1, 0.872 for
2, 0.909 for 3). In these linear regressions, the lowest r
values are found for 2, implying that solvent polarizability
alone does not determine the position of nem. The fact that
ꢀ
ꢀ
solvent polarizability is the principal factor affecting nabs and
2024
ꢁ 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Asian J. 2010, 5, 2016 – 2026