13496 J. Phys. Chem., Vol. 100, No. 32, 1996
Reis-Nunes et al.
out that for the two compounds for which correlation between
the ester dipoles is more important, dimethyl succinate and DEG,
good agreement between theoretical and experimental results
is also found for EσR e 0.4 This conclusion is corroborated by
the analysis of the temperature coefficient for the unperturbed
dimensions of aliphatic polyesters, such as poly(neopentyl glycol
succinate)10 and poly(neopentyl glycol adipate),8 whose dimen-
sions are extremely sensitive to the gauche population about
CR-C* bonds. From thermoelastic experiments carried out on
poly(neopentyl glycol succinate), one finds that 103 ln r2 0/dT
) 0.52 ( 0.24 K-1. Studies performed on the evolution of
this magnitude with EσR, keeping Eσâ ) 0.7 kcal mol-1, show
that d ln r2 /dT is negative and nearly independent of EσR for
values of this energy lying in the range 1-0.5 kcal mol-1
;
however, the temperature coefficient undergoes a sharp increase
as EσR diminishes in the interval 0.5-0 kcal mol-1, the
theoretical results becoming close to the experimental ones for
values of EσR e 0.10 Theoretical calculations10 also performed
on the polarity of this polymer show that its experimental dipolar
correlation coefficient is reproduced better by assuming that EσR
e 0. Similar results are found in the analysis of the temperature
coefficients of the unperturbed dimensions of poly(neopentyl
glycol adipate)8 and other polyesters prepared by condensation
of both adipic and sebacic acids with 2,2-bis[4-(2-hydroxy-
ethoxy)phenyl]propane.9
Figure 7. Influence of the conformational energies of gauche states
about CR-Câ bonds on the temperature dependence of the mean-square
dipole moment of hexafluoroglutarate (DEFG).
Discussion
Summing up, the evidence at hand arising from the theoretical
analysis of both the dipole moments of aliphatic diesters and
the temperature coefficient of the unperturbed dimensions of
aliphatic polyesters seems to suggest that EσR < 0 and Eσâ >
0 for the DEG and DEFG compounds. The difference in
polarity observed in both compounds arises from the differences
in orientation of the dipoles associated with the diesters in the
fluorinated compound caused by inductive effects of the fluorine
atoms. These conclusions are important to predict the confor-
mational properties of polyesters containing fluorine atoms in
the acid residue of the repeating unit.
The calculations described above suggest that the gauche
population about C-C* bonds in diethyl glutarate is preferred
by ca. 500-1000 cal mol-1 over the alternative trans population.
To assume EσR ) 1.0 kcal mol-1, as has been suggested by
some authors,2-4 would give µ2 ) 7.11 D2 for Eσâ ) 0.7 kcal
mol-1; this quantity would reduce to 6.25 D2 for Eσâ ) 0.3
kcal mol-1. Moreover, the calculations indicate that the dipole
moment of DEG undergoes a significant decrease with increas-
ing temperature, in contrast with the experimental results which
suggest that the temperature coefficient is clearly positive.
Therefore, in order to each agreement between the theoretical
and experimental results of both µ2 and d ln µ2 /dT, it is
necessary to postulate that EσR e 0.
As first noted, DEFG exhibits a mean-square dipole moment
whose value at 30 °C is almost 2 times larger than that of its
hydrogenated homologous compound, DEG. In the study of
the evolution of the mean-square dipole moment with the
conformational energies, it was observed that DEG in the all-
trans conformation exhibits the maximum polarity due to the
fact that the dipoles of the ester groups are in nearly parallel
direction, whereas the opposite occurs in DEFG as a conse-
quence of the almost antiparallel direction of the dipole in this
conformation. Therefore, the changes in polarity with the
gauche population about the skeletal bonds of the acid residue
follow opposite trends in both polymers. Thus, the dipole
moment diminishes as the gauche population increases in DEG,
whereas the polarity of DEFG increases as such a population
increases. However, the fact that agreement between theoretical
and experimental results of µ2 is found for the same values of
the conformational energies seems to suggest that differences
in the modulus and orientation of the dipoles in both compounds,
rather than differences in conformational characteristics, are
responsible for the much higher polarity of DEFG. The
differences observed in the orientations of the dipole moments
also explain the much lower temperature coefficient of the dipole
moment of DEFG in comparison with that of DEG.
Acknowledgment. This work was supported by the DGI-
CYT through Grant PB92-0773. R. C. Reis-Nunes and N. A.
Chavez are indebted, respectively, to CAPES (Brazil) and the
Consejo Nacional de Investigaciones de Venezuela for their
support through grants.
References and Notes
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Neither this study nor others based on the critical interpreta-
tion of the dipole moments of dialkyl esters3,4 permits us to
conclude that gauche states about C-C* bonds have higher
energies than the alternative trans states. It should be pointed
(14) Am. Chem. Soc., Polym. DiV. Polymer. Prep. 1990, 31 (1), (see
for example) 307, 318, 314, 320.
(15) Guggenheim, E. A. Trans. Faraday Soc. 1949, 45, 714.