N. Nanbu et al.
Bull. Chem. Soc. Jpn. Vol. 80, No. 7 (2007) 1303
TFDMC
DFDMC
7.2
6.8
6.4
6
TFDMC
DFDMC
1.4
1.2
1
MFDMC
DMC
MFDMC
DMC
ρ
(a)
(b)
5.6
0
20
40
60
80
0
20
40
60
80
θ
/ °C
θ
/ °C
Fig. 1. (a) ꢀ and (b) N of TFDMC, DFDMC, MFDMC, and DMC as a function of ꢄ from 10 to 70 ꢁC. N was calculated from ꢀ,
molar mass, and NA according to Eq. 1.
þ
COOCH2Fþ (4.33), 59 COOCH3 (84.25), 33 CH2Fþ (100);
ꢀNA
M
DFDMC, 77 COOCH2Fþ (15þ.74), 33 CH2Fþ (100); TFDMC,
N ¼
:
ð1Þ
33 CH2Fþ (46.27), 51 CHF2 (100), 77 COOCH2Fþ (7.05),
þ
95 COOCHF2 (3.52). 1H NMR (TMS/CDCl3, 500.00 MHz):
The ꢄ dependence of N has a pronounced contribution to
the change in physical constants, as described later. ꢀ decreas-
ed in the same order as the molecular weight: TFDMC
(144.05) > DFDMC (126.06) > MFDMC (108.07) > DMC
(90.08). However, N decreased in the inverse order. In general,
as the molecular weight increases, so too does the molecular
size. The increase in the molecular size results in the decrease
in N.
Optical and Electric Properties. The ꢄ dependence of
nD of the four chain carbonates is depicted in Fig. 2a. nD is
related to the propagation speed of light in a medium and is
a measure of the ability to bend (refract) light rays. The feature
of nD was similar to that of N. Successive fluorination of DMC
resulted in a lower N and, consequently, in lower nD. nD de-
pends on both electronic polarizability or dynamic polarizabil-
ity (ꢅe) of the molecules and N. This is because the propaga-
tion of light through a medium can be imagined to occur by the
incident light inducing an oscillating dipole moment, which
then radiates light of the same frequency.
2
MFDMC, ꢃ 4.23 (s, 3H), 6.08 (d, JHF ¼ 51:5 Hz, 2H); DFDMC,
2
2
ꢃ 6.04 (d, JHF ¼ 50 Hz, 2H); TFDMC, ꢃ 6.05 (d, JHF ¼ 49 Hz,
2H), 7.34 (t, JHF ¼ 71 Hz, 1H). 13C NMR (TMS/CDCl3, 125.65
2
1
MHz): MFDMC, ꢃ 55.10, 96.97 (d, JCF ¼ 219 Hz), 154.68;
1
DFDMC, ꢃ 97.28 (d, JCF ¼ 223 Hz), 152.97; TFDMC, ꢃ 97.17
1
1
3
(d, JCF ¼ 225 Hz), 114.13 (t, JCF ¼ 260 Hz), 149.90 (t, JCF
¼
5 Hz). 19F NMR (CF3COOD/D2O, 470.40 MHz): MFDMC, ꢃ
2
2
ꢃ158:05 (t, JFH ¼ 51:5 Hz, 1F); DFDMC, ꢃ ꢃ159:70 (t, JFH
¼
50 Hz, 1F); TFDMC, ꢃ ꢃ92:75 (d, 2JFH ¼ 71 Hz, 2F), ꢃ160:44 (t,
2JFH ¼ 49 Hz, 1F).
Apparatus and Measurements.
The temperature in a
TC-WAX capillary column for gas chromatography was increased
at a rate of 10 ꢁC minꢃ1 from 50 to 100 ꢁC.13 ꢀ was measured by
use of density/gravity meters (Kyoto Electronics, DA300 and
DA-310). nD was determined on an Abbe refractometer (model
2T) equipped with a jacket. Water supplied from a constant-tem-
perature bath was circulated through the jacket. "r was measured
by using a LF impedance analyzer (Hewlett Packard, 4192A) con-
nected to a thermostat (Ando Denki, TO-9). The electrostatic ca-
pacitance of air (C0) and sample (Csample) was measured at a
frequency of 1 MHz, and "r was approximated by the ratio
Csample=C0. The samples were deaerated by bubbling Ar gas
(99.9%) before the measurements. ꢂ was measured by using a
capillary-tube viscometer, Ostwald viscometer (Shibayama), im-
ꢅe is obtained by the following Lorentz–Lorenz equa-
tion:14–16
2
nD ꢃ 1
nD þ 2
M
NAꢅe
3"0
¼
;
ð2Þ
ꢄ ꢀ
2
mersed in a thermostat. ꢁ was determined as ꢂ ꢀ; ꢂ is defined
ꢄ
where "0 is permittivity of vacuum. The average of ꢅe at 10–
70 ꢁC decreased in the following order: TFDMC (8:593 ꢅ
as ꢁ=ꢀ and is directly proportional to the time required for the
liquid to flow through a capillary-tube viscometer under its
own hydrostatic head. The physical properties of TFDMC,
DFDMC, MFDMC, and DMC were investigated over the tempera-
ture range of 10 to 70 ꢁC.
10ꢃ40 C2 m2 Jꢃ1) > DFDMC
(8:426 ꢅ 10ꢃ40 C2 m2 Jꢃ1) >
DMC (8:346 ꢅ 10ꢃ40 C2 m2 Jꢃ1) > MFDMC (8:309 ꢅ 10ꢃ40
C2 m2 Jꢃ1). ꢅe can depend on the molecular mass and the fre-
quency of an applied electric field unlike the static polariza-
bility.15 Difluorination and trifluorination of DMC increased
ꢅe as compared to the DMC. Interestingly, despite the increase
of the molecular mass, monofluorination of the DMC caused a
slight decrease in ꢅe. It is well-known that nD of polyfluorinat-
ed and perfluorinated compounds, which may have a consider-
ably lower N, is lower than those of the corresponding fluo-
rine-free compounds.
Results and Discussion
Mechanical Properties.
Figure 1 shows the Celsius-
temperature (ꢄ) dependence of (a) ꢀ and (b) number density
of molecules (N) of TFDMC, DFDMC, MFDMC, and DMC.
N refers to the number of molecules per unit volume and is
calculated from ꢀ, molar mass (M), and Avogadro constant
(NA) according to the following equation:
Figure 2b shows the ꢄ dependence of "r of the four chain