A.G. Bossolasco et al. / Chemical Physics 441 (2014) 11–16
13
sp2 [8,11,14]. The calculated value of this parameter is 104.7° for
C4F9OONO2 and it is in perfect agreement with this tendency. The
OAN distance is extremely long in peroxynitrates and it has been
observed that it depends on the electronegativity of the group
attached to the –ONO2 fragment. Reported values of 1.507 and
1.523 Å are found for FONO2 and CF3OONO2 respectively [14,24].
In the case of C4F9OONO2 a value of 1.561 Å is found, which is
almost the same as for C3F7OONO2 within the calculated uncer-
tainty, and larger than the experimental value for CF3OONO2. A sep-
arate DFT calculation for CF3OONO2, C2F5OONO2 and C3F7OONO2
with the same basis set gives 1.560 Å for the OAN distance, showing
that addition of CF2 groups to the carbon chain does not influence
the OAN distance at the B3LYP/6-311+G⁄ method level. It can also
be mentioned that this method overestimates the OAN distance
when it is compared with the experimental value for CF3OONO2
(1.523 Å). Unfortunately there are not experimental studies for
the evaluation of the geometries of the series CxF2x+1OONO2 with
x = 2–4 and therefore these studies would have a lot of worth.
photochemical rupture of the precursor
(r254 nm = (3.86 0.07)
ꢀ 10ꢁ19 cm2 moleculeꢁ1) [23], or recombine to give CF3CF2CF2 CF2OÅ
radicals, which in turn decompose as in reaction (5)
CF3CF2CF2CF2OÅ ! CF3CF2CFÅ þ CF2O
ð5Þ
2
The CF3CF2CFÅ radicals lead finally to the formation of CF3CF2
2
CF2OONO2 following the established sequence of reactions with
O2 and NO2. The complete mechanism reaction is presented in
Fig. 2.
4.2. DFT calculations
The conformational space of CF3CF2CF2CF2OONO2 has been
studied taking into account the six main dihedral angles of the
skeleton FACF2ACF2ACF2ACF2AOAOANAO, which can be reduced
to four according to what follows. Previous studies for similar per-
oxynitrates [11,14] have shown that
u1(FACF2ACF2ACF2) always
adopts the anti configuration and
u
6(OAOANAO) the syn one.
The four remaining dihedrals are:
u2(CF2ACF2ACF2ACF2) which
u3(F2CACF2ACF2AO) which
4.3. IR and UV spectroscopy
is the carbon skeleton configuration;
sets the relative position of the C3F7 fragment respect to the peroxy
bond; 4(CF2ACF2AOAO) and u5 (CF2AOAOAN).
Four different minima are found in the PES being the one with
2 = 165°; 3 = 54°; 4 = 180° and 5 = 104°, the global minimum.
Fig. 4 shows the experimental (a) and calculated (b) infrared
spectra of C4F9OONO2. The infrared bands (in units of cmꢁ1), the
u
corresponding absorbance cross sections
(
r
ꢀ 1018 cm2 mole-
u
u
u
u
culeꢁ1, base e), and their assignment for the main peaks are:
1764 (3.51 0.07) mas (NO2), 1307 (1.63 0.04) ms (NO2), 1250
(3.36 0.07) mas (CF3), 1145 (1.76 0.04) mas (CꢁF), 894
These four minima are designated from 1 to 4 in ascending order of
their relative energy, as is shown in Table 1. Fig. 3 depicts the most
stable rotamer along with the numbering of atoms. A qualitative
inspection of the PES shows that inter-conversion between the
(0.72 0.03) ms (OꢁO), 789 (1.25 0.03) dNO2
. These are in
minima could involve trajectories needing less than 4 kcal molꢁ1
,
agreement with the general trend shown by many perfluoro alkyl
peroxynitrates (CxF2x+1OONO2, x = 1, 2, 3) [11,13,16], that show
rather narrow spans for the different IR bands as can be seen for
mas –NO2 (1764–1762 cmꢁ1), mas –CF3 (1244–1250 cmꢁ1), and dNO2
(789–792 cmꢁ1). A comparison between the experimental and
theoretical spectra shows a remarkable agreement, both in the rel-
ative intensities as well as in the position of the main peaks. Notice
that all the experimental bands have their calculated counterpart,
thus corroborating the identity of the new peroxynitrate.
As stated before, four different rotamers should be in equilib-
rium in a gas phase sample of CF3CF2CF2CF2OONO2 at room
temperature, according to the DFT calculation. Because of this,
the theoretical spectrum shown in the bottom of Fig. 4 was the
result of the linear combination of the theoretical spectrum of each
rotamer multiplied by the corresponding population. Every vibra-
tional transition was modeled with a Lorentzian function with
4 cmꢁ1 of FWHH. The comparison between the experimental and
theoretical spectra shows an excellent correlation for the featured
peaks.
and that the relative energies are less than 1.8 kcal molꢁ1 relative
to 1. Table 1 shows the B3LYP/6-311+G⁄ absolute and relative
energies together with the room temperature populations for the
rotamers along with their corresponding partition functions. Rela-
tive populations were calculated according to the formula
N1=Nx ¼ Q1=Qx ꢃ expðꢁ
D
E=kTÞ
ð6Þ
where Qx is the total partition function, taken from G09, of rotamer
x. The Qx values are calculated within the rigid-rotor/harmonic-
oscillator model and the contribution of internal rotational modes
are neglected. It is noteworthy that the calculation anticipates a
blend of the four rotamers at room temperature. This will be con-
firmed when analyzing the IR spectrum. Table 2 shows the geomet-
rical parameters for rotamer 1 together with values for C3F7OONO2
[11] calculated at the same level as well as the experimental GED
results of CF3OONO2 [14]. The CAOAOAN dihedral and the OAN
distance are the two most interesting parameters in peroxynitrates.
There is strong experimental evidence showing that the dihedral
XAOAOAY decreases from ꢂ120° when X and Y are sp3 hybridized
atoms to ꢂ105° when one is sp3 one sp2 and to ꢂ90° when both are
Table 3 shows the UV absorption cross sections determined in
our work for CF3CF2CF2CF2OONO2 from 200 to 282 nm, and their
comparison with data obtained from literature [11,15] for perflu-
oro alkyl peroxynitrates of shorter carbon chains, CxF2x+1OONO2
(x = 1, 3). The absorption cross sections were the average of five
spectra from samples ranging from 1.0 to 3.2 mbar that contained
the unavoidable small quantities of NO2, whose absorbances were
conveniently subtracted using the absorption cross sections rec-
ommended in Sander et al. [25].
hν
.
CF3CF2CF2CF2I
CF3CF2CF2CF2 + I
O2
NO2
.
CF3CF2CF2CF2OO
CF3CF2CF2CF2OONO2
.
RO2
I, NO
CF3CF2CF2CF2O
.
The comparison of the cross sections for the peroxynitrates cor-
roborates the general trend that shows a consistent decrease as the
length of the carbonated chain increases, probably as
consequence of the increment of the number of CF2 groups and
the concomitant increase in their withdrawing capacity.
a
.
CF3CF2CF2 + CF2O
O2
NO2
.
CF3CF2CF2OO
CF3CF2CF2OONO2
4.4. Thermal stability
Fig. 2. Reaction mechanism for the photolysis of CF3CF2CF2CF2I in the presence of
NO2 and O2. Products formed are marked in bold, and the new peroxynitrate formed
is highlighted.
The thermal stability of CF3CF2CF2CF2OONO2 was studied at dif-
ferent temperatures and total pressures, always in the presence of