Irangu and Jordan
drupolar coupling constants (1.1686).5 In the present study,
similar measurements on 0.062 M Cu(I) perchlorate and
triflate gave values of 443/380 ) 1.166, and 465/399 )
1.165, respectively. The extreme narrowing condition is
consistent with the observations of Ochsenbein and Schla¨pfer,1
Gill and co-workers,6 and the present study that T1 and T2
for Cu(I) in acetonitrile are essentially equal (see Table 1).
However, the temperature dependence above -5 °C is
anomalous because quadrupolar relaxation should show a
simple decrease in line width with increasing temperature
due to the shortening of the correlation time (τQ). It has been
suggested that this effect might be due to a coordination
change1 or to ion pairing2 in the higher temperature region.
In a series of studies, Gill and co-workers have examined
the 63Cu(I) line width at 25 °C as cosolvents are added to
AN. The lines inevitably broaden with the addition of another
solvent, and this is attributed primarily to the formation of
mixed complexes, but the temperature dependence was not
studied, and the anomaly was ignored. In 1995, Gill et al.7
suggested that the 63Cu(I) line widths are so large because
of the Sternheimer antishielding factor (γ∞) which has a value
of -17 and contributes a factor of (1 - γ∞) to the electric
field gradient. More recently, Gill, Byrne, and Quickenden8
used the Stokes-Einstein equation to calculate a correlation
time of ∼4.5 × 10-11 s, and a QCC ≈ 3.0 MHz for 0.064
M CuClO4 in AN. Most recently, Gill and co-workers9 have
calculated a correlation time of 1.39 × 10-11 s in AN and
used this to estimate that QCC ) 5.46 MHz.
concentration limit, all of the salts should give the same line
width. However, extrapolated values from the earlier studies
(Figure 2) on the BF4- and ClO4- salts are ∼470 and ∼490
Hz, respectively, while the present study gives much smaller
-
values of ∼415 and 420 Hz for the triflate and ClO4 ,
respectively. Second, below -5 °C where the temperature
dependence is that expected for quadrupolar relaxation, all
of the curves in Figure 1 should converge to that expected
for the Cu(NCCH3)4+ ion. This expectation does seem to be
realized in Figure 1 for the ∼0.1 M triflate, perchlorate
(present study), and tetrafluoroborate salts,1 and the other
deviations might be due to concentration differences.
Viscosity Effects. The Stokes-Einstein relationship sug-
gests that the correlation time τQ
η/T, where η is the
viscosity of the solvent, and many studies have shown that
viscosity increases with salt concentration.11 Then, the
simplest explanation for the concentration effects would be
that they are due to the increase in viscosity with salt
concentration which causes τQ and hence W1/2 to increase.
Gill and co-workers12 studied the viscosity of CuClO4 in
AN and found that the variation of viscosity with concentra-
tion of CuClO4 is given by η ) η0(1 + A[CuClO4]1/2
+
B[CuClO4]) with A ) 1.76 × 10-2 and B ) 0.77 at 25 °C.
The concentration dependence of the viscosity is similar to
that of tetra(n-propyl)ammonium bromide studied by Nikam
and Sawant13 and by Saha and Das,14 who also studied the
temperature dependence of the viscosity for n-Pr4NBr in AN.
The data for n-Pr4NBr suggest that the temperature depen-
dence of B (15-45 °C) can be represented by B ) 0.77(1 +
4.0 × 10-3(298 - T)) and A has no discernible temperature
dependence, possibly because it makes a small contribution
to the overall effect. The temperature dependence of the
viscosity of pure AN was determined between -40 and 20
°C by Kanes15 and is given by η0 ) 0.152 exp(924.7/T).
The concentration dependence for CuClO4 from Gill and co-
workers, and the temperature dependencies from Saha and
Das, and Kanes, can be combined to estimate the viscosity
of CuClO4 in AN, with the assumption that CuClO4 and
n-Pr4NBr have the same temperature dependence.
Of the results in Figure 2, the observations of Ochsenbein
-
and Schla¨pfer1 on the PF6 salt are clearly unique. The
concentration dependence is much more dramatic with an
overall change in line width of ∼400 Hz compared to ∼50
Hz for the other anions. The temperature dependence (not
shown) also is anomalous with a minimum at ∼10 °C versus
-5 °C for the others, and with a much larger line width in
the low-temperature limit. Caulton et al.10 have reported a
line width of 400 Hz for a “nearly saturated” solution of
Cu(NCCH3)4PF6 at 25 °C, compared to ∼850 Hz at 0.22 M
reported by Ochsenbein and Schla¨pfer. In the present study,
0.0613 M CuClO4 containing 0.050 M (Me4N)PF6 was found
to have a line width of 447 Hz, entirely consistent with other
samples at the same total salt concentration. These anomalies
suggest that the sample of Ochsenbein and Schla¨pfer was
contaminated in some way, and these results will not be
included in the further analysis.
It is noteworthy that both the line widths (Figure 2) and
the viscosity have an essentially linear dependence on
concentration. Since all of the concentration studies have
been done at 25 °C, it is convenient for purposes of
comparison to analyze the data in terms of the reduced
viscosity, η/η0, where η0 is the viscosity of the pure solvent
(3.41 mP (millipoise)) and η is the viscosity of the salt
solution. If W1/2 τQ and τQ η/T, then
If the Cu(I)/AN system is to be described by a two species
+
model, Cu(NCCH3)4 and either an ion pair or another
species of different coordination or symmetry, then there are
some simple expectations for these results. First, in the low
η0
Cv η
W
)
0 ) (W1/2)0,T
(3)
( )
1/2
η
T
(5) Raghavan, P. At. Data Nucl. Data Tables 1989, 42, 189.
(6) Gill, D. S.; Rodehu¨ser, L.; Delpuech, J.-J. J. Chem. Soc., Faraday
Trans. 1990, 86, 2847.
(7) Gill, D. S.; Rodehu¨ser, L.; Rubini, P.; Delpuech, J.-J. J. Chem. Soc.,
Faraday Trans. 1995, 91, 2307.
where Cv is a proportionality constant and (W1/2)0,T is the
line width in the pure solvent at temperature T. If viscosity
(8) Gill, D. S.; Byrne, L.; Quickenden, T. L. Z. Naturforsch. 1998, 53a,
1004.
(9) Gill, D. S.; Kamp, U.; Doelle, A.; Zeidler, M. D. Ind. J. Chem, 2001,
40A, 693.
(10) Geerts, R. L.; Huffman, J. C.; Folting, K.; Lemmen, T. H.; Caulton,
K. G. J. Am. Chem. Soc. 1983, 105, 3503.
(11) Jenkins, H. D. B.; Marcus, Y. Chem. ReV. 1995, 95, 2695.
(12) Gill, D. S.; Cheema, J. S. Z. Phys. Chemie (N. F.) 1983, 134, 205.
Gill, D. S.; Chauhan, J. S. Z. Phys. Chemie (N. F.) 1984, 140, 149.
(13) Nikam, P. S.; Sawant, A. B. J. Chem. Eng. Data 1997, 42, 1151.
(14) Saha, N.; Das, B. J. Chem. Eng. Data 2000, 45, 1125.
(15) Kanes, J. P. Diss. Abstr. 1967, 26, 1367.
3936 Inorganic Chemistry, Vol. 42, No. 12, 2003