244 Inorganic Chemistry, Vol. 37, No. 2, 1998
Murphy et al.
Table 5. Sums of (a) the In-Plane Bond Angles and (b) the
In-Plane Bond Distances for the [Cu(phen)2Br][Y] Complexes
increase from 2.086(4) to 2.217(3) Å. This plot provides a
qualitative indication of the range of the observed stereochem-
istries of the [Cu(phen)2Br][Y] complexes. There is one data
point, 6, at near RTB, with τ ) 0.95. Four data points have τ
values ranging from 0.87 to 0.72, with stereochemistries best
described as SBPDTB. Data point 5 has an exceptionally low
τ value of 0.22 at near RSBP. There are no data points lying
on the RTB f RSBP pathway. Three data points, 2-4, lie on
a parallel correlation, with the remaining three data points, 1,
5, and 6 lying nearby. Figure 4b: The data points show the R3
values decreasing from 124.3(1) to 96.8(1)° as the R1 values
increase from 119.8(1) to 157.2(1)°. All six data points have
R1 values > 119.8°, but with R3 values > 120°, for 6, 2, and 4,
and <120°, for 1, 3, and 5. The sum of the in-plane angles
gives a constant value, R1 + R2 + R3 ) 360°, Table 5. The
(A and (B axes are superimposed on the graph. The data
points lie in three different sections. Data point 6 is very close
to RTB, but it lies slightly along the +A pathway. Three data
points, 1, 3, and 5, are found in the -A + B section of the
graph. The remaining two data points, 2 and 4, are present in
the +A + B section. There are no data points lying on the
RTB f RSBP (-A + B) pathway. Three data points, 1, 3,
and 6, show an inVerse trend through the RTB data point. Each
of these data points have R2 values of 120 ( 1°. The remaining
three data points, 2, 4, and 5, lie on two possible parallel
correlations displaying R2 values of 110 and 105°, respectively.
This series of three possible parallel correlations have the same
slopes. The data points show a SBP distortion, but only with
an R2 value of 105° can the correlation end up at RSBP. For
each parallel correlation, the R2 values remain essentially
constant; therefore ∆R1v ≈ ∆R3V, as R1 + R2 + R3 ) 360°.
Table 6 shows the % (A and % +B distortion values of the
six [Cu(phen)2Br][Y] complexes calculated using the in-plane
R3 and R1 angle data. Figure 4c: The six data points show the
R3 angles decreasing from 124.3(1) to 96.8(1)°, ∆ ) 27.5°, as
the Cu-Br* distances decrease from 2.313(1) to 2.258(1) Å,
∆ ) 0.115 Å. All six data points lie on a normal linear
correlation, which is the best linear trend observed to date
(correlation coefficient ) 0.999), for the [Cu(chelate)2X][Y]
complexes.1-3 If the suggested extreme (A data points are
superimposed on the graph, the graph can be divided into two
sections, +A, where R3 > 120° and Cu-Br* > 2.354 Å, and
-A, where R3 < 120° and Cu-Br* < 2.354 Å. However, the
+A extension, data points, 2, 4, and 6, from RTB is only small,
∆R3 ) 4.3°, relative to the -A extension, data points, 1, 3, and
5, where ∆R3 ) 23.2°. Consequently the [Cu(phen)2Br][Y]
complexes involve a predominantly -A route distortion. Figure
4d: The data points show the Cu-Br* distances decreasing from
2.373(1) to 2.258(1) Å, while the Cu-N(2) distances decrease
from 2.095(4) to 2.055(3) Å. Three data points, 2, 4, and 6,
have Cu-Br* values slightly > 2.354 Å, with three data points,
1, 3, and 5, having Cu-Br* values significantly < 2.354 Å.
Data point 2 has a Cu-N(2) value slightly > 2.092 Å, with the
remaining five data points having Cu-N(2) values < 2.092 Å,
to give an overall normal trend, but with a suggestion of some
inVerse correlations. The (A and (B axes can be superimposed
on the plot. Two data points, 6 and 4, lie on the RTB f +A
pathway. Data point 2 is present in the +A - B section of the
graph. Three data points, 1, 3, and 5, are found in the -A +
B section of the graph. Data point 5 lies on the RTB f RSBP
(-A + B) pathway.
6
1
2
3
4
5
R1/deg
119.8
119.8
120.6
360.2
126.5
120.1
113.5
360.1
125.7
110.0
124.3
360.0
129.8
120.9
109.3
360.0
133.4
105.1
121.5
360.0
157.2
105.9
96.8
R2/deg
R3/deg
(a) sum/deg
359.9
Cu-N(2)/Å
Cu-N(4)/Å
Cu-Br/Å
2.091
2.091
2.496
6.678
2.072
2.086
2.471
6.629
2.095
2.101
2.513
6.709
2.085
2.108
2.452
6.645
2.088
2.126
2.504
6.718
2.055
2.217
2.398
6.670
(b) sum/Å
Figure 1 illustrates the eight general stereochemistries arising
from the (A and (B senses of distortion of the RTB CuN4Br
chromophore.2 The values of the bond distances and angles in
Figure 1 are experimental values (rounded off to the nearest
0.05 Å) obtained from the [Cu(chelate)2X][Y] complexes.2 The
+A and +A ( B route distortions yield stereochemistries
distorted toward SBP, with the axial elongation along the Cu-
Br direction. The -A, +B, and -A ( B route distortions also
yield SBP distorted stereochemistries, with the axial elongation
along the Cu-N(4) or the Cu-N(2) directions. Complex 66 is
the only complex with a 2-fold axis of symmetry, and with R3
> 120° (120.6°) and Cu-Br > 2.494 Å (2.496 Å), it shows a
slight +A route distortion. The remaining five complexes do
not have a 2-fold axis of symmetry, suggesting that the routes
operate in combination, (A ( B. In order to compare the Cu-
Br distances with the Cu-N(1-4) distances, they are corrected
for the difference in the Br and N atom covalent radii, namely,
0.43 Å. If the Cu-Br distances are adjusted to Cu-N values,22
using the relation Cu-Br - 0.43 Å ) Cu-N(Br), Table 2, it
can be seen that the greatest elongation of the equatorial
distances is in the Cu-N(4) direction, indicating a +B route
distortion. Simultaneously, the R3 values decrease <120°, and
the Cu-Br distances also decrease, indicating a -A route
distortion. This suggests that +A, -A + B, and +A + B route
distortions operate for the [Cu(phen)2Br][Y] series of complexes;
however, the +A route distortion is only small.
The suggested limiting values3,21 for the (A, +B, and (A
+ B route distortions are illustrated in Table 4. The angle Versus
angle plots and the distance Versus distance plots can be divided
up to represent (A, (B axes and (A ( B sections, Figure
4a-d. The limiting values for the -B, -A - B, and +A - B
route distortions are equivalent to those for +B, -A + B, and
+A + B, respectively, since each pair ((B, -A ( B, and +A
( B) are related by a 2-fold axis of symmetry.
Scatter Plot Analysis of the [Cu(phen)2Br][Y] Complexes.
The data of the [Cu(phen)2Br][Y] complexes, Table 2, are
presented in this section using scatter plot analysis. Each plot
includes not only the [Cu(phen)2Br][Y] data points but also the
[Cu(phen)2Cl][Y] and [Cu(phen)2I][Y] data points, Tables 2 and
3, for later comparison, with the Cu-Br and Cu-I distances
corrected, by the difference in their covalent radii, to the
corresponding Cu-Cl distance.22 The scatter plots to be
discussed, using the in-plane bond lengths and angles, are as
follows: (a) τ Versus Cu-N(4), (b) R3 Versus R1, (c) R3 Versus
Cu-Br*, and (d) Cu-Br* Versus Cu-N(2). Figure 4a provides
an overview of the range of stereochemistries defined by the τ
value. Since this parameter involves two simultaneous angle
changes, R1 and R8, it will not be used further. The six data
points vary from near RTB to near RSBP (-A + B), with the
τ values decreasing from 0.95 to 0.22 as the Cu-N(4) distances
[Cu(phen)2X][Y] Complexes, X ) Cl- and I-. The eight
[Cu(phen)2Cl][Y] complexes 10-17,3,23-26 Table 3, have been
discussed elsewhere.3 When these data points are added to the
(22) Muller, E.; Piguet, C.; Bernardelli, G.; Williams, A. F. Inorg. Chem.
1988, 27, 849.