|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
CHBrClF |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Chlorine
and Bromine |
|
|
|
Nuclear
Quadrupole Coupling Constants |
|
|
in
Bromochlorofluoromethane
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The complete nqcc
tensors for chlorine and bromine in bromochlorofluoromethane have been
determined by Bauder et al. [1]. Calculation was made here of
the 35Cl
and 79Br nqcc tensors in CH79Br35ClF
on the molecular structure given by MP2/aug-cc-pVTZ, and on this same
structure but with CH, CCl, and CBr bond lengths corrected as discussed
below. Calculated and experimental nqcc tensors are compared in
Tables 1 and 4. Eigenvalues and eigenvectors of the tensors are
shown in Tables 2,3,5, and 6. Structure parameters are given in
Table 7, atomic coordinates in Table 8, and rotational constants in
Table 9. |
|
|
|
|
|
|
|
|
|
|
|
|
In Tables 1 and 4,
subscripts a,b,c refer to the
principal axes of the inertia tensor; x,y,z to the principal axes
of the nqcc tensor.
(The algebraic signs of the off-diagonal elements of the inertia axes
nqcc's are consistent with the atomic coordinates given in Table 8.)
Ø (degrees) is the angle between its subscripted
parameters. ETA = (Xxx - Xyy)/Xzz. |
|
|
|
|
|
|
|
|
|
|
|
|
RMS is the root mean square
difference between calculated and experimental diagonal nqcc's
(percentage of the average of the magnitudes of the experimental
nqcc's). RSD is the calibration residual standard deviation of
the model for calculation of the chlorine nqcc's. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 1. 35Cl
nqcc's in CH79BrClF
(MHz). Calculation was made (1) on the
MP2/aug-cc-pVTZ optimized structure, and (2) on this same
structure but with corrected CCl, CF, and CH bond lengths. |
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. (1)
|
|
Calc. (2) |
|
Expt. [1] |
|
|
|
|
|
|
|
|
|
|
|
Xaa |
- |
21.26 |
- |
21.10 |
- |
20.5952(73) |
|
Xbb |
|
- 8.36 |
|
- 8.37 |
|
- 8.5459(46) |
|
Xcc |
|
29.62 |
|
29.47 |
|
29.1411(43) |
|
Xab |
- |
51.86 |
- |
51.65 |
- |
51.27(16) |
|
|
Xac |
|
23.57 |
|
23.50 |
|
23.86(28) |
|
|
Xbc |
|
19.32 |
|
19.31 |
|
19.36(37) |
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.48 (2.5 %) |
0.36 (1.9 %) |
|
|
|
RSD |
|
0.49 (1.1 %) |
|
0.49 (1.1 %) |
|
|
|
|
|
|
|
|
|
|
|
|
|
Xxx |
|
39.12 |
|
38.95 |
|
39.06 |
|
|
Xyy |
|
36.75 |
|
36.62 |
|
36.17 |
|
|
Xzz |
- |
75.87 |
- |
75.57 |
- |
75.22 |
|
|
ETA |
- |
0.0311 |
- |
0.0308 |
- |
0.0384 |
|
|
Øz,CCl |
|
1.40 |
|
1.45 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 2. 35Cl in CH79BrClF.
Eigenvalues; Xii, i=x,y,z (MHz) and eigenvectors
(direction cosines) of the nqcc tensor.
MP2/aug-cc-pVTZ optimized structure. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
i = |
|
x |
|
y |
|
z |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Xii |
|
39.12 |
|
36.75 |
- |
75.87 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a |
|
0.5345 |
- |
0.4396 |
|
0.7219 |
|
|
|
|
b |
- |
0.2561 |
|
0.7297 |
|
0.6340 |
|
|
|
|
c |
|
0.8054 |
|
0.5238 |
- |
0.2774 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 3. 35Cl in CH79BrClF.
Eigenvalues; Xii,
i=x,y,z (MHz) and eigenvectors (direction cosines) of the nqcc tensor.
MP2/aug-cc-pVTZ optimized structure with corrected CCl,
CF, and CH bond lengths. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
i = |
|
x |
|
y |
|
z |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Xii |
|
38.95 |
|
36.62 |
- |
75.57 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a |
|
0.5325 |
- |
0.4428 |
|
0.7214 |
|
|
|
|
b |
- |
0.2514 |
|
0.7310 |
|
0.6343 |
|
|
|
|
c |
|
0.8082 |
|
0.5191 |
- |
0.2780 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 4. 79Br
nqcc's in CHBr35ClF
(MHz). Calculation was made (1) on the
MP2/aug-cc-pVTZ optimized structure, and (2) on this same
structure but with corrected CCl, CF, and CH bond lengths. |
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. (1)
|
|
Calc. (2) |
|
Expt. [1] |
|
|
|
|
|
|
|
|
|
|
|
Xaa |
|
457.19 |
|
456.80 |
|
456.0650(57) |
|
Xbb |
- |
211.27 |
- |
211.67 |
- |
212.1230(41) |
|
Xcc |
- |
245.92 |
- |
245.13 |
- |
243.9420(34) |
|
Xab |
- |
250.76 |
- |
249.43 |
- |
249.301(64) |
|
|
Xac |
|
196.25 |
|
196.19 |
|
199.66(12) |
|
|
Xbc |
|
- 58.05 |
|
- 57.71 |
|
- 59.14(25) |
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
1.40 (0.46 %) |
0.85 (0.28 %) |
|
|
|
RSD |
|
1.58 (0.39 %) |
|
1.58 (0.39 %) |
|
|
|
|
|
|
|
|
|
|
|
|
|
Xxx |
- |
302.22 |
- |
301.68 |
- |
301.96 |
|
|
Xyy |
- |
288.58 |
- |
287.98 |
- |
288.77 |
|
|
Xzz |
|
590.80 |
|
589.65 |
|
590.73 |
|
|
ETA |
- |
0.0231 |
- |
0.0232 |
- |
0.0223 |
|
|
Øz,CCl |
|
1.01 |
|
1.00 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 5. 79Br
in CHBr35ClF.
Eigenvalues; Xii, i=x,y,z (MHz) and eigenvectors
(direction cosines) of the nqcc tensor.
MP2/aug-cc-pVTZ optimized structure. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
i = |
|
x |
|
y |
|
z |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Xii |
- |
302.22 |
- |
288.58 |
|
590.80
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a |
- |
0.3791 |
|
0.0776 |
|
0.9221
|
|
|
|
|
b |
- |
0.5901 |
|
0.7473 |
- |
0.3055
|
|
|
|
|
c |
|
0.7128 |
|
0.6600 |
|
0.2375 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 6. 79Br
in CHBr35ClF.
Eigenvalues; Xii,
i=x,y,z (MHz) and eigenvectors (direction cosines) of the nqcc tensor.
MP2/aug-cc-pVTZ optimized structure with
corrected CCl, CF, and CH bond lengths. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
i = |
|
x |
|
y |
|
z |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Xii |
- |
301.68 |
- |
287.98 |
|
589.65 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a |
- |
0.3795 |
|
0.0714 |
|
0.9224 |
|
|
|
|
b |
- |
0.6002 |
|
0.7397 |
- |
0.3042 |
|
|
|
|
c |
|
0.7040 |
|
0.6691 |
|
0.2378 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Molecular
Structure
|
|
|
|
|
|
|
|
|
|
|
|
|
Calculation was made (1) on the
MP2/aug-cc-pVTZ
optimized structure, and (2) on this same structure but with corrected
CCl, CF, and CH bond lengths. |
|
|
The CCl bond length calculated by
MP2/6-311+G(2d,p) optimization was corrected by linear
regression analysis of the data in
Table 4 of Ref. [2]. For the CF bond, the structure was optimized
at the MP2/6-311+G(d,p)
level, and corrected by linear regression analysis of the data in
Table 6 of Ref. [3]. The CH bond lengths were corrected using r =
1.001
ropt, where ropt is obtained by MP2/6-31G(d,p)
optimization
[4]. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 7.
Bromochlorofluoromethane. Structure parameters (Å and
degrees). (1) MP2/aug-cc-pVTZ
optimized structure, and (2) MP2/aug-cc-pVTZ optimized
structure with corrected CCl, CF, and CH bond lengths. |
|
|
|
|
|
|
Struct. (1) |
Struct. (2) |
|
|
|
|
Z-Matrix |
CH |
1.0832 |
1.0853 |
|
CF |
1.3511 |
1.3475 |
|
CCl |
1.7568 |
1.7514 |
|
CBr |
1.9177 |
|
|
HCF |
109.60 |
|
|
HCCl |
108.90 |
|
|
HCBr |
107.97 |
|
|
FCCl |
109.44 |
|
|
FCBr |
109.29 |
|
|
ClCBr |
111.62 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 8. CH79Br35ClF. Atomic
coordinates. (1) MP2/aug-cc-pVTZ
optimized structure, and (2) MP2/aug-cc-pVTZ optimized
structure with corrected CCl, CF, and CH bond lengths. |
(More figures are shown than
are significant.) |
|
|
|
|
|
|
|
|
|
|
|
|
|
a (Å) |
|
b (Å) |
|
c (Å) |
|
|
|
|
|
|
|
|
|
|
(1) |
Cl |
|
1.862086
|
|
0.691537
|
- |
0.057584
|
|
|
C |
|
0.623782
|
- |
0.451937
|
|
0.437709
|
|
|
Br |
- |
1.132639
|
|
0.165291
|
- |
0.022386
|
|
|
F |
|
0.848234
|
- |
1.643784
|
- |
0.157787
|
|
|
H |
|
0.665322
|
- |
0.569804
|
|
1.513678
|
|
|
|
|
|
|
|
|
|
|
(2) |
Cl |
|
1.858230
|
|
0.691234
|
- |
0.057546
|
|
|
C |
|
0.625685
|
- |
0.450696
|
|
0.436652
|
|
|
Br |
- |
1.131912
|
|
0.164046
|
- |
0.022280
|
|
|
F |
|
0.850958 |
- |
1.638878 |
- |
0.157681 |
|
|
H |
|
0.668099 |
- |
0.569001 |
|
1.514651 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 9. CH79Br35ClF. Rotational
constants (MHz). Calc. (1) MP2/aug-cc-pVTZ
optimized structure, and Calc. (2) MP2/aug-cc-pVTZ
optimized structure with corrected CCl, CF, and CH bond lengths. |
|
|
|
|
|
|
|
Calc. (1) |
Calc. (2) |
Expt. [1] |
|
|
|
|
|
|
A |
6460.3 |
6491.6 |
6466.869 61(53) |
|
B |
2050.1 |
2054.4 |
2038.541 46(15) |
|
C |
1608.1 |
1612.6 |
1600.800 03(19) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
[1] A.Bauder, A.Beil, D.Luckhaus,
F.Müller, M.Quack, J.Chem.Phys. 106,7558(1997). |
|
|
[2] I.Merke, L.Poteau,
G.Wlodarczak, A.Bouddou, and J.Demaison, J.Mol.Spectrosc. 177,232(1996). |
|
|
[3] R.M.Villamañan,
W.D.Chen, G.Wlodarczak, J.Demaison, A.G.Lesarri, J.C.López, and
J.L.Alonso, J.Mol.Spectrosc. 171,223(1995). |
|
|
[4] J.Demaison and G.Wlodarczak,
Structural Chem. 5,57(1994). |
|
|
|
|
|
|
|
|
|
|
|
|
"High precision rovibrational and
hyperfine analysis of the nu4 = 1 level of
bromochlorofluoromethane" T.Marrel, M.Ziskind, C.Daussy, and
C.Chardonnet, J.Mol.Struct. 599,195(2001). |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
CH3Cl |
CH3CH2Cl |
CH3Br |
CH3CH2Br |
|
|
CF3Cl |
CF3Br |
CH2BrCl |
CF2BrCl |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table of Contents |
|
|
|
|
|
Molecules/Chlorine |
|
|
|
|
|
Molecules/Bromine |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
CHBrClF.html |
|
|
|
|
|
|
Last
Modified 15 Dec 2005 |
|
|
|
|
|
|
|
|
|
|