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C6H11Br |
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Bromine |
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Nuclear
Quadrupole Coupling Constants |
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in equatorial Cyclohexyl Bromide |
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Calculation of the bromine nqcc's
in equatorial cyclohexyl bromide was made on a molecular structure derived ab
initio,
as described below. These are compared in Table 1 with the
experimental nqcc's of Caminati, et al. [1]. Structure parameters
are given in Table 2, rotational constants in Table 3. |
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In Table 1, 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 for the B1LYP/TZV(3df,3p) model
for calculation of the bromine nqcc's. |
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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 nqcc y-axis is chosen coincident with the
inertia b-axis, these are perpendicular to the molecular symmetry plane.
Ø (degrees) is the angle between its subscripted
parameters. ETA = (Xxx - Xyy)/Xzz. |
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Table 1. Bromine
nqcc's in Cyclohexyl Bromide, equatorial (MHz). |
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Calc. |
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Expt. [1] |
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79Br |
Xaa |
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488.36 |
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466.8(41) |
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Xbb |
- |
265.39 |
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258.8(26) |
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Xcc |
- |
222.97 |
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208.0 |
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|Xac| |
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172.33 |
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RMS |
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15.6 (5.0 %) |
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RSD |
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1.58 (0.39 %) |
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Xxx |
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262.52 |
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Xyy |
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265.39 |
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Xzz |
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527.91 |
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ETA |
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0.0054 |
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Øz,a |
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12.93 |
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Øa,CBr |
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12.38 |
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Øz,CBr |
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0.54 |
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81Br |
Xaa |
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408.06 |
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406.0(62) |
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Xbb |
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221.72 |
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219.7(63) |
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Xcc |
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186.34 |
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186.3 |
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|Xac| |
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143.88 |
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RMS |
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1.66 (0.62 %) |
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RSD |
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1.38 (0.40 %) |
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Molecular Structure |
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The ropt
structure given in Table 2 was derived as follows: The molecular structure was
optimized at the MP2/6-311G(d,p) level of theory. The optimized
CC single bond length was then corrected using the equation obtained
from linear regression analysis of the data given in Table IX of Ref.
[2]. CH bond lengths were corrected using r = 1.001
× ropt, where ropt is obtained by MP2/6-31G(d,p) optimization [3]. |
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For the C-Br bond length, optimization was made at the MP2/6-311+G(2d,p) level of theory of the C-Br bond lengths in CH3Br, CH2Br2,
HCCBr, and BrCN. Linear regression of the calculated versus
equilibrium bond lengths yields the following relationship, by which
the C-Br was corrected: |
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r = 0.9946 × ropt + 0.0001, RSD = 0.0015 Å. |
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The optimized C-Br bond length is 1.9634 Å which, after correction, is 1.9529 Å. |
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Table 2. Cyclohexyl Bromide, equatorial. Heavy atom structure parameters, ropt (Å and degrees). The complete structure is given here in Z-Matrix format. |
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Atomic numbering |
C(6)Br |
1.9529 |
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C(6)C(5) |
1.5163 |
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C(5)C(4) |
1.5266 |
C(4)C(3) |
1.5231 |
CCC,CBr * |
128.02 |
C(1)C(6)C(5) |
112.11 |
C(6)C(5)C(4) |
109.76 |
C(5)C(4)C(3) |
111.06 |
C(4)C(3)C(2) |
111.12 |
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* Angle that C(6)Br makes with the C(1)C(6)C(5) plane. |
On the rs structure of Ref. [1] and the ro structure of Ref. [4], the CBr bond lengths are respectively 1.958(5) and 1.9619(13) Å. |
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Table 3. Cyclohexyl Bromide, equatorial. Rotational Constants (MHz). 79Br
species. |
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Calc. ropt |
Expt. [1] |
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A |
4329.4 |
4280.0(3) |
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B |
903.0 |
894.732(4) |
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C |
783.1 |
776.002(2) |
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[1] W.Caminati, D.Damiani, and F.Scappini, J.Mol.Spectrosc. 104, 183(1984). |
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[2] J.Demaison, J.Cosléou, R.Bocquet,
and A.G.Lesarri, J.Mol.Spectrosc. 167,400(1994). |
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[3] J.Demaison and G.Wlodarczak, Structural
Chem. 5,57(1994). |
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[4] E.Białkowska-Jaworska, M.Jaworski, and Z.Kisiel, J.Mol.Struct. 350,247(1995). |
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Cyclohexyl Bromide, axial |
Cyclohexyl Chloride, axial |
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Cyclohexyl Chloride, equatorial |
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Table of Contents |
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Molecules/Bromine |
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Brcychex_eq.html |
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Last
Modified 5 May 2006 |
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