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C3N2H3Br |
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Bromine and Nitrogen
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Nuclear
Quadrupole Coupling Constants |
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in 4-Bromopyrazole
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Bromine and nitrogen nuclear quadrupole coiupling constants in 4-bromopyrazole were determined by Cooper et al. [1].
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Calculation of the Br and 14N
nqcc's
was made here on molecular structures given by B3LYP/cc-pVTZ and
B3PW91/6-31G(2d,2pd) optimization. Bromine nqcc's are compared
with the
experimental values in Table 1, nitrogen nqcc's in
Tables 2 and 3. Structure parameters are given in
Table 4, rotational constants in Table 5.
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In Tables 1 - 3, subscripts a,b,c refer to the principal axes of the inertia
tensor; x,y,z to the principal axes of the nqcc tensor. ETA = (Xxx - Xyy)/Xzz. Ø (degrees) is the angle between its subscripted parameters. 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 B1LYP/TZV(3df,3p) model for calculation of bromine efg's/nqcc's; and in Tables 2 and 3, of the B3PW91/6-311+G(df,pd) model for nitrogen.
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Table
1. Bromine nqcc's in 4-Bromopyrazole (MHz). Calculation was
made on (1) B3LYP/cc-pVTZ and (2) B3PW91/6-31G(2d,2pd) optimized
molecular structures.
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Calc (1)
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Calc (2) |
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Expt [1] |
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79Br |
Xaa |
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602.25
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590.46
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590.178(13)
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Xbb - cc
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+ 2.34
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+ 0.27
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- 1.977(10)
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Xbb |
-
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299.95
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-
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295.09
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-
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296.077 *
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Xcc |
-
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302.30
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-
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295.36
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-
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294.101 *
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|Xab| |
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6.12
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5.34
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RMS |
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8.72 (2.2 %)
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0.94 (0.24 %)
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RSD |
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1.58 (0.39 %)
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1.58 (0.39 %) |
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Xxx |
-
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300.00
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-
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295.12
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Xyy |
-
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302.30
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-
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295.36 |
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Xzz |
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602.29
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590.49
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ETA
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0.0038
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0.0004
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Øz,a |
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0.39
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0.35
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Øa,CBr |
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0.29
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0.28
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Øz,CBr |
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0.10
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0.07
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81Br |
Xaa |
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503.16
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493.31
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493.009(10)
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Xbb - cc |
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+ 1.96
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+ 0.23
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- 1.666(10)
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Xbb |
-
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250.60
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-
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246.54
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-
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247.338 *
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Xcc |
-
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252.56
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-
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246.77
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-
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245.671 *
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|Xab| |
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5.11
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4.45
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7.3(21)
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RMS
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7.33 (2.2 %)
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0.80 (0.24 %)
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RSD
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1.38 (0.40 %) |
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1.38 (0.40 %) |
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* Calculated here from experimental Xaa and Xbb - cc |
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Table 2. Nitrogen nqcc's in 4-79Br-Pyrazole
(MHz). Calculation was made on (1) B3LYP/cc-pVTZ and (2)
B3PW91/6-31G(2d,2pd) optimized molecular structures. N(1) is
pyrrolic, N(2) pyridinic.
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Calc (1)
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Calc (2) |
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Expt [1]
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14N(1) |
Xaa |
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0.846
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0.830
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0.786(17)
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Xbb - cc |
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5.310
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5.034
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5.377(10)
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Xbb |
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2.232
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2.200
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2.295 *
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Xcc |
-
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3.078
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-
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3.030
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-
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3.082 *
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|Xab| |
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0.196
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0.193
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RMS
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0.051 (2.5 %)
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0.067 (3.3 %)
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RSD
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0.030 (1.3 %)
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0.030 (1.3 %) |
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14N(2)
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Xaa
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-
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3.623
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-
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3.609
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-
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3.707(15)
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Xbb - cc |
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2.030
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1.980
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2.058(10)
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Xbb |
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2.826
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2.799
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2.882 *
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Xcc
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0.796
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0.810
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0.825 *
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|Xab| |
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2.395
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2.380
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RMS
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0.061 (2.5 %)
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0.075 (3.0 %)
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RSD |
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0.030 (1.3 %) |
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0.030 (1.3 %) |
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* Calculated here from experimental Xaa and Xbb - cc
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Table 3. Nitrogen nqcc's in 4-81Br-Pyrazole
(MHz). Calculation was made on (1) B3LYP/cc-pVTZ and (2)
B3PW91/6-31G(2d,2pd) optimized molecular structures. N(1) is
pyrrolic, N(2) pyridinic.
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Calc (1)
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Calc (2) |
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Expt.
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14N(1) |
Xaa |
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0.846
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0.830
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0.847(18)
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Xbb - cc |
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5.310
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5.230
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5.3736(96)
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Xbb |
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2.232
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2.200
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2.263 *
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Xcc |
-
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3.078
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-
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3.030
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-
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3.110 *
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|Xab| |
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0.196
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0.193
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RMS
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0.026 (1.3 %)
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0.060 (2.9 %)
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RSD
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0.030 (1.3 %) |
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0.030 (1.3 %) |
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14N(2)
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Xaa
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-
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3.623
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-
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3.609
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-
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3.651(14)
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Xbb - cc |
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2.030
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1.988
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2.0764(96)
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Xbb |
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2.826
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2.799
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2.864 *
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Xcc
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0.796
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0.810
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0.787 *
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|Xab| |
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2.395
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2.380
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RMS
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0.028 (1.1 %)
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0.047 (1.9 %)
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RSD |
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0.030 (1.3 %) |
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0.030 (1.3 %) |
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* Calculated here from experimental Xaa and Xbb - cc |
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Table 4. 4-Bromopyrazole: Optimized structure parameters ropt(1) = B3LYP/cc-pVTZ, ropt(2) = B3PW91/6-31G(2d,2pd) (Å and degrees). |
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N
N,1,B1
C,2,B2,1,A1
C,3,B3,2,A2,1,D1,0
C,1,B4,2,A3,3,D2,0
H,1,B5,2,A4,3,D3,0
H,3,B6,2,A5,1,D4,0
H,5,B7,1,A6,2,D5,0
Br,4,B8,3,A7,2,D6,0
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ropt(1) |
ropt(2) |
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B1=1.3437089
B2=1.32639916
B3=1.40773212
B4=1.35307924
B5=1.00463059
B6=1.07640066
B7=1.07494082
B8=1.88381066
A1=104.75860872
A2=110.88516509
A3=113.33277244
A4=119.06462344
A5=120.6910809
A6=123.0155239
A7=127.58361294
D1=0.
D2=0.
D3=180.
D4=180.
D5=180.
D6=180.
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B1=1.33896722
B2=1.32775194
B3=1.40803411
B4=1.35064715
B5=1.00465796
B6=1.07827788
B7=1.07690251
B8=1.85670796
A1=104.56109668
A2=111.04529142
A3=113.69641406
A4=118.9201164
A5=120.63029961
A6=123.00496837
A7=127.76262668
D1=0.
D2=0.
D3=180.
D4=180.
D5=180.
D6=180.
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Table 5. 4-Bromopyrazole, 79Br species: Rotational Constants (MHz), ropt(1) and ropt(2) (see Table 4).
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ropt(1) | ropt(2) |
Expt [1]
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A
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9555.
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9578.
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9481.0546(10)
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B
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1258.
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1277.
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1268.29655(20)
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C
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1112.
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1126.
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1118.43383(18)
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[1] G.A.Cooper, C.Medcraft, J.D..Littlefair, T.J.Penfold, and N.Walker, J.Chem.Phys. 147,214303(2017).
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G.A.Cooper, C.Medcraft, A.Legon, N.Walker, Abstract FB04, 72nd ISMS, Champaign-Urbana, Illinois, 2017. |
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Bromobenzene
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3-Bromofurane
| 2-Bromothiophene
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Pyrazole
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4-Iodopyrazole
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Table of Contents |
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Molecules/Bromine
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Molecules/Nitrogen |
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4Brpyrazole.html |
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Last
Modified 3 Dec 2017 |
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