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CH2·NH·CH(CH3) |
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Nitrogen |
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Nuclear
Quadrupole Coupling Constants |
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in 2-Methylaziridine (Propyleneimine)
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The
microwave spectra of cis-2-methylaziridine
was observed and assigned by Li and Durig [1], and by Schmidt and Beeson [2]. 14N nuclear quadrupole coupling constants were determined.
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Here, for both cis and trans conformers - shown below, calculation of the nitrogen nqcc
tensor was made on molecular structures given by MP2/6-311+G(d,p) and MP2/6-311+G(3df,3pd) optimization. These
calculated nqcc's are compaed with experimental values [1] in Tables 1 and 2. Structure
parameters are given in Z-Matrix format in Table 3, rotational
constants and dipole moments in Table 4, quartic centrifugal distortion constants in Table 5.
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cis-2-Methylaziridine
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trans-2-Methylaziridine
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At the
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MP2/6-311+G(3df,3pd) |
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level of theory,
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Etrans < Ecis
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by 2.1 kJ/mol
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In Tables 1 and 2, 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.
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RMS is the root mean square
difference between calculated and experimental nqcc's. RSD is the
calibration residual standard deviation of
the B3PW91/6-311+G(df,pd) model for calculation of the nitrogen efg's/nqcc's. |
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Table 1. 14N
nqcc tensor in cis-2-Methylaziridine
(MHz). Calculation was made on molecular structures given by (1)
MP2/6-311+G(d,p) and (2) MP2/6-311+G(3df,3pd) optimization. |
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Calc (1) |
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Calc (2)
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Expt [1]
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Xaa |
-
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1.167
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-
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1.192
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-
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1.16(2)
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Xbb |
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1.778
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1.800
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1.80(2)
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Xcc |
-
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0.611
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-
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0.608
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-
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0.64(2)
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Xab
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0.676
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0.698
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Xac |
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1.999
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1.999
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Xbc |
-
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2.106
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-
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2.115
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RMS
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0.021 (1.8 %)
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0.026 (2.2 %)
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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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Xxx |
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0.551
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0.552
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Xyy |
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3.058
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3.077
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Xzz |
-
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3.609
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3.629
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ETA |
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0.694
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0.696
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Øz,NH |
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132.1
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131.8
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Table 2. 14N
nqcc tensor in trans-2-Methylaziridine
(MHz). Calculation was made on molecular structures given by (1)
MP2/6-311+G(d,p) and (2) MP2/6-311+G(3df,3pd) optimization. |
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Calc (1) |
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Calc (2)
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Expt
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Xaa |
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0.813
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0.798
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Xbb |
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2.063
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2.071
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Xcc |
-
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2.876
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-
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2.869
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Xab
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-
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1.391
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-
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1.406
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Xac |
-
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0.944
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-
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0.963
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Xbc |
-
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1.244
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-
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1.243
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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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Xxx |
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0.526
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0.519
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Xyy |
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3.018
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3.031
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Xzz |
-
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3.543
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-
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3.550
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ETA |
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0.703
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0.707
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Øz,NH |
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132.4
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132.3
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Table 3. 2-Methylaziridine: MP2/6-311+G(d,p) and MP2/6-311+G(3df,3pd) optimized structure parameters (Å
and degrees).
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cis-2-Methylaziridine
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trans-2-Methylaziridine
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N
C,1,B1
C,1,B2,2,A1
H,1,B3,2,A2,3,D1,0
H,3,B4,1,A3,2,D2,0
H,2,B5,1,A4,3,D3,0
H,2,B6,1,A5,3,D4,0
C,3,B7,1,A6,2,D5,0
H,8,B8,3,A7,1,D6,0
H,8,B9,3,A8,1,D7,0
H,8,B10,3,A9,1,D8,0
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____________________ MP2/6-311+G(d,p)____________________
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cis
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trans
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B1=1.48455468
B2=1.47718299
B3=1.01960358
B4=1.0869794
B5=1.08404927
B6=1.08672656
B7=1.50764998
B8=1.09465623
B9=1.09467929
B10=1.09562601
A1=60.10403013
A2=108.43032232
A3=112.34906577
A4=114.49349698
A5=118.02587932
A6=119.84653164
A7=110.94814244
A8=110.88386996
A9=110.29693244
D1=101.04559283
D2=-109.62506439
D3=112.1129528
D4=-106.65790104
D5=109.84068261
D6=77.21044473
D7=-162.43218221
D8=-42.82151946
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B1=1.4833335
B2=1.47743414
B3=1.01805204
B4=1.08877059
B5=1.08582525
B6=1.08496902
B7=1.50522401
B8=1.0944112
B9=1.0947942
B10=1.09321847
A1=60.18368895
A2=108.93428396
A3=116.28779387
A4=118.24642232
A5=114.20776719
A6=115.78471968
A7=110.73809611
A8=110.84591935
A9=109.5315166
D1=-102.23126317
D2=-105.94736
D3=108.08212475
D4=-110.7183989
D5=112.85626432
D6=81.42600796
D7=-157.95978902
D8=-37.83352299
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____________________ MP2/6-311+G(3df,3pd)____________________ |
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trans
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B1=1.47903111
B2=1.47057676
B3=1.01571814
B4=1.08280119
B5=1.07978458
B6=1.0819464
B7=1.50131819
B8=1.0898696
B9=1.0897449
B10=1.09076623
A1=60.09632531
A2=108.67131248
A3=112.33603282
A4=114.30819877
A5=117.87752209
A6=119.47904473
A7=110.96781997
A8=110.998557
A9=110.34458921
D1=101.08504192
D2=-109.60061196
D3=112.20234954
D4=-106.71903851
D5=109.96800372
D6=76.89032242
D7=-162.87302226
D8=-43.11520196
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B1=1.47784688
B2=1.47215681
B3=1.01424742
B4=1.08387826
B5=1.08094524
B6=1.08065069
B7=1.4996737
B8=1.08918986
B9=1.08974834
B10=1.08840126
A1=60.11424879
A2=109.07451674
A3=116.32943696
A4=118.17126295
A5=114.06672114
A6=115.47405408
A7=110.76970213
A8=110.94088848
A9=109.63441925
D1=-102.37611586
D2=-106.06808881
D3=108.31965798
D4=-110.63752867
D5=112.79938152
D6=81.33047717
D7=-158.08515319
D8=-37.89761827
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Table 4. 2-Methylaziridine: Rotational Constants (MHz) and Dipole Moments (D). Calc (1)
= MP2/6-311+G(d,p) and Calc (2) = MP2/6-311+G(3df,3pd) optimization.
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__________cis-2-Methylaziridine__________
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Calc (1)
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Calc (2)
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Expt [1]
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A |
16689
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16813 |
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B |
6561
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6624 |
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C |
5818
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5875 |
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|µa|
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1.41
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1.40
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|µb| |
1.10
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1.10
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|µc| |
0.87
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0.87
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__________trans-2-Methylaziridine__________ |
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Calc (1)
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Calc (2)
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Expt [1]
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A
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16928
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17044
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B
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6535
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6596
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C
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5765
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5821
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|µa| |
0.11
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0.12
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|µb| |
0.88
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0.88
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|µc|
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1.54
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1.54
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Table 5. 2-Methylaziridine: Quartic Centrifugal Distortion Constants (kHz). Calc
= B3LYP/cc-pVTZ |
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____cis-2-Methylaziridine____
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___trans-2-Methylaziridine___ |
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Calc
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Expt
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Calc
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Expt
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Delta_J
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2.73
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2.72
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Delta_JK |
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4.21
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3.21
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Delta_K |
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12.8
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15.5
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delta_J |
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0.188
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0.241
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delta_K |
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3.25
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3.48
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D_J |
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2.68
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2.66
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D_JK |
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4.55
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3.57
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D_K |
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12.5
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15.2
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d_1
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-
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0.188
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-
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0.241
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d_2
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-
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0.0281
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-
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00303
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[1] Y.S.Li and J.R.Durig, J. Mol. Spectrosc. 47,179(1973).
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[2] R.Schmidt and E.L.Beeson Jr., J.Chem.Phys. 59,3070(1973): Xaa, Xbb, Xcc = -1.14(6), 2.01(5), -0.88(7) MHz.
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Aziridine
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2-Cyanoaziridine
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1-Aziridineethanol
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Table of Contents |
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Molecules/Nitrogen |
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2MeAziridine.html |
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Last
Modified 30 Jan 2014
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