C4H10N2


















 





 








Nitrogen


Nuclear Quadrupole Coupling Constants

in 1,2-Dimethyl-1,2-Diazetidine


 








 








 








The micrpwave spectrum of 1,2-dimethyl-1,2-diazetidine was assigned by Gebhardt et al. [1].

 








Calculation of the nitrogen nqcc tensors was made here on ropt structures given by B3P86/6-31G(2d,2p) and PBE1PBE/6-31G(2d,2p) optimization.  These are compared with the experimental nqcc's [1] in Table 1.  Structure parameters are given in Table 2, rotational constants in Table 3.


 








In Table 1, subscripts a,b,c refer to the principal axes of the inertia tensor, subscripts 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 nqcc's (percentage of the average experimental nqcc).  RSD is the residual standard deviation of calibration of the B3PW91/6-311+G(df,pd) model for calculation of the efg's/nqcc's.


 








 








 








Table 1.  14N nqcc's in 1,2-Dimethyl-1,2-Diazetidine (MHz).  Calculation was made on (1) B3P86/6-31G(2d,2p) and (2) PBE1PBE/6-31G(2d,2p) optimized structures.

 










Calc (1)

Calc (2)
Expt [1]
 








Xaa

3.022

3.020

2.939(15)


Xbb
1.378

1.391

1.400(12)


Xcc -
4.400
-
4.411
-
4.339(10)


Xab
±
0.121
± 0.123




Xac -
2.583
-
2.576




Xbc ±
1.948
± 1.930













RMS
0.061 (2.1 %)

0.062 (2.2 %)



RSD
0.030 (1.3 %)
0.030 (1.3 %)












Xxx
3.934

3.924




Xyy
1.785

1.791




Xzz -
5.719
-
5.715




ETA -
0.376
-
0.373




Øz,NN
106.2

106.3




 









 








 









 


Table 2.  1,2-Dimethyl-1,2-Diazetidine.  Structure parameters (Å and degrees).  ropt(1) = B3P86/6-31G(d,2p) and ropt(2) = PBE1PBE/6-31G(2d,2p) optimized structure.
 



 N
 N,1,B1
 C,2,B2,1,A1
 C,3,B3,2,A2,1,D1,0
 H,4,B4,3,A3,2,D2,0
 H,3,B5,2,A4,1,D3,0
 H,3,B6,2,A5,1,D4,0
 H,4,B7,3,A6,2,D5,0
 C,1,B8,2,A7,3,D6,0
 H,9,B9,1,A8,2,D7,0
 H,9,B10,1,A9,2,D8,0
 H,9,B11,1,A10,2,D9,0
 C,2,B12,1,A11,9,D10,0
 H,13,B13,2,A12,1,D11,0
 H,13,B14,2,A13,1,D12,0
 H,13,B15,2,A14,1,D13,0


     ropt(1)      ropt(2)


 B1=1.47700856
 B2=1.47570179
 B3=1.52832888
 B4=1.09061171
 B5=1.09804843
 B6=1.09061171
 B7=1.09804843
 B8=1.44472912
 B9=1.09358064
 B10=1.10084242
 B11=1.09282523
 B12=1.44472912
 B13=1.09282523
 B14=1.09358064
 B15=1.10084242
 A1=89.31342011
 A2=87.37645977
 A3=118.49140987
 A4=112.79114775
 A5=114.60769065
 A6=112.39271174
 A7=111.63239804
 A8=108.58146116
 A9=112.69805419
 A10=109.68000249
 A11=111.63239804
 A12=109.68000249
 A13=108.58146116
 A14=112.69805419
 D1=-19.11084962
 D2=135.85371539
 D3=94.11744206
 D4=-139.39193257
 D5=-94.46318804
 D6=136.81314665
 D7=-171.69416573
 D8=-50.45350694
 D9=70.74176589
 D10=-106.17392555
 D11=70.74176589
 D12=-171.69416573
 D13=-50.45350694
 B1=1.47158623
 B2=1.47331134
 B3=1.52737835
 B4=1.09144599
 B5=1.09872921
 B6=1.09144599
 B7=1.09872921
 B8=1.44371182
 B9=1.09421576
 B10=1.10128224
 B11=1.09360069
 B12=1.44371182
 B13=1.09360069
 B14=1.09421576
 B15=1.10128224
 A1=89.35561385
 A2=87.24802827
 A3=118.52958827
 A4=112.80760084
 A5=114.67545773
 A6=112.33978401
 A7=111.68515431
 A8=108.59131561
 A9=112.66285272
 A10=109.6901123
 A11=111.68515431
 A12=109.6901123
 A13=108.59131561
 A14=112.66285272
 D1=-19.3585048
 D2=136.07465979
 D3=93.75794681
 D4=-139.63214049
 D5=-94.21025118
 D6=137.15047339
 D7=-171.53532775
 D8=-50.28206452
 D9=70.89941069
 D10=-105.77514398
 D11=70.89941069
 D12=-171.53532775
 D13=-50.28206452
 
 




 








 



Table 3.  1,2-Dimethyl-1,2-Diazetidine.  Rotational constants (MHz).  ropt(1) = B3P86/6-31G(d,2p) and ropt(2) = PBE1PBE/6-31G(2d,2p) optimized structure.
 





  ropt(1)   ropt(2) Expt [1]






A   5125.
  5131.
5053.003(3)

B   3815.
  3830.
3801.114(3)

C   2465.
  2470.
2436.404(3)







 








 








[1]  K.F.Gebhardt, H.Oberhammer, and W.Zeil, J.Chem.Soc. Faraday 76, 1293(1980).


 









 









Azetidine 2-Azetidinone




 








 








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Last Modified 16 May 2016