C4H6N2































 























Nitrogen


Nuclear Quadrupole Coupling Constants

in 2-Methylimidazole


 








 
N-Methylimidazole 4-Methylimidazole 5-Methylimidazole






















14N nuclear quadrupole coupling constants in 2-methylimidazole were determined by Gougoula, et al. [1].











Calculation of the 14N nuclear quadrupole coupling constants was made here on a B3LYP/cc-pVTZ  opimized molecular structure, and on a heavy atom rs structure [1] with hydrogen parameters determined by B3LYP/cc-pVTZ partial optimization.


 








Calculated and experimental nqcc's are compared in Tables 1 and 2.  Structure parameters in Z-matrix format are given in Table 3, rotational constants are compared in Table 4.


 









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 angle between its subscripted parameters.  RMS is the root mean square difference between calculated and experimental diagonal 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. 


 








 








   








Table 1.  Pyrrolic 14N(1) nqcc's in 2-Methylimidazole (MHz).  Calculation was made on  the ropt = B3LYP/cc-pVTZ optimized structure, and on the heavy atom rs structure.

   










Calc /ropt
Calc /rs
Expt [1]

   








Xaa
1.266

1.276

1.3010(59)


Xbb - Xcc
4.236

4.082

4.178(10)


Xbb
1.485

1.403

1.4385 *


Xcc -
2.751
-
2.679
-
2.7395 *


Xab
0.132

0.258













RMS

0.025 (1.4 %)

0.043 (2.4 %)




RSD
0.030 (1.3 %)

0.030 (1.3 %)



 








Xxx
1.204

1.074




Xyy
1.547

1.605




Xzz -
2.751
-
2.679




ETA

0.125

0.198




Øz,c

 zero

 zero




 









 








* Calculated here from experimental Xaa and Xbb - Xcc

 









 









   








Table 2.  Pyridinic 14N(3) nqcc's in 4-Methylimidazole (MHz).  Calculation was made on the ropt = B3LYP/cc-pVTZ optimized structure, and on the heavy atom rs structure.
   










Calc /ropt
Calc /rs
Expt [1]

   








Xaa
1.374

1.455

1.3742(64)


Xbb - Xcc -
5.463
-
4.591
-
5.399(10)


Xbb -
3.418
-
3.023
-
3.3866 *


Xcc
2.044

1.568

2.0124 *


Xab
1.703

1.691













RMS

0.026 (1.3 %)

0.157 (7.7 %)




RSD
0.030 (1.3 %)

0.030 (1.3 %)



 








Xxx
1.918

1.816




Xyy
2.044
2.198




Xzz -
3.962
-
4.014




ETA

0.0319

0.0949




Øz,bi**







 









 









* Calculated here from experimental Xaa and Xbb - Xcc

** "bi" is bisector of C(2)N(3)C(4) angle.


 









 



Table 3.  2-Methylimidazole:  Structure parameters,  ropt = B3LYP/cc-pVTZ optimized structure, and rs = heavy atom substitution structure. (Å and degrees). 





 N
 C,1,R1
 N,2,R2,1,A1
 C,3,R3,2,A2,1,D1,0
 C,4,R4,3,A3,2,D2,0
 H,1,R5,2,A4,3,D3,0
 H,4,R6,3,A5,2,D4,0
 H,5,R7,4,A6,3,D5,0
 C,2,R8,1,A7,5,D6,0
 H,9,R9,2,A8,1,D7,0
 H,9,R10,2,A9,1,D8,0
 H,9,R11,2,A10,1,D9,0


      ropt       rs




 R1=1.36701504
 R2=1.31323427
 R3=1.37619667
 R4=1.36408958
 R5=1.00473456
 R6=1.07662148
 R7=1.07492373
 R8=1.48981417
 R9=1.09268076
 R10=1.09268076
 R11=1.0869601
 A1=110.58203512
 A2=106.12814348
 A3=110.48263401
 A4=126.25917014
 A5=121.51382593
 A6=132.62271265
 A7=123.35198793
 A8=111.84651164
 A9=111.84651164
 A10=108.60086061
 D1=0.
 D2=0.
 D3=180.
 D4=180.
 D5=180.
 D6=180.
 D7=-60.46748093
 D8=60.46748093
 D9=180.
B1=1.31646544
B2=1.33588122
B3=1.41347775
B4=1.36612763
B5=1.00491656
B6=1.07607884
B7=1.07469401
B8=1.49522152
B9=1.09269311
B10=1.09269311
B11=1.08576411
A1=113.32423712
A2=103.44814456
A3=110.31025569
A4=126.40113322
A5=121.35108400
A6=133.04463201
A7=125.03987730
A8=111.91981406
A9=111.91981406
A10=108.10450448
D1=0.
D2=0.
D3=180.
D4=180.
D5=180.
D6=180.
D7=-60.44727520
D8=60.44727520
D9=180.







 








 






Table 4.  2-Methylimidazole: Rotational Constants (MHz).

 






 Calc /ropt  Calc /rs     Expt [1]


 





 A
    8979.
  8910.
8892.9063(26)


 B
    3605.
  3614.
3601.19596(95)


 C
    2614.
  2613.
2604.8287(98)










 








 









[1] E.Gougoula, C.Medcraft, J.Heitkämper, and N.Walker, Abstract MI01, 74th ISMS, Champaign-Urbana, Illinois, 2019;  J.Chem.Phys. 151,144301(2019).

 









 









Table of Contents




Molecules/Nitrogen




 








 













2MeImidazole.html






Last Modified 9 Oct 2019