(CH3)2CHCN



 







 

Nitrogen


Nuclear Quadrupole Coupling Constants


in Isobutylnitrile


 







 
 
Calculation of the nitrogen nqcc's in isobutlynitrile was made on a molecular structure derived ab initio as discussed below.  These are compared with the experimental nqcc's of Herberich [1] in Table 1.  Structure parameters are given in Table 2, rotational constants in Table 3.  A link is provided below to the Gaussian input file in Z-Matrix format.
 
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.  The nqcc y-axis is chosen coincident with the inertia b-axis, these are perpendicular to the symmetry plane of the molecule.  Ø (degrees) is the angle between its subscripted parameters. ETA = (Xxx - Xyy)/Xzz.
 
RMS is the root mean square difference between calculated and experimental nqcc's (percentage of average experimental nqcc).  RSD is the residual stand deviation of calibration of the B3PW91/6-311+G(df,pd) model for calculation of the nqcc's.
 
 
   







Table 1. Nitrogen nqcc's in (CH3)2CHCN (MHz).  Calculation was made on the structure given in Table 2.
   










Calc.
Expt. [1]
   






14N Xaa - 3.922 - 3.905(10)
Xbb 2.094 2.077(20)
Xcc 1.828 1.828(17)
|Xac| 1.308
 
RMS 0.014 (0.54 %)
RSD 0.030 (1.3 %)
 
Xxx 2.112 2.112 *
Xyy 2.094 2.077(20)
Xzz - 4.206 - 4.189
ETA - 0.004 - 0.008
Øz,a 12.23 12.26
Øa,CN 12.36 12.36
Øz,CN   0.13   0.10
 
   
* Calculated here from the experimental diagonal nqccc's and the calculated off-diagonal nqcc.
 
 
Molecular Structure
 
The molecular structure was optimized at the MP2/6-311+G(d,p) level of theory assuming Cs symmetry.  The optimized CN and C-C bond lengths were corrected by the methods of  Ref. [3].  The CH bond lengths were corrected using r = 1.001 ropt, where ropt is obtained by MP2/6-31G(d,p) optimization [4].  Interatomic angles used in the calculation are those given by MP2/6-311+G(d,p) optimization.  Structure parameters thus obtained are shown in Table 2.
 
 
Table 2.  Molecular structure parameters (Å and degrees).
 
N(1)C(2) 1.1567
C(2)C(3) 1.4650
C(3)H(4) 1.0940
C(3)C(5) 1.5264
C(5)H(7) 1.0904
C(5)H(8) 1.0893
C(5)H(9) 1.0900
N(1)C(2)C(3) 179.15
C(2)C(3)H(4) 106.71
C(2)C(3)C(5) 110.18
C(3)C(5)H(7) 109.54
C(3)C(5)H(8) 111.20
C(3)C(5)H(9) 110.26
Dihedral angles?  See Z-Matrix H(7)C(5)H(8) 108.73
H(7)C(5)H(9) 108.56
H(8)C(5)H(9) 108.49

 
 
 
Table 3.  Rotational Constants (MHz).
 
Calc. ropt    Expt. [1]
A 8 050.2 7 940.95(4)
B 3 986.9 3 968.039(10)
C 2 926.0 2 901.030(10)
 
 
[1] G.E.Herberich, Z.Naturforsch. 22a,543(1967).
[2] J.Demaison, J.Cosléou, R.Bocquet, and A.G.Lesarri, J.Mol.Spectrosc. 167,400(1994).
[3] J.Demaison and G.Wlodarczak, Structural Chem. 5,57(1994).

 








 







CH3CN
CH3CH2CN (CH3)3CCN
 

 








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Last Modified 16 Nov 2005