KCN







 









Nitrogen and Potassium


Nuclear Quadrupole Coupling Constants


in Potassium Cyanide


 








 


 




"Gaseous alkali metal cyanides are floppy molecules." [1].  Thus, the nqcc's measured in the ground rotational state, but with large amplitude vibrational motion, and the nqcc's calculated on a rigid molecular structure cannot be expected to agree very well.  Nevertheless, we have undertaken calculation of the nitrogen and potassium nqcc's in KCN on both substitution and effective structures derived by van Vaals et al. [1].  The results for nitrogen are compared with the experimental nqcc's in Tables 1 and 2.  Calculated and experimental potassium nqcc's are compared in Tables 3 and 4. Structure parameters are given  in Table 5.
 

  








   







Table 1. Nitrogen nqcc's in KCN (MHz).
   






Calculation was made on the substitution structure.
 




Calc.
Expt. [1]
   






14N Xaa
2.024
1.921(4)
Xbb - 4.101 -
4.041(15)
  Xcc 2.077 2.120 *
|Xab|
0.960
 
RMS
0.073 (2.7 %)
  RSD 0.030 (1.3 %)
 
Xxx 2.171 1.995(23)
Xyy 2.077 2.120
Xzz - 4.248 - 4.110(25)
ETA - 0.022 0.029(13)
 Øz,a 81.29 83.7(10)
 Øa,CN 81.25
 Øz,CN   0.04
 


 







* Calculated here from zero trace condition.

 







 
   







Table 2. Nitrogen nqcc's in KCN (MHz).
   






Calculation was made on the effective structure.
 




Calc.
Expt. [1]
   






14N Xaa
2.078
1.921(4)
Xbb - 4.169 -
4.041(15)
  Xcc 2.091 2.120 *
|Xab|
0.891
 
RMS
0.118 (4.4 %)
  RSD 0.030 (1.3 %)
 
Xxx 2.202 1.995(23)
Xyy 2.091 2.120
Xzz - 4.294 - 4.110(25)
ETA - 0.026 0.029(13)
 Øz,a 82.04 83.7(10)
 Øa,CN 81.88
 Øz,CN   0.16   1.8(10)
 

 







 
   







Table 3. Potassium nqcc's in KCN (MHz).
   






Calculation was made on the substitution structure.
 




Calc.
Expt. [1]
   






39K Xaa -
5.570 -
5.605(5)
Xbb
2.595
2.594(11)
  Xcc 2.975 3.011 *
|Xab|
0.396
 
RMS
0.029 (0.78 %)
  RSD 0.026 (0.60 %)
 
Xxx 2.614 2.637(9)
Xyy 2.975 3.011
Xzz - 5.589 - 5.645(10)
ETA
0.064 0.066
 Øz,a   2.77   4.0(7)
 Øa,CN 81.25
 Øz,CN 84.02
 
 
 
   







Table 4. Potassium nqcc's in KCN (MHz).
   






Calculation was made on the effective structure.
 




Calc.
Expt. [1]
   






39K Xaa -
5.467 -
5.605(5)
Xbb
2.540
2.594(11)
  Xcc 2.927 3.011 *
|Xab|
0.350
 
RMS
0.062 (1.6 %)
  RSD 0.026 (0.60 %)
 
Xxx 2.555 2.637(9)
Xyy 2.927 3.011
Xzz - 5.482 - 5.645(10)
ETA
0.068 0.066
 Øz,a   2.50   4.0(7)
 Øa,CN 81.88
 Øz,CN 84.38 85.9(7)
 
 
 
Table 4. Molecular Structures [1].  T - Shaped
 
rs  (Å) ro  (Å)
CN 1.174(2) 1.169(3)
KC 2.711(5) 2.716(9)
KN 2.532(5) 2.549(9)
 
 

[1] J.J.vanVaals, W.LeoMeerts, and A.Dymanus, J.Mol.Spectrosc. 106,280(1984).
 
 
CN Anion NaCN LiNC

 








 








Table of Contents



Molecules/Nitrogen

Molecules/Potassium




 








 













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Last Modified 3 Sept 2004