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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: TPSSh/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at TPSSh/6-31G**
 hartrees
Energy at 0K-225.577081
Energy at 298.15K-225.581473
HF Energy-225.577081
Nuclear repulsion energy152.643955
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at TPSSh/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3249 3115 3.55      
2 A1 3240 3106 17.98      
3 A1 1454 1394 17.54      
4 A1 1317 1263 51.31      
5 A1 1157 1109 28.21      
6 A1 993 952 3.36      
7 A1 904 867 3.05      
8 A2 876 840 0.00      
9 A2 557 534 0.00      
10 B1 863 827 0.31      
11 B1 754 723 20.65      
12 B1 504 483 28.03      
13 B2 3225 3092 3.63      
14 B2 1536 1473 18.97      
15 B2 1302 1248 0.00      
16 B2 1194 1145 6.89      
17 B2 1013 971 69.38      
18 B2 784 752 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 12460.9 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 11946.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at TPSSh/6-31G**
ABC
0.35522 0.30343 0.16365

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.173 0.373
N3 0.000 -1.173 0.373
C4 0.000 0.737 -0.876
C5 0.000 -0.737 -0.876
H6 0.000 0.000 2.177
H7 0.000 1.405 -1.730
H8 0.000 -1.405 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37681.37682.10312.10311.08343.15403.1540
N21.37682.34621.32302.28232.15192.11593.3271
N31.37682.34622.28231.32302.15193.32712.1159
C42.10311.32302.28231.47413.14081.08422.3060
C52.10312.28231.32301.47413.14082.30601.0842
H61.08342.15192.15193.14083.14084.15214.1521
H73.15402.11593.32711.08422.30604.15212.8098
H83.15403.32712.11592.30601.08424.15212.8098

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 102.319 C1 N3 C5 102.319
N2 C1 N3 116.875 N2 C1 H6 121.562
N2 C4 C5 109.243 N2 C4 H7 122.734
N3 C1 H6 121.562 N3 C5 C4 109.243
N3 C5 H8 122.734 C4 C5 H8 128.023
C5 C4 H7 128.023
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.245      
2 N -0.421      
3 N -0.421      
4 C 0.071      
5 C 0.071      
6 H 0.157      
7 H 0.149      
8 H 0.149      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -1.846 1.846
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.626 0.000 0.000
y 0.000 6.011 0.000
z 0.000 0.000 7.351


<r2> (average value of r2) Å2
<r2> 76.436
(<r2>)1/2 8.743