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

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

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/6-31+G**
 hartrees
Energy at 0K-225.586093
Energy at 298.15K-225.590485
HF Energy-225.586093
Nuclear repulsion energy152.608015
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/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3258 3136 2.63      
2 A1 3245 3123 13.23      
3 A1 1447 1393 18.21      
4 A1 1315 1265 57.12      
5 A1 1158 1115 26.41      
6 A1 990 953 2.33      
7 A1 903 870 2.13      
8 A2 870 837 0.00      
9 A2 551 530 0.00      
10 B1 866 834 0.02      
11 B1 754 726 28.69      
12 B1 503 484 28.72      
13 B2 3231 3110 1.32      
14 B2 1529 1472 25.96      
15 B2 1297 1249 0.03      
16 B2 1191 1147 7.80      
17 B2 1016 978 68.38      
18 B2 786 757 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 12455.5 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 11988.4 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/6-31+G**
ABC
0.35410 0.30404 0.16358

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
N2 0.000 1.171 0.373
N3 0.000 -1.171 0.373
C4 0.000 0.737 -0.877
C5 0.000 -0.737 -0.877
H6 0.000 0.000 2.180
H7 0.000 1.407 -1.730
H8 0.000 -1.407 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37651.37652.10732.10731.08283.15743.1574
N21.37652.34211.32372.28182.15262.11653.3269
N31.37652.34212.28181.32372.15263.32692.1165
C42.10731.32372.28181.47483.14451.08392.3074
C52.10732.28181.32371.47483.14452.30741.0839
H61.08282.15262.15263.14453.14454.15494.1549
H73.15742.11653.32691.08392.30744.15492.8132
H83.15743.32692.11652.30741.08394.15492.8132

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 102.581 C1 N3 C5 102.581
N2 C1 N3 116.592 N2 C1 H6 121.704
N2 C4 C5 109.122 N2 C4 H7 122.753
N3 C1 H6 121.704 N3 C5 C4 109.122
N3 C5 H8 122.753 C4 C5 H8 128.124
C5 C4 H7 128.124
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.009      
2 N -0.217      
3 N -0.217      
4 C -0.036      
5 C -0.036      
6 H 0.171      
7 H 0.172      
8 H 0.172      


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 -1.920 1.920
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 4.003 0.000 0.000
y 0.000 7.192 0.000
z 0.000 0.000 7.958


<r2> (average value of r2) Å2
<r2> 76.956
(<r2>)1/2 8.772