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

using model chemistry: HF/CEP-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 HF/CEP-31G
 hartrees
Energy at 0K-37.399506
Energy at 298.15K-37.404072
HF Energy-37.399506
Nuclear repulsion energy76.672523
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 HF/CEP-31G
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 3510 3164 7.83      
2 A1 3478 3135 10.91      
3 A1 1519 1369 8.85      
4 A1 1342 1210 64.39      
5 A1 1177 1061 22.70      
6 A1 1017 917 0.01      
7 A1 964 869 4.90      
8 A2 855 771 0.00      
9 A2 581 524 0.00      
10 B1 883 796 0.32      
11 B1 789 712 57.42      
12 B1 603 543 36.44      
13 B2 3464 3123 2.36      
14 B2 1550 1397 7.06      
15 B2 1373 1238 0.00      
16 B2 1188 1071 4.02      
17 B2 1126 1015 51.94      
18 B2 916 826 6.53      

Unscaled Zero Point Vibrational Energy (zpe) 13167.9 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 11869.6 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 HF/CEP-31G
ABC
0.34109 0.30050 0.15976

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.130
N2 0.000 1.168 0.374
N3 0.000 -1.168 0.374
C4 0.000 0.759 -0.896
C5 0.000 -0.759 -0.896
H6 0.000 0.000 2.201
H7 0.000 1.426 -1.735
H8 0.000 -1.426 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39131.39132.16352.16351.07033.20053.2005
N21.39132.33501.33352.30712.16812.12453.3424
N31.39132.33502.30711.33352.16813.34242.1245
C42.16351.33352.30711.51803.18801.07192.3404
C52.16352.30711.33351.51803.18802.34041.0719
H61.07032.16812.16813.18803.18804.18594.1859
H73.20052.12453.34241.07192.34044.18592.8514
H83.20053.34242.12452.34041.07194.18592.8514

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 105.108 C1 N3 C5 105.108
N2 C1 N3 114.106 N2 C1 H6 122.947
N2 C4 C5 107.839 N2 C4 H7 123.702
N3 C1 H6 122.947 N3 C5 C4 107.839
N3 C5 H8 123.702 C4 C5 H8 128.460
C5 C4 H7 128.460
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.332      
2 N 0.040      
3 N 0.040      
4 C -0.255      
5 C -0.255      
6 H 0.247      
7 H 0.257      
8 H 0.257      


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 -2.379 2.379
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.888 0.000 0.000
y 0.000 -37.325 0.000
z 0.000 0.000 -22.092
Traceless
 xyz
x -0.180 0.000 0.000
y 0.000 -11.335 0.000
z 0.000 0.000 11.515
Polar
3z2-r223.030
x2-y27.437
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.882 0.000 0.000
y 0.000 5.214 0.000
z 0.000 0.000 6.562


<r2> (average value of r2) Å2
<r2> 64.686
(<r2>)1/2 8.043