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

using model chemistry: B3LYP/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/6-311G**
 hartrees
Energy at 0K-225.612061
Energy at 298.15K-225.616488
HF Energy-225.612061
Nuclear repulsion energy153.087286
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 B3LYP/6-311G**
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 3229 3121 2.43      
2 A1 3216 3109 13.30      
3 A1 1439 1391 19.73      
4 A1 1312 1269 51.41      
5 A1 1163 1125 28.88      
6 A1 980 948 1.95      
7 A1 919 889 3.08      
8 A2 886 856 0.00      
9 A2 566 547 0.00      
10 B1 873 844 0.13      
11 B1 758 733 24.90      
12 B1 514 497 29.59      
13 B2 3202 3096 1.13      
14 B2 1525 1475 20.67      
15 B2 1287 1244 0.01      
16 B2 1187 1148 7.17      
17 B2 1013 979 75.58      
18 B2 775 749 1.59      

Unscaled Zero Point Vibrational Energy (zpe) 12422.3 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 12009.9 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 B3LYP/6-311G**
ABC
0.35596 0.30617 0.16460

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.165 0.371
N3 0.000 -1.165 0.371
C4 0.000 0.738 -0.874
C5 0.000 -0.738 -0.874
H6 0.000 0.000 2.177
H7 0.000 1.406 -1.726
H8 0.000 -1.406 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37221.37222.10342.10341.08173.15243.1524
N21.37222.33041.31652.27382.14972.11053.3176
N31.37222.33042.27381.31652.14973.31762.1105
C42.10341.31652.27381.47503.13941.08262.3064
C52.10342.27381.31651.47503.13942.30641.0826
H61.08172.14972.14973.13943.13944.14874.1487
H73.15242.11053.31761.08262.30644.14872.8117
H83.15243.31762.11052.30641.08264.14872.8117

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 102.929 C1 N3 C5 102.929
N2 C1 N3 116.228 N2 C1 H6 121.886
N2 C4 C5 108.957 N2 C4 H7 122.918
N3 C1 H6 121.886 N3 C5 C4 108.957
N3 C5 H8 122.918 C4 C5 H8 128.124
C5 C4 H7 128.124
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.156      
2 N -0.277      
3 N -0.277      
4 C 0.011      
5 C 0.011      
6 H 0.129      
7 H 0.123      
8 H 0.123      


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 -1.632 1.632
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.187 0.000 0.000
y 0.000 -34.475 0.000
z 0.000 0.000 -22.376
Traceless
 xyz
x -0.761 0.000 0.000
y 0.000 -8.694 0.000
z 0.000 0.000 9.455
Polar
3z2-r218.910
x2-y25.288
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.139 0.000 0.000
y 0.000 6.142 0.000
z 0.000 0.000 7.515


<r2> (average value of r2) Å2
<r2> 76.397
(<r2>)1/2 8.741