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

using model chemistry: B3PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31G**
 hartrees
Energy at 0K-225.474653
Energy at 298.15K-225.479080
HF Energy-225.474653
Nuclear repulsion energy153.138898
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 B3PW91/6-31G**
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 3255 3120 2.09      
2 A1 3247 3112 14.47      
3 A1 1475 1413 23.36      
4 A1 1325 1270 52.41      
5 A1 1180 1130 27.46      
6 A1 1002 961 2.72      
7 A1 918 880 3.57      
8 A2 883 846 0.00      
9 A2 563 539 0.00      
10 B1 873 837 0.28      
11 B1 758 727 20.60      
12 B1 512 491 29.31      
13 B2 3233 3099 1.84      
14 B2 1550 1486 18.64      
15 B2 1301 1247 0.01      
16 B2 1199 1149 5.75      
17 B2 1031 989 72.97      
18 B2 802 769 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12553.5 cm-1
Scaled (by 0.9584) Zero Point Vibrational Energy (zpe) 12031.2 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 B3PW91/6-31G**
ABC
0.35693 0.30596 0.16474

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
N2 0.000 1.167 0.372
N3 0.000 -1.167 0.372
C4 0.000 0.736 -0.873
C5 0.000 -0.736 -0.873
H6 0.000 0.000 2.176
H7 0.000 1.403 -1.728
H8 0.000 -1.403 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37081.37082.09762.09761.08433.14943.1494
N21.37082.33391.31772.27392.14812.11343.3193
N31.37082.33392.27391.31772.14813.31932.1134
C42.09761.31772.27391.47143.13621.08482.3037
C52.09762.27391.31771.47143.13622.30371.0848
H61.08432.14812.14813.13623.13624.14834.1483
H73.14942.11343.31931.08482.30374.14832.8069
H83.14943.31932.11342.30371.08484.14832.8069

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 102.543 C1 N3 C5 102.543
N2 C1 N3 116.707 N2 C1 H6 121.647
N2 C4 C5 109.103 N2 C4 H7 122.906
N3 C1 H6 121.647 N3 C5 C4 109.103
N3 C5 H8 122.906 C4 C5 H8 127.991
C5 C4 H7 127.991
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.240      
2 N -0.418      
3 N -0.418      
4 C 0.065      
5 C 0.065      
6 H 0.160      
7 H 0.153      
8 H 0.153      


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 -1.660 1.660
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.795 0.000 0.000
y 0.000 -33.857 0.000
z 0.000 0.000 -21.930
Traceless
 xyz
x -0.902 0.000 0.000
y 0.000 -8.494 0.000
z 0.000 0.000 9.396
Polar
3z2-r218.793
x2-y25.061
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.621 0.000 0.000
y 0.000 5.920 0.000
z 0.000 0.000 7.276


<r2> (average value of r2) Å2
<r2> 76.045
(<r2>)1/2 8.720