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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-225.516954
Energy at 298.15K-225.521381
HF Energy-225.516954
Nuclear repulsion energy153.407299
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 B3PW91/6-311G*
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 3243 3122 4.13      
2 A1 3230 3110 19.57      
3 A1 1463 1409 22.07      
4 A1 1322 1273 55.23      
5 A1 1178 1134 28.17      
6 A1 995 958 1.72      
7 A1 921 887 3.72      
8 A2 880 848 0.00      
9 A2 565 544 0.00      
10 B1 871 838 0.10      
11 B1 753 725 26.56      
12 B1 513 494 29.39      
13 B2 3216 3096 1.94      
14 B2 1543 1486 23.25      
15 B2 1295 1247 0.00      
16 B2 1194 1150 6.84      
17 B2 1027 989 75.49      
18 B2 798 768 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 12503.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 12036.7 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 B3PW91/6-311G*
ABC
0.35808 0.30709 0.16532

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.164 0.371
N3 0.000 -1.164 0.371
C4 0.000 0.735 -0.872
C5 0.000 -0.735 -0.872
H6 0.000 0.000 2.174
H7 0.000 1.407 -1.723
H8 0.000 -1.407 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36821.36822.09552.09551.08333.14563.1456
N21.36822.32721.31422.26942.14582.10763.3155
N31.36822.32722.26941.31422.14583.31552.1076
C42.09551.31422.26941.47103.13301.08422.3057
C52.09552.26941.31421.47103.13302.30571.0842
H61.08332.14582.14583.13303.13304.14284.1428
H73.14562.10763.31551.08422.30574.14282.8150
H83.14563.31552.10762.30571.08424.14282.8150

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 102.725 C1 N3 C5 102.725
N2 C1 N3 116.527 N2 C1 H6 121.737
N2 C4 C5 109.011 N2 C4 H7 122.690
N3 C1 H6 121.737 N3 C5 C4 109.011
N3 C5 H8 122.690 C4 C5 H8 128.299
C5 C4 H7 128.299
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.066      
2 N -0.293      
3 N -0.293      
4 C -0.086      
5 C -0.086      
6 H 0.235      
7 H 0.228      
8 H 0.228      


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 -1.661 1.661
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.177 0.000 0.000
y 0.000 -34.202 0.000
z 0.000 0.000 -22.076
Traceless
 xyz
x -1.037 0.000 0.000
y 0.000 -8.576 0.000
z 0.000 0.000 9.613
Polar
3z2-r219.227
x2-y25.026
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.093 0.000 0.000
y 0.000 6.107 0.000
z 0.000 0.000 7.405


<r2> (average value of r2) Å2
<r2> 76.039
(<r2>)1/2 8.720