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

using model chemistry: LSDA/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 LSDA/6-311G*
 hartrees
Energy at 0K-224.349725
Energy at 298.15K-224.354017
HF Energy-224.349725
Nuclear repulsion energy153.674385
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 LSDA/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 3150 3098 0.58      
2 A1 3142 3091 11.56      
3 A1 1446 1423 30.60      
4 A1 1290 1269 46.97      
5 A1 1185 1166 21.79      
6 A1 978 962 1.41      
7 A1 901 887 4.98      
8 A2 849 835 0.00      
9 A2 546 537 0.00      
10 B1 852 838 0.02      
11 B1 680 669 37.08      
12 B1 433 426 19.86      
13 B2 3129 3078 0.28      
14 B2 1508 1484 19.12      
15 B2 1248 1228 0.35      
16 B2 1171 1152 0.68      
17 B2 1027 1010 99.19      
18 B2 814 801 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 12174.0 cm-1
Scaled (by 0.9837) Zero Point Vibrational Energy (zpe) 11975.6 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 LSDA/6-311G*
ABC
0.35865 0.30916 0.16604

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.087
N2 0.000 1.159 0.371
N3 0.000 -1.159 0.371
C4 0.000 0.732 -0.870
C5 0.000 -0.732 -0.870
H6 0.000 0.000 2.181
H7 0.000 1.413 -1.726
H8 0.000 -1.413 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36271.36272.09022.09021.09353.14863.1486
N21.36272.31841.31282.26242.14932.11273.3190
N31.36272.31842.26241.31282.14933.31902.1127
C42.09021.31282.26241.46443.13791.09372.3097
C52.09022.26241.31281.46443.13792.30971.0937
H61.09352.14932.14933.13793.13794.15504.1550
H73.14862.11273.31901.09372.30974.15502.8261
H83.14863.31902.11272.30971.09374.15502.8261

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 102.733 C1 N3 C5 102.733
N2 C1 N3 116.570 N2 C1 H6 121.715
N2 C4 C5 108.982 N2 C4 H7 122.520
N3 C1 H6 121.715 N3 C5 C4 108.982
N3 C5 H8 122.520 C4 C5 H8 128.498
C5 C4 H7 128.498
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.001      
2 N -0.244      
3 N -0.244      
4 C -0.127      
5 C -0.127      
6 H 0.252      
7 H 0.244      
8 H 0.244      


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 -1.578 1.578
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.422 0.000 0.000
y 0.000 -34.222 0.000
z 0.000 0.000 -22.304
Traceless
 xyz
x -1.159 0.000 0.000
y 0.000 -8.359 0.000
z 0.000 0.000 9.519
Polar
3z2-r219.037
x2-y24.800
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 6.244 0.000
z 0.000 0.000 7.559


<r2> (average value of r2) Å2
<r2> 75.964
(<r2>)1/2 8.716