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

using model chemistry: HF/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 HF/6-311G**
 hartrees
Energy at 0K-224.253109
Energy at 298.15K-224.257767
HF Energy-224.253109
Nuclear repulsion energy154.470977
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/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 3401 3089 5.91      
2 A1 3381 3072 12.23      
3 A1 1585 1440 25.64      
4 A1 1392 1264 72.08      
5 A1 1228 1116 24.13      
6 A1 1038 943 0.09      
7 A1 989 899 4.33      
8 A2 929 844 0.00      
9 A2 601 546 0.00      
10 B1 908 825 0.14      
11 B1 832 756 23.87      
12 B1 606 551 38.00      
13 B2 3368 3060 1.67      
14 B2 1637 1487 22.92      
15 B2 1394 1266 0.01      
16 B2 1234 1121 18.73      
17 B2 1120 1018 46.40      
18 B2 892 810 4.45      

Unscaled Zero Point Vibrational Energy (zpe) 13267.0 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 12053.0 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/6-311G**
ABC
0.36118 0.31227 0.16747

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/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 1.148 0.367
N3 0.000 -1.148 0.367
C4 0.000 0.739 -0.868
C5 0.000 -0.739 -0.868
H6 0.000 0.000 2.161
H7 0.000 1.402 -1.712
H8 0.000 -1.402 -1.712

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35691.35692.09262.09261.07103.13283.1328
N21.35692.29571.29992.25502.13022.09363.2894
N31.35692.29572.25501.29992.13023.28942.0936
C42.09261.29992.25501.47893.11761.07302.3017
C52.09262.25501.29991.47893.11762.30171.0730
H61.07102.13022.13023.11763.11764.11864.1186
H73.13282.09363.28941.07302.30174.11862.8039
H83.13283.28942.09362.30171.07304.11862.8039

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 103.912 C1 N3 C5 103.912
N2 C1 N3 115.552 N2 C1 H6 122.224
N2 C4 C5 108.312 N2 C4 H7 123.559
N3 C1 H6 122.224 N3 C5 C4 108.312
N3 C5 H8 123.559 C4 C5 H8 128.129
C5 C4 H7 128.129
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.227      
2 N -0.359      
3 N -0.359      
4 C 0.059      
5 C 0.059      
6 H 0.124      
7 H 0.125      
8 H 0.125      


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 -2.006 2.006
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.358 0.000 0.000
y 0.000 -34.807 0.000
z 0.000 0.000 -22.163
Traceless
 xyz
x -0.873 0.000 0.000
y 0.000 -9.046 0.000
z 0.000 0.000 9.919
Polar
3z2-r219.838
x2-y25.449
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.079 0.000 0.000
y 0.000 5.518 0.000
z 0.000 0.000 6.847


<r2> (average value of r2) Å2
<r2> 75.483
(<r2>)1/2 8.688