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

using model chemistry: ROHF/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 ROHF/6-311G*
 hartrees
Energy at 0K-224.247619
Energy at 298.15K-224.252265
HF Energy-224.247619
Nuclear repulsion energy154.505315
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 ROHF/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 3423 2929 8.58      
2 A1 3404 2912 18.53      
3 A1 1590 1360 25.43      
4 A1 1397 1195 73.61      
5 A1 1230 1052 24.82      
6 A1 1041 891 0.09      
7 A1 992 848 4.13      
8 A2 924 791 0.00      
9 A2 603 516 0.00      
10 B1 902 771 0.20      
11 B1 826 707 23.93      
12 B1 607 519 37.49      
13 B2 3391 2901 3.08      
14 B2 1644 1407 24.83      
15 B2 1403 1200 0.00      
16 B2 1238 1059 18.05      
17 B2 1122 960 46.81      
18 B2 894 765 4.23      

Unscaled Zero Point Vibrational Energy (zpe) 13314.5 cm-1
Scaled (by 0.8556) Zero Point Vibrational Energy (zpe) 11391.9 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 ROHF/6-311G*
ABC
0.36157 0.31222 0.16754

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.148 0.367
N3 0.000 -1.148 0.367
C4 0.000 0.739 -0.867
C5 0.000 -0.739 -0.867
H6 0.000 0.000 2.160
H7 0.000 1.403 -1.710
H8 0.000 -1.403 -1.710

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35651.35652.09152.09151.07063.13093.1309
N21.35652.29611.29982.25482.12932.09203.2891
N31.35652.29612.25481.29982.12933.28912.0920
C42.09151.29982.25481.47853.11611.07252.3018
C52.09152.25481.29981.47853.11612.30181.0725
H61.07062.12932.12933.11613.11614.11614.1161
H73.13092.09203.28911.07252.30184.11612.8055
H83.13093.28912.09202.30181.07254.11612.8055

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 103.859 C1 N3 C5 103.859
N2 C1 N3 115.620 N2 C1 H6 122.190
N2 C4 C5 108.331 N2 C4 H7 123.452
N3 C1 H6 122.190 N3 C5 C4 108.331
N3 C5 H8 123.452 C4 C5 H8 128.218
C5 C4 H7 128.218
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.104      
2 N -0.357      
3 N -0.357      
4 C -0.058      
5 C -0.058      
6 H 0.242      
7 H 0.242      
8 H 0.242      


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 -2.010 2.010
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.453 0.000 0.000
y 0.000 -34.786 0.000
z 0.000 0.000 -22.154
Traceless
 xyz
x -0.983 0.000 0.000
y 0.000 -8.982 0.000
z 0.000 0.000 9.965
Polar
3z2-r219.930
x2-y25.333
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 75.469
(<r2>)1/2 8.687