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

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-225.304122
Energy at 298.15K-225.308410
HF Energy-225.304122
Nuclear repulsion energy151.863357
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 PBEPBE/6-31+G**
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 3180 3143 1.73      
2 A1 3169 3133 11.73      
3 A1 1407 1391 20.77      
4 A1 1278 1263 47.89      
5 A1 1139 1126 23.69      
6 A1 965 954 1.78      
7 A1 883 873 2.08      
8 A2 839 829 0.00      
9 A2 536 530 0.00      
10 B1 842 832 0.00      
11 B1 709 701 30.68      
12 B1 469 464 24.58      
13 B2 3156 3120 0.86      
14 B2 1482 1465 22.47      
15 B2 1252 1238 0.01      
16 B2 1162 1149 3.98      
17 B2 993 981 74.73      
18 B2 778 769 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 12117.5 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 11979.3 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 PBEPBE/6-31+G**
ABC
0.35102 0.30093 0.16203

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.100
N2 0.000 1.178 0.376
N3 0.000 -1.178 0.376
C4 0.000 0.740 -0.881
C5 0.000 -0.740 -0.881
H6 0.000 0.000 2.192
H7 0.000 1.415 -1.740
H8 0.000 -1.415 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38271.38272.11482.11481.09203.17353.1735
N21.38272.35521.33052.29272.16492.12923.3465
N31.38272.35522.29271.33052.16493.34652.1292
C42.11481.33052.29271.48023.16101.09282.3202
C52.11482.29271.33051.48023.16102.32021.0928
H61.09202.16492.16493.16103.16104.17944.1794
H73.17352.12923.34651.09282.32024.17942.8302
H83.17353.34652.12922.32021.09284.17942.8302

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 102.408 C1 N3 C5 102.408
N2 C1 N3 116.790 N2 C1 H6 121.605
N2 C4 C5 109.197 N2 C4 H7 122.655
N3 C1 H6 121.605 N3 C5 C4 109.197
N3 C5 H8 122.655 C4 C5 H8 128.148
C5 C4 H7 128.148
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.012      
2 N -0.208      
3 N -0.208      
4 C -0.036      
5 C -0.036      
6 H 0.166      
7 H 0.166      
8 H 0.166      


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 -1.694 1.694
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.827 0.000 0.000
y 0.000 -35.313 0.000
z 0.000 0.000 -22.665
Traceless
 xyz
x -0.838 0.000 0.000
y 0.000 -9.067 0.000
z 0.000 0.000 9.905
Polar
3z2-r219.809
x2-y25.486
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.159 0.000 0.000
y 0.000 7.506 0.000
z 0.000 0.000 8.230


<r2> (average value of r2) Å2
<r2> 77.685
(<r2>)1/2 8.814