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

using model chemistry: M06-2X/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 M06-2X/6-311G*
 hartrees
Energy at 0K-225.512983
Energy at 298.15K-225.517465
HF Energy-225.512983
Nuclear repulsion energy153.621386
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 M06-2X/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3263 3263 0.10      
2 A1 3257 3257 13.87      
3 A1 1493 1493 29.48      
4 A1 1336 1336 62.78      
5 A1 1189 1189 35.25      
6 A1 1006 1006 1.68      
7 A1 930 930 4.03      
8 A2 913 913 0.00      
9 A2 576 576 0.00      
10 B1 891 891 0.43      
11 B1 797 797 26.64      
12 B1 533 533 34.22      
13 B2 3246 3246 0.15      
14 B2 1572 1572 25.26      
15 B2 1302 1302 0.00      
16 B2 1204 1204 6.82      
17 B2 1033 1033 77.22      
18 B2 779 779 1.81      

Unscaled Zero Point Vibrational Energy (zpe) 12659.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12659.4 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 M06-2X/6-311G*
ABC
0.35895 0.30796 0.16575

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/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 1.161 0.369
N3 0.000 -1.161 0.369
C4 0.000 0.736 -0.870
C5 0.000 -0.736 -0.870
H6 0.000 0.000 2.171
H7 0.000 1.404 -1.722
H8 0.000 -1.404 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36701.36702.09402.09401.08113.14293.1429
N21.36702.32281.31072.26622.14392.10503.3095
N31.36702.32282.26621.31072.14393.30952.1050
C42.09401.31072.26621.47143.12941.08222.3027
C52.09402.26621.31071.47143.12942.30271.0822
H61.08112.14392.14393.12943.12944.13844.1384
H73.14292.10503.30951.08222.30274.13842.8076
H83.14293.30952.10502.30271.08224.13842.8076

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 102.875 C1 N3 C5 102.875
N2 C1 N3 116.344 N2 C1 H6 121.828
N2 C4 C5 108.953 N2 C4 H7 122.925
N3 C1 H6 121.828 N3 C5 C4 108.953
N3 C5 H8 122.925 C4 C5 H8 128.122
C5 C4 H7 128.122
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.070      
2 N -0.316      
3 N -0.316      
4 C -0.090      
5 C -0.090      
6 H 0.252      
7 H 0.246      
8 H 0.246      


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 -1.638 1.638
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.490 0.000 0.000
y 0.000 -34.496 0.000
z 0.000 0.000 -22.128
Traceless
 xyz
x -1.178 0.000 0.000
y 0.000 -8.687 0.000
z 0.000 0.000 9.865
Polar
3z2-r219.730
x2-y25.006
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.071 0.000 0.000
y 0.000 6.012 0.000
z 0.000 0.000 7.442


<r2> (average value of r2) Å2
<r2> 76.023
(<r2>)1/2 8.719