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

using model chemistry: M06-2X/6-31G

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/6-31G
 hartrees
Energy at 0K-225.365628
Energy at 298.15K-225.370038
HF Energy-225.365628
Nuclear repulsion energy151.734789
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/6-31G
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 3337 3337 0.03      
2 A1 3325 3325 1.43      
3 A1 1439 1439 19.68      
4 A1 1321 1321 57.67      
5 A1 1155 1155 47.79      
6 A1 996 996 8.86      
7 A1 921 921 0.79      
8 A2 922 922 0.00      
9 A2 581 581 0.00      
10 B1 869 869 0.98      
11 B1 805 805 38.21      
12 B1 524 524 38.34      
13 B2 3314 3314 0.02      
14 B2 1521 1521 3.29      
15 B2 1295 1295 0.02      
16 B2 1196 1196 9.11      
17 B2 983 983 59.10      
18 B2 680 680 12.06      

Unscaled Zero Point Vibrational Energy (zpe) 12591.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12591.7 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/6-31G
ABC
0.34571 0.30371 0.16167

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.123
N2 0.000 1.170 0.370
N3 0.000 -1.170 0.370
C4 0.000 0.741 -0.887
C5 0.000 -0.741 -0.887
H6 0.000 0.000 2.199
H7 0.000 1.406 -1.735
H8 0.000 -1.406 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.39121.39122.14202.14201.07593.18493.1849
N21.39122.34021.32842.28752.17082.11833.3269
N31.39122.34022.28751.32842.17083.32692.1183
C42.14201.32842.28751.48203.17341.07772.3085
C52.14202.28751.32841.48203.17342.30851.0777
H61.07592.17082.17083.17343.17344.17734.1773
H73.18492.11833.32691.07772.30854.17732.8123
H83.18493.32692.11832.30851.07774.17732.8123

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 103.904 C1 N3 C5 103.904
N2 C1 N3 114.504 N2 C1 H6 122.748
N2 C4 C5 108.844 N2 C4 H7 123.044
N3 C1 H6 122.748 N3 C5 C4 108.844
N3 C5 H8 123.044 C4 C5 H8 128.112
C5 C4 H7 128.112
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.143      
2 N -0.383      
3 N -0.383      
4 C -0.010      
5 C -0.010      
6 H 0.222      
7 H 0.211      
8 H 0.211      


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 -1.773 1.773
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.468 0.000 0.000
y 0.000 -35.875 0.000
z 0.000 0.000 -21.858
Traceless
 xyz
x -0.601 0.000 0.000
y 0.000 -10.212 0.000
z 0.000 0.000 10.814
Polar
3z2-r221.627
x2-y26.407
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.360 0.000 0.000
y 0.000 5.686 0.000
z 0.000 0.000 7.314


<r2> (average value of r2) Å2
<r2> 77.643
(<r2>)1/2 8.812