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

using model chemistry: B2PLYP/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 B2PLYP/6-31G
 hartrees
Energy at 0K-225.153737
Energy at 298.15K-225.158029
HF Energy-224.994301
Nuclear repulsion energy150.802748
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 B2PLYP/6-31G
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 3341 3341 0.79      
2 A1 3315 3315 3.87      
3 A1 1387 1387 3.22      
4 A1 1309 1309 51.57      
5 A1 1121 1121 38.97      
6 A1 986 986 10.70      
7 A1 903 903 0.21      
8 A2 876 876 0.00      
9 A2 573 573 0.00      
10 B1 839 839 0.65      
11 B1 778 778 34.12      
12 B1 516 516 36.67      
13 B2 3301 3301 0.82      
14 B2 1496 1496 2.93      
15 B2 1300 1300 0.00      
16 B2 1192 1192 11.20      
17 B2 959 959 49.92      
18 B2 573 573 9.22      

Unscaled Zero Point Vibrational Energy (zpe) 12381.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 12381.3 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 B2PLYP/6-31G
ABC
0.34179 0.29972 0.15969

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.129
N2 0.000 1.181 0.373
N3 0.000 -1.181 0.373
C4 0.000 0.742 -0.893
C5 0.000 -0.742 -0.893
H6 0.000 0.000 2.206
H7 0.000 1.407 -1.742
H8 0.000 -1.407 -1.742

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.40241.40242.15382.15381.07693.19743.1974
N21.40242.36171.33972.30172.18072.12673.3422
N31.40242.36172.30171.33972.18073.34222.1267
C42.15381.33972.30171.48323.18651.07892.3105
C52.15382.30171.33971.48323.18652.31051.0789
H61.07692.18072.18073.18653.18654.19134.1913
H73.19742.12673.34221.07892.31054.19132.8146
H83.19743.34222.12672.31051.07894.19132.8146

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 103.501 C1 N3 C5 103.501
N2 C1 N3 114.715 N2 C1 H6 122.643
N2 C4 C5 109.142 N2 C4 H7 122.757
N3 C1 H6 122.643 N3 C5 C4 109.142
N3 C5 H8 122.757 C4 C5 H8 128.101
C5 C4 H7 128.101
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.152      
2 N -0.376      
3 N -0.376      
4 C 0.010      
5 C 0.010      
6 H 0.200      
7 H 0.190      
8 H 0.190      


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 -1.774 1.774
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.491 0.000 0.000
y 0.000 -36.020 0.000
z 0.000 0.000 -22.197
Traceless
 xyz
x -0.383 0.000 0.000
y 0.000 -10.175 0.000
z 0.000 0.000 10.559
Polar
3z2-r221.117
x2-y26.528
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.349 0.000 0.000
y 0.000 5.807 0.000
z 0.000 0.000 7.333


<r2> (average value of r2) Å2
<r2> 78.440
(<r2>)1/2 8.857