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

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-224.282463
Energy at 298.15K-224.286735
HF Energy-224.282463
Nuclear repulsion energy150.780446
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 B3LYP/3-21G
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 3301 3185 1.18      
2 A1 3279 3164 3.61      
3 A1 1338 1291 4.46      
4 A1 1289 1244 38.90      
5 A1 1104 1065 48.63      
6 A1 922 889 6.16      
7 A1 881 850 0.59      
8 A2 905 874 0.00      
9 A2 580 560 0.00      
10 B1 854 824 0.01      
11 B1 774 747 46.52      
12 B1 510 492 28.71      
13 B2 3264 3150 1.81      
14 B2 1448 1397 0.61      
15 B2 1283 1238 0.01      
16 B2 1168 1127 6.57      
17 B2 948 914 50.05      
18 B2 564 544 16.64      

Unscaled Zero Point Vibrational Energy (zpe) 12205.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 11777.3 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 B3LYP/3-21G
ABC
0.34289 0.29826 0.15951

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.129
N2 0.000 1.182 0.371
N3 0.000 -1.182 0.371
C4 0.000 0.748 -0.890
C5 0.000 -0.748 -0.890
H6 0.000 0.000 2.205
H7 0.000 1.405 -1.744
H8 0.000 -1.405 -1.744

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.40411.40412.15292.15291.07633.19833.1983
N21.40412.36381.33352.30502.18212.12673.3417
N31.40412.36382.30501.33352.18213.34172.1267
C42.15291.33352.30501.49543.18421.07802.3163
C52.15292.30501.33351.49543.18422.31631.0780
H61.07632.18212.18213.18423.18424.19194.1919
H73.19832.12673.34171.07802.31634.19192.8107
H83.19833.34172.12672.31631.07804.19192.8107

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 103.673 C1 N3 C5 103.673
N2 C1 N3 114.647 N2 C1 H6 122.676
N2 C4 C5 109.004 N2 C4 H7 123.402
N3 C1 H6 122.676 N3 C5 C4 109.004
N3 C5 H8 123.402 C4 C5 H8 127.595
C5 C4 H7 127.595
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.205      
2 N -0.479      
3 N -0.479      
4 C 0.028      
5 C 0.028      
6 H 0.244      
7 H 0.226      
8 H 0.226      


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 -1.568 1.568
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.502 0.000 0.000
y 0.000 -34.667 0.000
z 0.000 0.000 -21.902
Traceless
 xyz
x -1.218 0.000 0.000
y 0.000 -8.965 0.000
z 0.000 0.000 10.183
Polar
3z2-r220.366
x2-y25.164
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.039 0.000 0.000
y 0.000 5.287 0.000
z 0.000 0.000 6.971


<r2> (average value of r2) Å2
<r2> 78.158
(<r2>)1/2 8.841