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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: wB97X-D/CEP-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/CEP-31G*
 hartrees
Energy at 0K-39.061102
Energy at 298.15K-39.067050
HF Energy-39.061102
Nuclear repulsion energy 
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 wB97X-D/CEP-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 3256 3256 25.84      
2 A1 3108 3108 4.88      
3 A1 1744 1744 22.97      
4 A1 1438 1438 0.07      
5 A1 1398 1398 29.53      
6 A1 1271 1271 3.43      
7 A1 1048 1048 0.09      
8 A1 924 924 19.37      
9 A2 1164 1164 0.00      
10 A2 924 924 0.00      
11 A2 538 538 0.00      
12 B1 3156 3156 2.70      
13 B1 1010 1010 23.21      
14 B1 837 837 9.73      
15 B1 328 328 40.15      
16 B2 3237 3237 10.21      
17 B2 1807 1807 0.76      
18 B2 1416 1416 43.54      
19 B2 1252 1252 4.03      
20 B2 1096 1096 40.69      
21 B2 910 910 71.12      

Unscaled Zero Point Vibrational Energy (zpe) 15930.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15930.6 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 wB97X-D/CEP-31G*
ABC
0.35787 0.29899 0.16822

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.213
N2 0.000 0.998 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.738 -0.955
C5 0.000 -0.738 -0.955
H6 -0.901 0.000 1.845
H7 0.901 0.000 1.845
H8 0.000 1.497 -1.738
H9 0.000 -1.497 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36391.36392.29042.29041.10061.10063.30913.3091
N21.36391.99511.26492.13222.06092.06092.08193.2105
N31.36391.99512.13221.26492.06092.06093.21052.0819
C42.29041.26492.13221.47673.03283.03281.09022.3685
C52.29042.13221.26491.47673.03283.03282.36851.0902
H61.10062.06092.06093.03283.03281.80213.98653.9865
H71.10062.06092.06093.03283.03281.80213.98653.9865
H83.30912.08193.21051.09022.36853.98653.98652.9939
H93.30913.21052.08192.36851.09023.98653.98652.9939

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 121.171 C1 N3 C5 121.171
N2 C1 N3 94.009 N2 C1 H6 113.055
N2 C1 H7 113.055 N2 C4 C5 101.825
N2 C4 H8 124.081 N3 C1 H6 113.055
N3 C1 H7 113.055 N3 C5 C4 101.825
N3 C5 H9 124.081 C4 C5 H9 134.094
C5 C4 H8 134.094 H6 C1 H7 109.905
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.715      
2 N 0.322      
3 N 0.322      
4 C -0.486      
5 C -0.486      
6 H 0.239      
7 H 0.239      
8 H 0.282      
9 H 0.282      


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 -0.795 0.795
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.956 0.000 0.000
y 0.000 -35.007 0.000
z 0.000 0.000 -20.835
Traceless
 xyz
x -0.035 0.000 0.000
y 0.000 -10.612 0.000
z 0.000 0.000 10.646
Polar
3z2-r221.293
x2-y27.051
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.581 0.000 0.000
y 0.000 5.252 0.000
z 0.000 0.000 7.920


<r2> (average value of r2) Å2
<r2> 64.700
(<r2>)1/2 8.044