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

using model chemistry: wB97X-D/6-311G*

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/6-311G*
 hartrees
Energy at 0K-226.090681
Energy at 298.15K-226.096723
HF Energy-226.090681
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/6-311G*
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 3249 3249 20.57      
2 A1 3090 3090 0.21      
3 A1 1741 1741 18.78      
4 A1 1439 1439 1.15      
5 A1 1407 1407 29.66      
6 A1 1271 1271 6.31      
7 A1 1049 1049 1.75      
8 A1 949 949 13.10      
9 A2 1172 1172 0.00      
10 A2 936 936 0.00      
11 A2 556 556 0.00      
12 B1 3134 3134 0.03      
13 B1 1020 1020 22.01      
14 B1 840 840 6.48      
15 B1 366 366 39.19      
16 B2 3233 3233 9.28      
17 B2 1815 1815 0.43      
18 B2 1421 1421 37.51      
19 B2 1264 1264 1.32      
20 B2 1100 1100 36.63      
21 B2 947 947 74.67      

Unscaled Zero Point Vibrational Energy (zpe) 15998.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15998.6 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/6-311G*
ABC
0.36284 0.30656 0.17161

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
N2 0.000 0.997 0.279
N3 0.000 -0.997 0.279
C4 0.000 0.726 -0.941
C5 0.000 -0.726 -0.941
H6 -0.893 0.000 1.827
H7 0.893 0.000 1.827
H8 0.000 1.473 -1.725
H9 0.000 -1.473 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35491.35492.25852.25851.09321.09323.27283.2728
N21.35491.99331.25022.11152.04642.04642.06053.1810
N31.35491.99332.11151.25022.04642.04643.18102.0605
C42.25851.25022.11151.45262.99852.99851.08282.3351
C52.25852.11151.25021.45262.99852.99852.33511.0828
H61.09322.04642.04642.99852.99851.78663.94843.9484
H71.09322.04642.04642.99852.99851.78663.94843.9484
H83.27282.06053.18101.08282.33513.94843.94842.9466
H93.27283.18102.06052.33511.08283.94843.94842.9466

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 120.158 C1 N3 C5 120.158
N2 C1 N3 94.708 N2 C1 H6 112.985
N2 C1 H7 112.985 N2 C4 C5 102.488
N2 C4 H8 123.894 N3 C1 H6 112.985
N3 C1 H7 112.985 N3 C5 C4 102.488
N3 C5 H9 123.894 C4 C5 H9 133.618
C5 C4 H8 133.618 H6 C1 H7 109.606
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.232      
2 N -0.261      
3 N -0.261      
4 C -0.118      
5 C -0.118      
6 H 0.269      
7 H 0.269      
8 H 0.226      
9 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 -0.692 0.692
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.156 0.000 0.000
y 0.000 -34.816 0.000
z 0.000 0.000 -21.555
Traceless
 xyz
x 0.029 0.000 0.000
y 0.000 -9.961 0.000
z 0.000 0.000 9.932
Polar
3z2-r219.863
x2-y26.660
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.710 0.000 0.000
y 0.000 5.185 0.000
z 0.000 0.000 7.942


<r2> (average value of r2) Å2
<r2> 76.728
(<r2>)1/2 8.759