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

using model chemistry: wB97X-D/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-226.189565
Energy at 298.15K-226.195590
HF Energy-226.189565
Nuclear repulsion energy161.506082
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/cc-pVTZ
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 3213 3071 18.12      
2 A1 3071 2936 2.15      
3 A1 1593 1523 6.86      
4 A1 1408 1346 20.95      
5 A1 1347 1288 13.26      
6 A1 1025 980 1.00      
7 A1 975 932 1.04      
8 A1 857 819 5.96      
9 A2 1201 1148 0.00      
10 A2 1003 959 0.00      
11 A2 582 557 0.00      
12 B1 3107 2970 0.71      
13 B1 1034 988 28.16      
14 B1 850 813 1.01      
15 B1 392 374 30.59      
16 B2 3199 3058 8.27      
17 B2 1692 1617 0.50      
18 B2 1311 1253 2.36      
19 B2 1271 1215 0.41      
20 B2 1004 959 72.80      
21 B2 915 875 16.94      

Unscaled Zero Point Vibrational Energy (zpe) 15523.8 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 14840.7 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 wB97X-D/cc-pVTZ
ABC
0.32831 0.29239 0.15919

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.145
N2 0.000 1.090 0.284
N3 0.000 -1.090 0.284
C4 0.000 0.745 -0.912
C5 0.000 -0.745 -0.912
H6 -0.887 0.000 1.771
H7 0.887 0.000 1.771
H8 0.000 1.452 -1.722
H9 0.000 -1.452 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38901.38902.18722.18721.08591.08593.21353.2135
N21.38902.18051.24482.19042.04622.04622.03843.2387
N31.38902.18052.19041.24482.04622.04623.23872.0384
C42.18721.24482.19041.48982.92232.92231.07562.3419
C52.18722.19041.24481.48982.92232.92232.34191.0756
H61.08592.04622.04622.92232.92231.77393.88563.8856
H71.08592.04622.04622.92232.92231.77393.88563.8856
H83.21352.03843.23871.07562.34193.88563.88562.9049
H93.21353.23872.03842.34191.07563.88563.88562.9049

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 112.176 C1 N3 C5 112.176
N2 C1 N3 103.428 N2 C1 H6 110.945
N2 C1 H7 110.945 N2 C4 C5 106.110
N2 C4 H8 122.754 N3 C1 H6 110.945
N3 C1 H7 110.945 N3 C5 C4 106.110
N3 C5 H9 122.754 C4 C5 H9 131.136
C5 C4 H8 131.136 H6 C1 H7 109.528
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.051      
2 N -0.189      
3 N -0.189      
4 C -0.066      
5 C -0.066      
6 H 0.105      
7 H 0.105      
8 H 0.125      
9 H 0.125      


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 -1.238 1.238
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.737 0.000 0.000
y 0.000 -35.454 0.000
z 0.000 0.000 -22.987
Traceless
 xyz
x 0.484 0.000 0.000
y 0.000 -9.592 0.000
z 0.000 0.000 9.109
Polar
3z2-r218.217
x2-y26.717
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.247 0.000 0.000
y 0.000 5.877 0.000
z 0.000 0.000 8.225


<r2> (average value of r2) Å2
<r2> 80.773
(<r2>)1/2 8.987