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All results from a given calculation for C3H4N2 (4H-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 CS 1A'
Energy calculated at wB97X-D/CEP-31G*
 hartrees
Energy at 0K-39.140193
Energy at 298.15K-39.146097
HF Energy-39.140193
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 A' 3251 3251 21.95      
2 A' 3229 3229 22.74      
3 A' 3089 3089 8.93      
4 A' 1680 1680 61.17      
5 A' 1587 1587 19.13      
6 A' 1428 1428 18.92      
7 A' 1339 1339 28.91      
8 A' 1325 1325 12.22      
9 A' 1270 1270 7.57      
10 A' 1060 1060 60.04      
11 A' 1032 1032 24.70      
12 A' 949 949 2.77      
13 A' 880 880 3.67      
14 A' 869 869 11.78      
15 A" 3133 3133 9.79      
16 A" 1169 1169 0.00      
17 A" 1015 1015 19.63      
18 A" 983 983 0.10      
19 A" 760 760 7.86      
20 A" 562 562 25.10      
21 A" 363 363 8.04      

Unscaled Zero Point Vibrational Energy (zpe) 15486.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15486.4 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
0.31736 0.28784 0.15537

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.209 0.363 0.000
C2 0.000 1.139 0.000
N3 1.128 0.506 0.000
C4 0.742 -0.906 0.000
C5 -0.774 -0.859 0.000
H6 -0.072 2.228 0.000
H7 1.144 -1.421 0.889
H8 1.144 -1.421 -0.889
H9 -1.451 -1.716 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43682.34152.32771.29732.18463.08383.08382.0937
C21.43681.29342.17542.14241.09182.94112.94113.2029
N32.34151.29341.46362.34062.09922.12172.12173.4042
C42.32772.17541.46361.51653.23831.10301.10302.3378
C51.29732.14242.34061.51653.16602.18712.18711.0927
H62.18461.09182.09923.23833.16603.94763.94764.1789
H73.08382.94112.12171.10302.18713.94761.77802.7588
H83.08382.94112.12171.10302.18713.94761.77802.7588
H92.09373.20293.40422.33781.09274.17892.75882.7588

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 118.013 N1 C2 H6 118.897
N1 C5 C4 111.399 N1 C5 H9 122.093
C2 N1 C5 103.062 C2 N3 C4 104.021
N3 C2 H6 123.090 N3 C4 C5 103.505
N3 C4 H7 110.727 N3 C4 H8 110.727
C4 C5 H9 126.507 C5 C4 H7 112.258
C5 C4 H8 112.258 H7 C4 H8 107.404
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 N 0.169      
2 C -0.556      
3 N 0.131      
4 C -0.209      
5 C -0.434      
6 H 0.260      
7 H 0.182      
8 H 0.182      
9 H 0.276      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.026 -2.267 0.000 2.267
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.263 -0.577 0.000
y -0.577 -23.018 0.000
z 0.000 0.000 -28.527
Traceless
 xyz
x -9.491 -0.577 0.000
y -0.577 8.877 0.000
z 0.000 0.000 0.614
Polar
3z2-r21.228
x2-y2-12.245
xy-0.577
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.406 -0.380 0.000
y -0.380 7.244 0.000
z 0.000 0.000 3.739


<r2> (average value of r2) Å2
<r2> 67.959
(<r2>)1/2 8.244