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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: PBEPBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.025733
Energy at 298.15K 
HF Energy-226.025733
Nuclear repulsion energy162.720272
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 PBEPBE/6-311+G(3df,2p)
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' 873 865 8.07      
2 A' 915 908 1.45      
3 A' 1049 1040 28.05      
4 A' 1069 1060 23.15      
5 A' 1114 1105 3.58      
6 A' 1147 1137 3.46      
7 A' 1241 1231 0.35      
8 A' 1330 1319 5.57      
9 A' 1389 1378 11.68      
10 A' 1457 1445 17.05      
11 A' 1506 1494 8.78      
12 A' 3170 3144 4.01      
13 A' 3174 3148 0.83      
14 A' 3200 3174 1.38      
15 A' 3567 3537 38.76      
16 A" 524 519 80.51      
17 A" 630 624 12.23      
18 A" 664 658 2.52      
19 A" 702 696 34.43      
20 A" 774 768 42.25      
21 A" 836 829 5.39      

Unscaled Zero Point Vibrational Energy (zpe) 15164.4 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 15040.0 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 PBEPBE/6-311+G(3df,2p)
ABC
0.32380 0.31152 0.15877

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.742 -0.989 0.000
H2 -0.007 2.120 0.000
C3 1.121 0.302 0.000
H4 2.124 0.712 0.000
C5 0.637 -0.987 0.000
H6 1.204 -1.912 0.000
H7 -2.110 0.666 0.000
C8 -1.094 0.284 0.000
N9 0.000 1.106 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.19462.26633.33261.37852.15372.14751.32022.2226
H23.19462.13932.55423.17244.20982.55672.13401.0138
C32.26632.13931.08381.37642.21553.25132.21461.3796
H43.33262.55421.08382.25762.78044.23443.24632.1605
C51.37853.17241.37642.25761.08563.20562.14642.1874
H62.15374.20982.21552.78041.08564.19883.17803.2495
H72.14752.55673.25134.23443.20564.19881.08602.1553
C81.32022.13402.21463.24632.14643.17801.08601.3686
N92.22261.01381.37962.16052.18743.24952.15531.3686

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 69.846 N1 C2 H7 42.047
N1 C3 C5 34.680 N1 C3 H8 34.245
C2 N1 C3 41.974 C2 N1 H6 102.076
C2 N4 C5 82.241 C3 N1 H6 60.102
C3 C5 N4 20.619 C3 C5 H9 37.519
N4 C2 H7 111.893 N4 C5 H9 58.138
C5 C3 H8 68.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.917      
2 H 0.142      
3 C 0.172      
4 H 0.147      
5 C 0.208      
6 H 0.138      
7 H 0.146      
8 C 0.707      
9 N -0.741      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.125 3.510 0.000 3.686
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.176 -3.297 0.000
y -3.297 -26.106 0.000
z 0.000 0.000 -32.185
Traceless
 xyz
x 1.970 -3.297 0.000
y -3.297 3.574 0.000
z 0.000 0.000 -5.544
Polar
3z2-r2-11.088
x2-y2-1.070
xy-3.297
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.831 -0.027 0.000
y -0.027 8.443 0.000
z 0.000 0.000 5.111


<r2> (average value of r2) Å2
<r2> 80.587
(<r2>)1/2 8.977