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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: M06-2X/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-226.152265
Energy at 298.15K-226.158202
HF Energy-226.152265
Nuclear repulsion energy161.184235
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 M06-2X/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3223 3223 8.11      
2 A' 3209 3209 5.36      
3 A' 3058 3058 0.63      
4 A' 1704 1704 50.37      
5 A' 1604 1604 13.92      
6 A' 1407 1407 21.77      
7 A' 1331 1331 31.70      
8 A' 1314 1314 4.57      
9 A' 1263 1263 6.15      
10 A' 1049 1049 58.59      
11 A' 1022 1022 19.47      
12 A' 950 950 3.27      
13 A' 893 893 3.31      
14 A' 887 887 13.36      
15 A" 3098 3098 0.18      
16 A" 1166 1166 0.31      
17 A" 1018 1018 16.17      
18 A" 982 982 0.81      
19 A" 760 760 5.83      
20 A" 570 570 24.04      
21 A" 353 353 7.62      

Unscaled Zero Point Vibrational Energy (zpe) 15430.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15430.0 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 M06-2X/6-311G**
ABC
0.32299 0.29446 0.15857

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.350 0.000
C2 0.000 1.132 0.000
N3 1.110 0.507 0.000
C4 0.735 -0.896 0.000
C5 -0.763 -0.853 0.000
H6 -0.079 2.213 0.000
H7 1.142 -1.402 0.881
H8 1.142 -1.402 -0.881
H9 -1.430 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42952.31242.29861.27942.17193.05283.05282.0728
C21.42951.27422.15712.12721.08322.91642.91643.1809
N32.31241.27421.45252.31542.07912.10342.10343.3711
C42.29862.15711.45251.49853.21321.09511.09512.3121
C51.27942.12722.31541.49853.14132.16992.16991.0848
H62.17191.08322.07913.21323.14133.91613.91614.1479
H73.05282.91642.10341.09512.16993.91611.76242.7358
H83.05282.91642.10341.09512.16993.91611.76242.7358
H92.07283.18093.37112.31211.08484.14792.73582.7358

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 117.467 N1 C2 H6 118.978
N1 C5 C4 111.434 N1 C5 H9 122.295
C2 N1 C5 103.352 C2 N3 C4 104.386
N3 C2 H6 123.555 N3 C4 C5 103.360
N3 C4 H7 110.525 N3 C4 H8 110.525
C4 C5 H9 126.271 C5 C4 H7 112.652
C5 C4 H8 112.652 H7 C4 H8 107.160
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.304      
2 C 0.140      
3 N -0.303      
4 C -0.215      
5 C 0.018      
6 H 0.145      
7 H 0.187      
8 H 0.187      
9 H 0.147      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.051 -2.085 0.000 2.085
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.220 -0.644 0.000
y -0.644 -23.844 0.000
z 0.000 0.000 -28.949
Traceless
 xyz
x -8.824 -0.644 0.000
y -0.644 8.241 0.000
z 0.000 0.000 0.583
Polar
3z2-r21.165
x2-y2-11.376
xy-0.644
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.290 -0.391 0.000
y -0.391 7.400 0.000
z 0.000 0.000 3.824


<r2> (average value of r2) Å2
<r2> 81.212
(<r2>)1/2 9.012