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

using model chemistry: M06-2X/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 M06-2X/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.204205
Energy at 298.15K 
HF Energy-226.204205
Nuclear repulsion energy163.998762
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/6-311+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' 3696 3696 80.47 103.93 0.22 0.37
2 A' 3302 3302 0.29 106.93 0.14 0.25
3 A' 3274 3274 2.52 75.82 0.48 0.65
4 A' 3268 3268 1.23 61.32 0.29 0.45
5 A' 1587 1587 14.52 1.87 0.03 0.05
6 A' 1529 1529 20.93 24.37 0.14 0.25
7 A' 1453 1453 16.51 12.87 0.28 0.44
8 A' 1392 1392 6.87 33.87 0.17 0.29
9 A' 1294 1294 0.45 8.66 0.11 0.19
10 A' 1189 1189 5.16 21.93 0.09 0.17
11 A' 1156 1156 3.50 9.54 0.40 0.57
12 A' 1107 1107 21.07 1.19 0.66 0.79
13 A' 1090 1090 34.36 2.58 0.74 0.85
14 A' 950 950 1.43 1.22 0.72 0.84
15 A' 911 911 6.38 0.61 0.62 0.77
16 A" 906 906 1.00 1.02 0.75 0.86
17 A" 859 859 27.25 0.56 0.75 0.86
18 A" 767 767 46.05 1.05 0.75 0.86
19 A" 688 688 5.81 0.11 0.75 0.86
20 A" 653 653 10.11 0.14 0.75 0.86
21 A" 551 551 95.43 0.19 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 15810.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15810.5 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/6-311+G(3df,2p)
ABC
0.32811 0.31712 0.16126

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.085 0.281 0.000
C3 1.113 0.297 0.000
N4 -0.739 -0.977 0.000
C5 0.633 -0.980 0.000
H6 -0.011 2.104 0.000
H7 -2.093 0.662 0.000
H8 2.110 0.698 0.000
H9 1.195 -1.898 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35821.37182.20342.17271.00512.13772.14783.2260
C21.35822.19761.30512.13072.11501.07753.22173.1534
C31.37182.19762.24761.36382.12813.22631.07472.1962
N42.20341.30512.24761.37163.16562.12603.30472.1415
C52.17272.13071.36381.37163.15003.18182.23521.0764
H61.00512.11502.12813.16563.15002.53182.54494.1794
H72.13771.07753.22632.12603.18182.53184.20274.1665
H82.14783.22171.07473.30472.23522.54494.20272.7523
H93.22603.15342.19622.14151.07644.17944.16652.7523

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 111.635 N1 C2 H7 122.300
N1 C3 C5 105.166 N1 C3 H8 122.314
C2 N1 C3 107.220 C2 N1 H6 126.360
C2 N4 C5 105.477 C3 N1 H6 126.420
C3 C5 N4 110.502 C3 C5 H9 127.928
N4 C2 H7 126.065 N4 C5 H9 121.570
C5 C3 H8 132.519
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.867      
2 C 0.674      
3 C 0.118      
4 N -0.984      
5 C 0.192      
6 H 0.241      
7 H 0.209      
8 H 0.214      
9 H 0.203      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.129 3.567 0.000 3.741
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.788 -3.351 0.000
y -3.351 -25.873 0.000
z 0.000 0.000 -32.235
Traceless
 xyz
x 2.266 -3.351 0.000
y -3.351 3.639 0.000
z 0.000 0.000 -5.905
Polar
3z2-r2-11.810
x2-y2-0.915
xy-3.351
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.229 -0.106 0.000
y -0.106 7.877 0.000
z 0.000 0.000 4.860


<r2> (average value of r2) Å2
<r2> 79.497
(<r2>)1/2 8.916