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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at M06-2X/6-311G**
 hartrees
Energy at 0K-226.081281
Energy at 298.15K-226.087323
HF Energy-226.081281
Nuclear repulsion energy166.996873
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 A1 3216 3216 6.75      
2 A1 3100 3100 1.06      
3 A1 1753 1753 20.38      
4 A1 1428 1428 3.61      
5 A1 1396 1396 23.42      
6 A1 1258 1258 6.58      
7 A1 1037 1037 2.25      
8 A1 938 938 12.23      
9 A2 1160 1160 0.00      
10 A2 925 925 0.00      
11 A2 550 550 0.00      
12 B1 3143 3143 0.93      
13 B1 1012 1012 22.35      
14 B1 826 826 6.83      
15 B1 378 378 39.31      
16 B2 3202 3202 2.53      
17 B2 1822 1822 0.51      
18 B2 1405 1405 37.56      
19 B2 1243 1243 2.35      
20 B2 1090 1090 35.10      
21 B2 939 939 73.06      

Unscaled Zero Point Vibrational Energy (zpe) 15909.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15909.1 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
0.36180 0.30602 0.17122

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.279
N3 0.000 -0.997 0.279
C4 0.000 0.730 -0.942
C5 0.000 -0.730 -0.942
H6 -0.895 0.000 1.827
H7 0.895 0.000 1.827
H8 0.000 1.473 -1.727
H9 0.000 -1.473 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35741.35742.26232.26231.09291.09293.27683.2768
N21.35741.99381.24922.11412.04772.04772.06153.1819
N31.35741.99382.11411.24922.04772.04773.18192.0615
C42.26231.24922.11411.45913.00013.00011.08172.3386
C52.26232.11411.24921.45913.00013.00012.33861.0817
H61.09292.04772.04773.00013.00011.78943.95043.9504
H71.09292.04772.04773.00013.00011.78943.95043.9504
H83.27682.06153.18191.08172.33863.95043.95042.9463
H93.27683.18192.06152.33861.08173.95043.95042.9463

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 120.383 C1 N3 C5 120.383
N2 C1 N3 94.517 N2 C1 H6 112.939
N2 C1 H7 112.939 N2 C4 C5 102.359
N2 C4 H8 124.213 N3 C1 H6 112.939
N3 C1 H7 112.939 N3 C5 C4 102.359
N3 C5 H9 124.213 C4 C5 H9 133.429
C5 C4 H8 133.429 H6 C1 H7 109.904
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 C -0.019      
2 N -0.312      
3 N -0.312      
4 C -0.011      
5 C -0.011      
6 H 0.191      
7 H 0.191      
8 H 0.141      
9 H 0.141      


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 -0.672 0.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.347 0.000 0.000
y 0.000 -34.969 0.000
z 0.000 0.000 -21.711
Traceless
 xyz
x -0.007 0.000 0.000
y 0.000 -9.940 0.000
z 0.000 0.000 9.947
Polar
3z2-r219.894
x2-y26.622
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.741 0.000 0.000
y 0.000 5.239 0.000
z 0.000 0.000 7.999


<r2> (average value of r2) Å2
<r2> 76.953
(<r2>)1/2 8.772