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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-226.076371
Energy at 298.15K-226.082406
HF Energy-226.076371
Nuclear repulsion energy167.014636
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 3226 3226 10.65      
2 A1 3114 3114 0.24      
3 A1 1756 1756 21.47      
4 A1 1438 1438 5.92      
5 A1 1405 1405 19.21      
6 A1 1261 1261 6.11      
7 A1 1039 1039 2.39      
8 A1 938 938 12.13      
9 A2 1171 1171 0.00      
10 A2 916 916 0.00      
11 A2 550 550 0.00      
12 B1 3157 3157 0.30      
13 B1 1020 1020 20.66      
14 B1 821 821 8.40      
15 B1 381 381 39.03      
16 B2 3211 3211 4.30      
17 B2 1824 1824 0.56      
18 B2 1411 1411 39.09      
19 B2 1250 1250 2.84      
20 B2 1094 1094 34.81      
21 B2 940 940 73.01      

Unscaled Zero Point Vibrational Energy (zpe) 15961.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15961.6 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
0.36172 0.30620 0.17126

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 1.199
N2 0.000 0.997 0.278
N3 0.000 -0.997 0.278
C4 0.000 0.730 -0.941
C5 0.000 -0.730 -0.941
H6 -0.894 0.000 1.827
H7 0.894 0.000 1.827
H8 0.000 1.475 -1.726
H9 0.000 -1.475 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35721.35722.26182.26181.09291.09293.27623.2762
N21.35721.99371.24892.11392.04762.04762.06073.1825
N31.35721.99372.11391.24892.04762.04763.18252.0607
C42.26181.24892.11391.45912.99982.99981.08222.3401
C52.26182.11391.24891.45912.99982.99982.34011.0822
H61.09292.04762.04762.99982.99981.78893.94993.9499
H71.09292.04762.04762.99982.99981.78893.94993.9499
H83.27622.06073.18251.08222.34013.94993.94992.9503
H93.27623.18252.06072.34011.08223.94993.94992.9503

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 120.373 C1 N3 C5 120.373
N2 C1 N3 94.535 N2 C1 H6 112.949
N2 C1 H7 112.949 N2 C4 C5 102.360
N2 C4 H8 124.095 N3 C1 H6 112.949
N3 C1 H7 112.949 N3 C5 C4 102.360
N3 C5 H9 124.095 C4 C5 H9 133.545
C5 C4 H8 133.545 H6 C1 H7 109.857
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 -0.249      
2 N -0.286      
3 N -0.286      
4 C -0.108      
5 C -0.108      
6 H 0.280      
7 H 0.280      
8 H 0.238      
9 H 0.238      


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 -0.678 0.678
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.419 0.000 0.000
y 0.000 -34.963 0.000
z 0.000 0.000 -21.740
Traceless
 xyz
x -0.068 0.000 0.000
y 0.000 -9.883 0.000
z 0.000 0.000 9.951
Polar
3z2-r219.902
x2-y26.544
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.688 0.000 0.000
y 0.000 5.187 0.000
z 0.000 0.000 7.954


<r2> (average value of r2) Å2
<r2> 76.963
(<r2>)1/2 8.773