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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: M06-2X/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-226.062750
Energy at 298.15K-226.068782
HF Energy-226.062750
Nuclear repulsion energy166.577883
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3237 3237 7.51      
2 A1 3109 3109 0.89      
3 A1 1748 1748 20.12      
4 A1 1424 1424 0.03      
5 A1 1383 1383 34.06      
6 A1 1264 1264 5.03      
7 A1 1041 1041 0.57      
8 A1 938 938 10.85      
9 A2 1144 1144 0.00      
10 A2 914 914 0.00      
11 A2 545 545 0.00      
12 B1 3157 3157 2.24      
13 B1 1002 1002 22.75      
14 B1 823 823 7.03      
15 B1 375 375 38.31      
16 B2 3222 3222 1.77      
17 B2 1820 1820 0.23      
18 B2 1405 1405 34.75      
19 B2 1233 1233 2.76      
20 B2 1085 1085 33.50      
21 B2 931 931 67.54      

Unscaled Zero Point Vibrational Energy (zpe) 15899.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15899.4 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/aug-cc-pVDZ
ABC
0.36125 0.30373 0.17044

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.204
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.730 -0.946
C5 0.000 -0.730 -0.946
H6 -0.899 0.000 1.832
H7 0.899 0.000 1.832
H8 0.000 1.480 -1.733
H9 0.000 -1.480 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35881.35882.26982.26981.09731.09733.28843.2884
N21.35881.99411.25492.11782.05222.05222.07053.1918
N31.35881.99412.11781.25492.05222.05223.19182.0705
C42.26981.25492.11781.45953.00983.00981.08732.3454
C52.26982.11781.25491.45953.00983.00982.34541.0873
H61.09732.05222.05223.00983.00981.79853.96363.9636
H71.09732.05222.05223.00983.00981.79853.96363.9636
H83.28842.07053.19181.08732.34543.96363.96362.9590
H93.28843.19182.07052.34541.08733.96363.96362.9590

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 120.500 C1 N3 C5 120.500
N2 C1 N3 94.404 N2 C1 H6 112.912
N2 C1 H7 112.912 N2 C4 C5 102.298
N2 C4 H8 124.106 N3 C1 H6 112.912
N3 C1 H7 112.912 N3 C5 C4 102.298
N3 C5 H9 124.106 C4 C5 H9 133.596
C5 C4 H8 133.596 H6 C1 H7 110.078
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.992      
2 N -0.240      
3 N -0.240      
4 C 0.382      
5 C 0.382      
6 H -0.341      
7 H -0.341      
8 H -0.297      
9 H -0.297      


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 -0.860 0.860
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.767 0.000 0.000
y 0.000 -35.782 0.000
z 0.000 0.000 -21.755
Traceless
 xyz
x 0.002 0.000 0.000
y 0.000 -10.521 0.000
z 0.000 0.000 10.519
Polar
3z2-r221.038
x2-y27.015
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.861 0.000 0.000
y 0.000 6.935 0.000
z 0.000 0.000 8.676


<r2> (average value of r2) Å2
<r2> 77.518
(<r2>)1/2 8.804