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

using model chemistry: M06-2X/3-21G*

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/3-21G*
 hartrees
Energy at 0K-224.822101
Energy at 298.15K-224.828102
HF Energy-224.822101
Nuclear repulsion energy158.440990
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/3-21G*
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 3312 3137 2.46      
2 A1 3178 3010 0.30      
3 A1 1543 1461 12.39      
4 A1 1469 1392 7.84      
5 A1 1338 1268 8.65      
6 A1 991 938 3.97      
7 A1 924 875 5.21      
8 A1 824 781 5.82      
9 A2 1214 1150 0.00      
10 A2 1041 986 0.00      
11 A2 604 572 0.00      
12 B1 3230 3060 0.02      
13 B1 1048 992 36.92      
14 B1 865 820 2.70      
15 B1 418 396 38.27      
16 B2 3296 3122 7.02      
17 B2 1633 1547 1.18      
18 B2 1304 1235 0.97      
19 B2 1277 1210 3.42      
20 B2 939 889 43.83      
21 B2 862 816 19.44      

Unscaled Zero Point Vibrational Energy (zpe) 15655.5 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 14828.9 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/3-21G*
ABC
0.31413 0.28148 0.15281

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.169
N2 0.000 1.209 0.288
N3 0.000 -1.209 0.288
C4 0.000 0.749 -0.920
C5 0.000 -0.749 -0.920
H6 -0.896 0.000 1.793
H7 0.896 0.000 1.793
H8 0.000 1.380 -1.796
H9 0.000 -1.380 -1.796

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.49601.49602.21952.21951.09201.09203.27083.2708
N21.49602.41891.29362.30152.12842.12842.09183.3247
N31.49602.41892.30151.29362.12842.12843.32472.0918
C42.21951.29362.30151.49802.95442.95441.07972.3025
C52.21952.30151.29361.49802.95442.95442.30251.0797
H61.09202.12842.12842.95442.95441.79163.94903.9490
H71.09202.12842.12842.95442.95441.79163.94903.9490
H83.27082.09183.32471.07972.30253.94903.94902.7608
H93.27083.32472.09182.30251.07973.94903.94902.7608

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 105.202 C1 N3 C5 105.202
N2 C1 N3 107.893 N2 C1 H6 109.670
N2 C1 H7 109.670 N2 C4 C5 110.852
N2 C4 H8 123.360 N3 C1 H6 109.670
N3 C1 H7 109.670 N3 C5 C4 110.852
N3 C5 H9 123.360 C4 C5 H9 125.788
C5 C4 H8 125.788 H6 C1 H7 110.231
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.183      
2 N -0.432      
3 N -0.432      
4 C 0.006      
5 C 0.006      
6 H 0.277      
7 H 0.277      
8 H 0.241      
9 H 0.241      


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 -1.019 1.019
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.193 0.000 0.000
y 0.000 -36.339 0.000
z 0.000 0.000 -22.839
Traceless
 xyz
x 0.396 0.000 0.000
y 0.000 -10.323 0.000
z 0.000 0.000 9.927
Polar
3z2-r219.854
x2-y27.146
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.832 0.000 0.000
y 0.000 4.143 0.000
z 0.000 0.000 7.305


<r2> (average value of r2) Å2
<r2> 83.441
(<r2>)1/2 9.135