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

using model chemistry: M06-2X/6-31G*

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/6-31G*
 hartrees
Energy at 0K-226.021574
Energy at 298.15K-226.027590
HF Energy-226.021574
Nuclear repulsion energy166.822224
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/6-31G*
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 3262 3089 9.75      
2 A1 3117 2951 0.24      
3 A1 1776 1682 21.67      
4 A1 1447 1371 3.83      
5 A1 1412 1337 16.59      
6 A1 1271 1204 5.46      
7 A1 1047 991 2.44      
8 A1 942 893 11.28      
9 A2 1166 1104 0.00      
10 A2 919 870 0.00      
11 A2 549 520 0.00      
12 B1 3161 2994 0.15      
13 B1 1019 965 18.20      
14 B1 822 779 4.70      
15 B1 376 356 41.18      
16 B2 3248 3075 7.18      
17 B2 1845 1747 0.04      
18 B2 1421 1346 34.60      
19 B2 1255 1189 1.88      
20 B2 1099 1040 32.04      
21 B2 933 884 73.56      

Unscaled Zero Point Vibrational Energy (zpe) 16043.0 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 15192.7 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/6-31G*
ABC
0.36178 0.30496 0.17091

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.201
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.729 -0.944
C5 0.000 -0.729 -0.944
H6 -0.896 0.000 1.830
H7 0.896 0.000 1.830
H8 0.000 1.475 -1.730
H9 0.000 -1.475 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35791.35792.26552.26551.09481.09483.28153.2815
N21.35791.99391.25212.11542.04982.04982.06543.1857
N31.35791.99392.11541.25212.04982.04983.18572.0654
C42.26551.25212.11541.45803.00473.00471.08392.3402
C52.26552.11541.25211.45803.00473.00472.34021.0839
H61.09482.04982.04983.00473.00471.79253.95633.9563
H71.09482.04982.04983.00473.00471.79253.95633.9563
H83.28152.06543.18571.08392.34023.95633.95632.9505
H93.28153.18572.06542.34021.08393.95633.95632.9505

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 120.404 C1 N3 C5 120.404
N2 C1 N3 94.480 N2 C1 H6 112.947
N2 C1 H7 112.947 N2 C4 C5 102.356
N2 C4 H8 124.136 N3 C1 H6 112.947
N3 C1 H7 112.947 N3 C5 C4 102.356
N3 C5 H9 124.136 C4 C5 H9 133.508
C5 C4 H8 133.508 H6 C1 H7 109.903
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.071      
2 N -0.376      
3 N -0.376      
4 C -0.009      
5 C -0.009      
6 H 0.233      
7 H 0.233      
8 H 0.187      
9 H 0.187      


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 -0.663 0.663
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.075 0.000 0.000
y 0.000 -34.587 0.000
z 0.000 0.000 -21.570
Traceless
 xyz
x 0.003 0.000 0.000
y 0.000 -9.765 0.000
z 0.000 0.000 9.761
Polar
3z2-r219.523
x2-y26.512
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.349 0.000 0.000
y 0.000 4.938 0.000
z 0.000 0.000 7.830


<r2> (average value of r2) Å2
<r2> 76.909
(<r2>)1/2 8.770