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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-226.026323
Energy at 298.15K-226.032347
HF Energy-226.026323
Nuclear repulsion energy166.821700
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 3247 3086 8.44      
2 A1 3104 2950 0.16      
3 A1 1773 1685 21.07      
4 A1 1438 1366 1.42      
5 A1 1403 1333 20.72      
6 A1 1269 1207 5.50      
7 A1 1046 994 2.34      
8 A1 942 895 11.44      
9 A2 1158 1100 0.00      
10 A2 922 876 0.00      
11 A2 549 522 0.00      
12 B1 3149 2993 0.17      
13 B1 1012 961 19.34      
14 B1 823 782 4.28      
15 B1 375 356 41.22      
16 B2 3232 3072 6.88      
17 B2 1843 1752 0.03      
18 B2 1417 1347 34.33      
19 B2 1250 1188 1.42      
20 B2 1095 1040 32.03      
21 B2 932 886 74.29      

Unscaled Zero Point Vibrational Energy (zpe) 15988.6 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 15195.5 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
0.36188 0.30489 0.17090

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 1.831
H7 0.896 0.000 1.831
H8 0.000 1.474 -1.730
H9 0.000 -1.474 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35781.35782.26562.26561.09461.09463.28143.2814
N21.35781.99391.25242.11552.04982.04982.06573.1853
N31.35781.99392.11551.25242.04982.04983.18532.0657
C42.26561.25242.11551.45783.00513.00511.08362.3393
C52.26562.11551.25241.45783.00513.00512.33931.0836
H61.09462.04982.04983.00513.00511.79133.95673.9567
H71.09462.04982.04983.00513.00511.79133.95673.9567
H83.28142.06573.18531.08362.33933.95673.95672.9486
H93.28143.18532.06572.33931.08363.95673.95672.9486

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 120.399 C1 N3 C5 120.399
N2 C1 N3 94.487 N2 C1 H6 112.971
N2 C1 H7 112.971 N2 C4 C5 102.358
N2 C4 H8 124.178 N3 C1 H6 112.971
N3 C1 H7 112.971 N3 C5 C4 102.358
N3 C5 H9 124.178 C4 C5 H9 133.464
C5 C4 H8 133.464 H6 C1 H7 109.820
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 0.031      
2 N -0.398      
3 N -0.398      
4 C 0.042      
5 C 0.042      
6 H 0.194      
7 H 0.194      
8 H 0.146      
9 H 0.146      


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 -0.653 0.653
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.050 0.000 0.000
y 0.000 -34.577 0.000
z 0.000 0.000 -21.527
Traceless
 xyz
x 0.002 0.000 0.000
y 0.000 -9.788 0.000
z 0.000 0.000 9.786
Polar
3z2-r219.572
x2-y26.527
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.394 0.000 0.000
y 0.000 4.990 0.000
z 0.000 0.000 7.907


<r2> (average value of r2) Å2
<r2> 76.894
(<r2>)1/2 8.769