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

using model chemistry: TPSSh/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 TPSSh/6-311G**
 hartrees
Energy at 0K-226.188251
Energy at 298.15K-226.194259
HF Energy-226.188251
Nuclear repulsion energy166.716769
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 TPSSh/6-311G**
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 3211 3211 19.18      
2 A1 3057 3057 0.02      
3 A1 1695 1695 19.51      
4 A1 1414 1414 6.68      
5 A1 1389 1389 19.55      
6 A1 1253 1253 6.97      
7 A1 1031 1031 1.85      
8 A1 922 922 13.86      
9 A2 1140 1140 0.00      
10 A2 924 924 0.00      
11 A2 543 543 0.00      
12 B1 3092 3092 0.01      
13 B1 1006 1006 22.46      
14 B1 827 827 4.72      
15 B1 366 366 38.40      
16 B2 3195 3195 10.43      
17 B2 1760 1760 1.09      
18 B2 1377 1377 38.04      
19 B2 1236 1236 1.40      
20 B2 1081 1081 32.47      
21 B2 927 927 77.50      

Unscaled Zero Point Vibrational Energy (zpe) 15723.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15723.0 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 TPSSh/6-311G**
ABC
0.36227 0.30405 0.17070

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.202
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.727 -0.947
C5 0.000 -0.727 -0.947
H6 -0.894 0.000 1.834
H7 0.894 0.000 1.834
H8 0.000 1.478 -1.727
H9 0.000 -1.478 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35691.35692.26802.26801.09451.09453.28063.2806
N21.35691.99371.25692.11652.05012.05012.06513.1871
N31.35691.99372.11651.25692.05012.05013.18712.0651
C42.26801.25692.11651.45443.00953.00951.08302.3392
C52.26802.11651.25691.45443.00953.00952.33921.0830
H61.09452.05012.05013.00953.00951.78703.95773.9577
H71.09452.05012.05013.00953.00951.78703.95773.9577
H83.28062.06513.18711.08302.33923.95773.95772.9557
H93.28063.18712.06512.33921.08303.95773.95772.9557

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 120.335 C1 N3 C5 120.335
N2 C1 N3 94.554 N2 C1 H6 113.068
N2 C1 H7 113.068 N2 C4 C5 102.388
N2 C4 H8 123.739 N3 C1 H6 113.068
N3 C1 H7 113.068 N3 C5 C4 102.388
N3 C5 H9 123.739 C4 C5 H9 133.874
C5 C4 H8 133.874 H6 C1 H7 109.446
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.076      
2 N -0.319      
3 N -0.319      
4 C 0.010      
5 C 0.010      
6 H 0.161      
7 H 0.161      
8 H 0.110      
9 H 0.110      


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 -0.598 0.598
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.787 0.000 0.000
y 0.000 5.466 0.000
z 0.000 0.000 8.110


<r2> (average value of r2) Å2
<r2> 77.045
(<r2>)1/2 8.778