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

using model chemistry: TPSSh/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.212881
Energy at 298.15K-226.218889
HF Energy-226.212881
Nuclear repulsion energy166.899753
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/6-311+G(3df,2p)
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 3206 3206 17.81      
2 A1 3048 3048 0.04      
3 A1 1684 1684 22.89      
4 A1 1410 1410 2.65      
5 A1 1388 1388 27.36      
6 A1 1248 1248 4.31      
7 A1 1031 1031 1.12      
8 A1 925 925 10.66      
9 A2 1143 1143 0.00      
10 A2 924 924 0.00      
11 A2 542 542 0.00      
12 B1 3081 3081 0.85      
13 B1 1005 1005 22.59      
14 B1 827 827 4.86      
15 B1 367 367 36.40      
16 B2 3191 3191 6.40      
17 B2 1752 1752 0.88      
18 B2 1377 1377 34.38      
19 B2 1243 1243 2.01      
20 B2 1079 1079 35.81      
21 B2 924 924 69.35      

Unscaled Zero Point Vibrational Energy (zpe) 15697.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15697.2 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/6-311+G(3df,2p)
ABC
0.36301 0.30481 0.17108

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.892 0.000 1.833
H7 0.892 0.000 1.833
H8 0.000 1.473 -1.727
H9 0.000 -1.473 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35601.35602.26452.26451.09361.09363.27673.2767
N21.35601.99351.25532.11402.04892.04892.06333.1828
N31.35601.99352.11401.25532.04892.04893.18282.0633
C42.26451.25532.11401.45123.00633.00631.08172.3336
C52.26452.11401.25531.45123.00633.00632.33361.0817
H61.09362.04892.04893.00633.00631.78423.95423.9542
H71.09362.04892.04893.00633.00631.78423.95423.9542
H83.27672.06333.18281.08172.33363.95423.95422.9462
H93.27673.18282.06332.33361.08173.95423.95422.9462

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 120.215 C1 N3 C5 120.215
N2 C1 N3 94.625 N2 C1 H6 113.090
N2 C1 H7 113.090 N2 C4 C5 102.473
N2 C4 H8 123.815 N3 C1 H6 113.090
N3 C1 H7 113.090 N3 C5 C4 102.473
N3 C5 H9 123.815 C4 C5 H9 133.712
C5 C4 H8 133.712 H6 C1 H7 109.321
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.863      
2 N -1.054      
3 N -1.054      
4 C 0.405      
5 C 0.405      
6 H 0.100      
7 H 0.100      
8 H 0.118      
9 H 0.118      


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 -0.809 0.809
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 4.920 0.000 0.000
y 0.000 7.330 0.000
z 0.000 0.000 8.721


<r2> (average value of r2) Å2
<r2> 77.241
(<r2>)1/2 8.789