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All results from a given calculation for C3H4N2 (4H-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 CS 1A'
Energy calculated at TPSSh/6-311G**
 hartrees
Energy at 0K-226.261028
Energy at 298.15K-226.266927
HF Energy-226.261028
Nuclear repulsion energy160.578560
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 A' 3205 3205 14.84      
2 A' 3180 3180 11.77      
3 A' 3034 3034 2.29      
4 A' 1642 1642 43.14      
5 A' 1539 1539 9.33      
6 A' 1407 1407 21.58      
7 A' 1319 1319 24.06      
8 A' 1301 1301 5.33      
9 A' 1255 1255 7.35      
10 A' 1027 1027 60.58      
11 A' 992 992 11.35      
12 A' 938 938 3.90      
13 A' 873 873 3.67      
14 A' 872 872 12.59      
15 A" 3065 3065 2.54      
16 A" 1157 1157 0.36      
17 A" 1001 1001 15.74      
18 A" 959 959 1.16      
19 A" 746 746 6.50      
20 A" 561 561 20.94      
21 A" 360 360 7.35      

Unscaled Zero Point Vibrational Energy (zpe) 15215.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15215.7 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 TPSSh/6-311G**
ABC
0.32102 0.29205 0.15739

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.358 0.000
C2 0.000 1.134 0.000
N3 1.120 0.506 0.000
C4 0.732 -0.900 0.000
C5 -0.766 -0.855 0.000
H6 -0.075 2.215 0.000
H7 1.143 -1.410 0.880
H8 1.143 -1.410 -0.880
H9 -1.438 -1.708 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43042.32662.30751.28932.17213.06593.06592.0797
C21.43041.28422.16202.13151.08402.92442.92443.1851
N32.32661.28421.45862.32592.08592.10842.10843.3831
C42.30752.16201.45861.49893.21851.09711.09712.3158
C51.28932.13152.32591.49893.14732.17422.17421.0858
H62.17211.08402.08593.21853.14733.92443.92444.1533
H73.06592.92442.10841.09712.17423.92441.76092.7435
H83.06592.92442.10841.09712.17423.92441.76092.7435
H92.07973.18513.38312.31581.08584.15332.74352.7435

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.880 N1 C2 H6 118.868
N1 C5 C4 111.479 N1 C5 H9 122.002
C2 N1 C5 103.085 C2 N3 C4 103.861
N3 C2 H6 123.252 N3 C4 C5 103.696
N3 C4 H7 110.374 N3 C4 H8 110.374
C4 C5 H9 126.519 C5 C4 H7 112.847
C5 C4 H8 112.847 H7 C4 H8 106.748
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 N -0.292      
2 C 0.153      
3 N -0.310      
4 C -0.118      
5 C 0.017      
6 H 0.120      
7 H 0.157      
8 H 0.157      
9 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.047 -2.070 0.000 2.071
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 6.511 -0.349 0.000
y -0.349 7.605 0.000
z 0.000 0.000 3.895


<r2> (average value of r2) Å2
<r2> 81.549
(<r2>)1/2 9.030