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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: TPSSh/6-31G**

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/6-31G**
 hartrees
Energy at 0K-226.237139
Energy at 298.15K-226.243073
HF Energy-226.237139
Nuclear repulsion energy162.927520
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3655 3504 41.50      
2 A' 3295 3159 3.48      
3 A' 3270 3135 2.92      
4 A' 3263 3128 8.12      
5 A' 1569 1504 11.02      
6 A' 1518 1455 19.07      
7 A' 1449 1389 15.34      
8 A' 1379 1322 8.06      
9 A' 1288 1235 0.48      
10 A' 1170 1122 4.46      
11 A' 1156 1108 3.34      
12 A' 1104 1058 18.85      
13 A' 1083 1038 32.64      
14 A' 932 894 1.72      
15 A' 891 854 8.31      
16 A" 856 821 7.43      
17 A" 798 765 38.22      
18 A" 721 691 21.82      
19 A" 679 651 1.27      
20 A" 641 615 17.17      
21 A" 520 499 91.15      

Unscaled Zero Point Vibrational Energy (zpe) 15617.2 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 14972.2 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/6-31G**
ABC
0.32512 0.31165 0.15912

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.109 0.000
C2 -1.089 0.281 0.000
C3 1.121 0.300 0.000
N4 -0.746 -0.988 0.000
C5 0.637 -0.986 0.000
H6 -0.010 2.118 0.000
H7 -2.102 0.663 0.000
H8 2.121 0.706 0.000
H9 1.198 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36841.38252.22532.18921.00942.14842.15923.2474
C21.36842.21041.31412.14072.13131.08223.23843.1669
C31.38252.21042.26761.37372.14133.24311.07932.2104
N42.22531.31412.26761.38233.19202.13643.32952.1513
C52.18922.14071.37371.38233.17053.19642.25031.0810
H61.00942.13132.14133.19203.17052.54832.55664.2048
H72.14841.08223.24312.13643.19642.54834.22304.1842
H82.15923.23841.07933.32952.25032.55664.22302.7729
H93.24743.16692.21042.15131.08104.20484.18422.7729

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.089 N1 C2 H7 122.054
N1 C3 C5 105.176 N1 C3 H8 122.099
C2 N1 C3 106.931 C2 N1 H6 126.701
C2 N4 C5 105.076 C3 N1 H6 126.368
C3 C5 N4 110.729 C3 C5 H9 128.051
N4 C2 H7 125.858 N4 C5 H9 121.220
C5 C3 H8 132.725
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.515      
2 C 0.250      
3 C 0.039      
4 N -0.455      
5 C -0.004      
6 H 0.286      
7 H 0.140      
8 H 0.138      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.121 3.550 0.000 3.722
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 7.192 -0.193 0.000
y -0.193 6.921 0.000
z 0.000 0.000 2.657


<r2> (average value of r2) Å2
<r2> 79.710
(<r2>)1/2 8.928