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

using model chemistry: wB97X-D/CEP-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 wB97X-D/CEP-31G
 hartrees
Energy at 0K-39.089815
Energy at 298.15K-39.095891
HF Energy-39.089815
Nuclear repulsion energy83.329679
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 wB97X-D/CEP-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 A' 3750 3750 65.23      
2 A' 3333 3333 6.60      
3 A' 3315 3315 9.74      
4 A' 3303 3303 6.59      
5 A' 1565 1565 10.43      
6 A' 1500 1500 18.58      
7 A' 1439 1439 20.10      
8 A' 1377 1377 6.23      
9 A' 1279 1279 0.85      
10 A' 1179 1179 0.03      
11 A' 1159 1159 8.38      
12 A' 1113 1113 27.56      
13 A' 1081 1081 45.19      
14 A' 941 941 4.97      
15 A' 905 905 6.62      
16 A" 912 912 3.91      
17 A" 857 857 36.70      
18 A" 779 779 62.69      
19 A" 676 676 15.66      
20 A" 668 668 168.33      
21 A" 632 632 13.31      

Unscaled Zero Point Vibrational Energy (zpe) 15882.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15882.1 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 wB97X-D/CEP-31G
ABC
0.31445 0.30236 0.15414

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.131 0.000
C2 -1.105 0.287 0.000
C3 1.134 0.308 0.000
N4 -0.759 -1.005 0.000
C5 0.654 -1.006 0.000
H6 -0.010 2.143 0.000
H7 -2.125 0.659 0.000
H8 2.140 0.709 0.000
H9 1.210 -1.935 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.39131.40102.26672.23511.01142.17642.18133.2965
C21.39132.23951.33692.18352.15511.08493.27283.2090
C31.40102.23952.30371.39902.16183.27721.08282.2447
N42.26671.33692.30371.41343.23512.15223.36742.1778
C52.23512.18351.39901.41343.21793.23942.26861.0827
H61.01142.15512.16183.23513.21792.58292.58454.2564
H72.17641.08493.27722.15223.23942.58294.26484.2247
H82.18133.27281.08283.36742.26862.58454.26482.8025
H93.29653.20902.24472.17781.08274.25644.22472.8025

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 112.359 N1 C2 H7 122.546
N1 C3 C5 105.925 N1 C3 H8 122.331
C2 N1 C3 106.648 C2 N1 H6 126.801
C2 N4 C5 105.073 C3 N1 H6 126.551
C3 C5 N4 109.995 C3 C5 H9 129.074
N4 C2 H7 125.095 N4 C5 H9 120.931
C5 C3 H8 131.745
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.103      
2 C -0.538      
3 C -0.298      
4 N 0.136      
5 C -0.366      
6 H 0.350      
7 H 0.263      
8 H 0.281      
9 H 0.275      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.458 4.110 0.000 4.361
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.266 -4.079 0.000
y -4.079 -25.661 0.000
z 0.000 0.000 -32.093
Traceless
 xyz
x 2.612 -4.079 0.000
y -4.079 3.518 0.000
z 0.000 0.000 -6.130
Polar
3z2-r2-12.260
x2-y2-0.604
xy-4.079
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.997 -0.039 0.000
y -0.039 6.938 0.000
z 0.000 0.000 3.141


<r2> (average value of r2) Å2
<r2> 68.077
(<r2>)1/2 8.251