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

using model chemistry: wB97X-D/CEP-121G*

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-121G*
 hartrees
Energy at 0K-39.174950
Energy at 298.15K-39.180897
HF Energy-39.174950
Nuclear repulsion energy84.348141
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-121G*
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' 3694 3694 54.73      
2 A' 3279 3279 8.53      
3 A' 3254 3254 4.81      
4 A' 3251 3251 14.92      
5 A' 1566 1566 13.35      
6 A' 1508 1508 21.37      
7 A' 1441 1441 16.64      
8 A' 1377 1377 7.32      
9 A' 1282 1282 0.28      
10 A' 1170 1170 4.70      
11 A' 1148 1148 4.58      
12 A' 1097 1097 28.91      
13 A' 1077 1077 36.34      
14 A' 937 937 2.75      
15 A' 896 896 7.22      
16 A" 880 880 6.63      
17 A" 816 816 40.94      
18 A" 726 726 47.36      
19 A" 678 678 3.05      
20 A" 641 641 10.31      
21 A" 515 515 105.28      

Unscaled Zero Point Vibrational Energy (zpe) 15616.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15616.0 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 wB97X-D/CEP-121G*
ABC
0.32294 0.31045 0.15829

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.113 0.000
C2 -1.093 0.282 0.000
C3 1.125 0.298 0.000
N4 -0.748 -0.986 0.000
C5 0.639 -0.990 0.000
H6 -0.010 2.123 0.000
H7 -2.108 0.665 0.000
H8 2.129 0.701 0.000
H9 1.200 -1.917 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37261.38862.22842.19821.00972.15542.16833.2594
C21.37262.21741.31492.14932.13491.08523.24873.1778
C31.38862.21742.27051.37712.14853.25371.08202.2170
N42.22841.31492.27051.38663.19522.13983.33482.1591
C52.19822.14931.37711.38663.18003.20762.25391.0838
H61.00972.13492.14853.19523.18002.55462.56864.2176
H72.15541.08523.25372.13983.20762.55464.23734.1973
H82.16833.24871.08203.33482.25392.56864.23732.7781
H93.25943.17782.21702.15911.08384.21764.19732.7781

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 112.012 N1 C2 H7 122.126
N1 C3 C5 105.274 N1 C3 H8 122.234
C2 N1 C3 106.849 C2 N1 H6 126.639
C2 N4 C5 105.388 C3 N1 H6 126.513
C3 C5 N4 110.478 C3 C5 H9 128.154
N4 C2 H7 125.862 N4 C5 H9 121.368
C5 C3 H8 132.492
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.166      
2 C -0.277      
3 C -0.279      
4 N -0.044      
5 C -0.208      
6 H 0.365      
7 H 0.193      
8 H 0.220      
9 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.154 3.764 0.000 3.937
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.082 -3.401 0.000
y -3.401 -24.882 0.000
z 0.000 0.000 -31.829
Traceless
 xyz
x 2.274 -3.401 0.000
y -3.401 4.074 0.000
z 0.000 0.000 -6.347
Polar
3z2-r2-12.694
x2-y2-1.200
xy-3.401
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.596 -0.142 0.000
y -0.142 7.235 0.000
z 0.000 0.000 3.782


<r2> (average value of r2) Å2
<r2> 66.624
(<r2>)1/2 8.162