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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at wB97X-D/CEP-121G*
 hartrees
Energy at 0K-39.076722
Energy at 298.15K-39.082716
HF Energy-39.076722
Nuclear repulsion energy 
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 A1 3234 3234 28.87      
2 A1 3084 3084 2.18      
3 A1 1714 1714 21.88      
4 A1 1436 1436 1.20      
5 A1 1404 1404 26.88      
6 A1 1262 1262 4.23      
7 A1 1036 1036 1.20      
8 A1 934 934 14.49      
9 A2 1168 1168 0.00      
10 A2 927 927 0.00      
11 A2 545 545 0.00      
12 B1 3132 3132 0.64      
13 B1 1016 1016 22.75      
14 B1 834 834 7.10      
15 B1 347 347 36.85      
16 B2 3219 3219 12.10      
17 B2 1786 1786 0.58      
18 B2 1411 1411 41.88      
19 B2 1264 1264 1.62      
20 B2 1092 1092 41.67      
21 B2 928 928 73.83      

Unscaled Zero Point Vibrational Energy (zpe) 15886.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15886.4 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
0.36033 0.30176 0.16958

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.209
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.732 -0.949
C5 0.000 -0.732 -0.949
H6 -0.897 0.000 1.839
H7 0.897 0.000 1.839
H8 0.000 1.482 -1.734
H9 0.000 -1.482 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36271.36272.27902.27901.09611.09613.29543.2954
N21.36271.99491.25792.12232.05642.05642.07223.1951
N31.36271.99492.12231.25792.05642.05643.19512.0722
C42.27901.25792.12231.46463.01913.01911.08582.3497
C52.27902.12231.25791.46463.01913.01912.34971.0858
H61.09612.05642.05643.01913.01911.79363.97123.9712
H71.09612.05642.05643.01913.01911.79363.97123.9712
H83.29542.07223.19511.08582.34973.97123.97122.9648
H93.29543.19512.07222.34971.08583.97123.97122.9648

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 120.782 C1 N3 C5 120.782
N2 C1 N3 94.101 N2 C1 H6 113.063
N2 C1 H7 113.063 N2 C4 C5 102.168
N2 C4 H8 124.136 N3 C1 H6 113.063
N3 C1 H7 113.063 N3 C5 C4 102.168
N3 C5 H9 124.136 C4 C5 H9 133.697
C5 C4 H8 133.697 H6 C1 H7 109.807
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 C -0.491      
2 N 0.067      
3 N 0.067      
4 C -0.258      
5 C -0.258      
6 H 0.236      
7 H 0.236      
8 H 0.200      
9 H 0.200      


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 -0.764 0.764
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.144 0.000 0.000
y 0.000 -35.013 0.000
z 0.000 0.000 -21.184
Traceless
 xyz
x -0.045 0.000 0.000
y 0.000 -10.349 0.000
z 0.000 0.000 10.394
Polar
3z2-r220.789
x2-y26.869
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.060 0.000 0.000
y 0.000 5.473 0.000
z 0.000 0.000 8.343


<r2> (average value of r2) Å2
<r2> 64.422
(<r2>)1/2 8.026