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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: wB97X-D/6-31G**

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/6-31G**
 hartrees
Energy at 0K-226.047095
Energy at 298.15K-226.053123
HF Energy-226.047095
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3273 3273 14.74      
2 A1 3093 3093 0.07      
3 A1 1757 1757 17.92      
4 A1 1443 1443 0.05      
5 A1 1405 1405 25.72      
6 A1 1278 1278 5.27      
7 A1 1056 1056 1.73      
8 A1 949 949 12.46      
9 A2 1163 1163 0.00      
10 A2 939 939 0.00      
11 A2 553 553 0.00      
12 B1 3142 3142 0.00      
13 B1 1014 1014 19.79      
14 B1 839 839 3.21      
15 B1 359 359 41.76      
16 B2 3257 3257 10.05      
17 B2 1831 1831 0.03      
18 B2 1427 1427 33.02      
19 B2 1268 1268 0.68      
20 B2 1102 1102 34.65      
21 B2 937 937 75.58      

Unscaled Zero Point Vibrational Energy (zpe) 16042.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16042.4 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/6-31G**
ABC
0.36293 0.30497 0.17115

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.726 -0.944
C5 0.000 -0.726 -0.944
H6 -0.894 0.000 1.831
H7 0.894 0.000 1.831
H8 0.000 1.471 -1.730
H9 0.000 -1.471 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35611.35612.26362.26361.09451.09453.27893.2789
N21.35611.99351.25412.11362.04872.04872.06603.1833
N31.35611.99352.11361.25412.04872.04873.18332.0660
C42.26361.25412.11361.45193.00453.00451.08322.3335
C52.26362.11361.25411.45193.00453.00452.33351.0832
H61.09452.04872.04873.00453.00451.78893.95553.9555
H71.09452.04872.04873.00453.00451.78893.95553.9555
H83.27892.06603.18331.08322.33353.95553.95552.9421
H93.27893.18332.06602.33351.08323.95553.95552.9421

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 120.223 C1 N3 C5 120.223
N2 C1 N3 94.616 N2 C1 H6 113.006
N2 C1 H7 113.006 N2 C4 C5 102.469
N2 C4 H8 124.072 N3 C1 H6 113.006
N3 C1 H7 113.006 N3 C5 C4 102.469
N3 C5 H9 124.072 C4 C5 H9 133.458
C5 C4 H8 133.458 H6 C1 H7 109.607
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 N -0.385      
3 N -0.385      
4 C 0.034      
5 C 0.034      
6 H 0.193      
7 H 0.193      
8 H 0.147      
9 H 0.147      


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 -0.662 0.662
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.834 0.000 0.000
y 0.000 -34.441 0.000
z 0.000 0.000 -21.328
Traceless
 xyz
x 0.051 0.000 0.000
y 0.000 -9.861 0.000
z 0.000 0.000 9.810
Polar
3z2-r219.620
x2-y26.608
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.382 0.000 0.000
y 0.000 4.954 0.000
z 0.000 0.000 7.821


<r2> (average value of r2) Å2
<r2> 76.696
(<r2>)1/2 8.758