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

using model chemistry: wB97X-D/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.121792
Energy at 298.15K-226.127841
HF Energy-226.121792
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/6-311+G(3df,2p)
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 3243 3243 14.28      
2 A1 3077 3077 0.14      
3 A1 1728 1728 20.36      
4 A1 1430 1430 0.32      
5 A1 1393 1393 35.00      
6 A1 1263 1263 4.19      
7 A1 1047 1047 0.94      
8 A1 950 950 9.97      
9 A2 1163 1163 0.00      
10 A2 948 948 0.00      
11 A2 555 555 0.00      
12 B1 3119 3119 1.30      
13 B1 1011 1011 23.72      
14 B1 843 843 4.21      
15 B1 364 364 37.89      
16 B2 3229 3229 3.59      
17 B2 1806 1806 0.39      
18 B2 1413 1413 34.07      
19 B2 1266 1266 1.48      
20 B2 1095 1095 39.59      
21 B2 943 943 65.64      

Unscaled Zero Point Vibrational Energy (zpe) 15942.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15942.4 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/6-311+G(3df,2p)
ABC
0.36374 0.30716 0.17198

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.196
N2 0.000 0.997 0.279
N3 0.000 -0.997 0.279
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.892 0.000 1.826
H7 0.892 0.000 1.826
H8 0.000 1.466 -1.726
H9 0.000 -1.466 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35441.35442.25572.25571.09171.09173.26903.2690
N21.35441.99311.24892.10902.04492.04492.05893.1752
N31.35441.99312.10901.24892.04492.04493.17522.0589
C42.25571.24892.10901.44902.99512.99511.08022.3269
C52.25572.10901.24891.44902.99512.99512.32691.0802
H61.09172.04492.04492.99512.99511.78343.94453.9445
H71.09172.04492.04492.99512.99511.78343.94453.9445
H83.26902.05893.17521.08022.32693.94453.94452.9314
H93.26903.17522.05892.32691.08023.94453.94452.9314

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 120.044 C1 N3 C5 120.044
N2 C1 N3 94.747 N2 C1 H6 112.998
N2 C1 H7 112.998 N2 C4 C5 102.583
N2 C4 H8 124.091 N3 C1 H6 112.998
N3 C1 H7 112.998 N3 C5 C4 102.583
N3 C5 H9 124.091 C4 C5 H9 133.327
C5 C4 H8 133.327 H6 C1 H7 109.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.593      
2 N -0.886      
3 N -0.886      
4 C 0.255      
5 C 0.255      
6 H 0.159      
7 H 0.159      
8 H 0.175      
9 H 0.175      


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 -0.903 0.903
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.509 0.000 0.000
y 0.000 -35.732 0.000
z 0.000 0.000 -21.616
Traceless
 xyz
x 0.165 0.000 0.000
y 0.000 -10.669 0.000
z 0.000 0.000 10.504
Polar
3z2-r221.009
x2-y27.223
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.885 0.000 0.000
y 0.000 6.957 0.000
z 0.000 0.000 8.560


<r2> (average value of r2) Å2
<r2> 76.867
(<r2>)1/2 8.767