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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-225.937236
Energy at 298.15K-225.943276
HF Energy-225.937236
Nuclear repulsion energy167.391489
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 PBE1PBE/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 3230 3230 13.56      
2 A1 3067 3067 0.46      
3 A1 1721 1721 20.25      
4 A1 1417 1417 0.24      
5 A1 1378 1378 36.44      
6 A1 1262 1262 4.70      
7 A1 1046 1046 0.90      
8 A1 941 941 10.67      
9 A2 1144 1144 0.00      
10 A2 935 935 0.00      
11 A2 552 552 0.00      
12 B1 3103 3103 2.11      
13 B1 1001 1001 22.32      
14 B1 832 832 4.77      
15 B1 375 375 37.76      
16 B2 3215 3215 3.79      
17 B2 1796 1796 0.38      
18 B2 1398 1398 35.53      
19 B2 1241 1241 1.21      
20 B2 1086 1086 33.86      
21 B2 935 935 70.83      

Unscaled Zero Point Vibrational Energy (zpe) 15837.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15837.5 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 PBE1PBE/6-311+G(3df,2p)
ABC
0.36418 0.30742 0.17214

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.723 -0.940
C5 0.000 -0.723 -0.940
H6 -0.891 0.000 1.829
H7 0.891 0.000 1.829
H8 0.000 1.466 -1.727
H9 0.000 -1.466 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35141.35142.25262.25261.09401.09403.26733.2673
N21.35141.99241.25022.10852.04552.04552.06103.1767
N31.35141.99242.10851.25022.04552.04553.17672.0610
C42.25261.25022.10851.44692.99712.99711.08202.3268
C52.25262.10851.25021.44692.99712.99712.32681.0820
H61.09402.04552.04552.99712.99711.78103.94763.9476
H71.09402.04552.04552.99712.99711.78103.94763.9476
H83.26732.06103.17671.08202.32683.94763.94762.9328
H93.26733.17672.06102.32681.08203.94763.94762.9328

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 119.907 C1 N3 C5 119.907
N2 C1 N3 94.982 N2 C1 H6 113.112
N2 C1 H7 113.112 N2 C4 C5 102.602
N2 C4 H8 124.032 N3 C1 H6 113.112
N3 C1 H7 113.112 N3 C5 C4 102.602
N3 C5 H9 124.032 C4 C5 H9 133.366
C5 C4 H8 133.366 H6 C1 H7 108.968
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.795      
2 N -1.058      
3 N -1.058      
4 C 0.368      
5 C 0.368      
6 H 0.136      
7 H 0.136      
8 H 0.157      
9 H 0.157      


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 -0.827 0.827
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.561 0.000 0.000
y 0.000 -35.758 0.000
z 0.000 0.000 -21.712
Traceless
 xyz
x 0.174 0.000 0.000
y 0.000 -10.621 0.000
z 0.000 0.000 10.447
Polar
3z2-r220.894
x2-y27.197
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.865 0.000 0.000
y 0.000 7.066 0.000
z 0.000 0.000 8.618


<r2> (average value of r2) Å2
<r2> 76.868
(<r2>)1/2 8.767