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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-39.043957
Energy at 298.15K-39.049882
HF Energy-39.043957
Nuclear repulsion energy85.663679
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 B3LYP/CEP-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 3219 3109 17.66      
2 A1 3060 2955 3.14      
3 A1 1716 1657 25.62      
4 A1 1414 1365 1.39      
5 A1 1379 1332 23.83      
6 A1 1254 1211 5.13      
7 A1 1027 992 0.91      
8 A1 906 875 18.44      
9 A2 1142 1102 0.00      
10 A2 908 876 0.00      
11 A2 532 514 0.00      
12 B1 3095 2989 1.82      
13 B1 1002 968 20.99      
14 B1 825 797 12.38      
15 B1 339 328 38.80      
16 B2 3200 3090 8.02      
17 B2 1772 1711 0.82      
18 B2 1387 1339 41.92      
19 B2 1225 1183 5.45      
20 B2 1080 1043 34.93      
21 B2 904 873 69.05      

Unscaled Zero Point Vibrational Energy (zpe) 15692.5 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 15154.3 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 B3LYP/CEP-31G*
ABC
0.35695 0.29732 0.16748

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.215
N2 0.000 0.998 0.285
N3 0.000 -0.998 0.285
C4 0.000 0.741 -0.958
C5 0.000 -0.741 -0.958
H6 -0.901 0.000 1.854
H7 0.901 0.000 1.854
H8 0.000 1.504 -1.741
H9 0.000 -1.504 -1.741

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36381.36382.29592.29591.10521.10523.31613.3161
N21.36381.99511.26942.13702.06672.06672.08793.2186
N31.36381.99512.13701.26942.06672.06673.21862.0879
C42.29591.26942.13701.48123.04523.04521.09292.3768
C52.29592.13701.26941.48123.04523.04522.37681.0929
H61.10522.06672.06673.04523.04521.80234.00004.0000
H71.10522.06672.06673.04523.04521.80234.00004.0000
H83.31612.08793.21861.09292.37684.00004.00003.0075
H93.31613.21862.08792.37681.09294.00004.00003.0075

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 121.314 C1 N3 C5 121.314
N2 C1 N3 94.016 N2 C1 H6 113.251
N2 C1 H7 113.251 N2 C4 C5 101.678
N2 C4 H8 124.036 N3 C1 H6 113.251
N3 C1 H7 113.251 N3 C5 C4 101.678
N3 C5 H9 124.036 C4 C5 H9 134.286
C5 C4 H8 134.286 H6 C1 H7 109.252
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.759      
2 N 0.340      
3 N 0.340      
4 C -0.499      
5 C -0.499      
6 H 0.244      
7 H 0.244      
8 H 0.295      
9 H 0.295      


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 -0.708 0.708
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.147 0.000 0.000
y 0.000 -35.132 0.000
z 0.000 0.000 -21.124
Traceless
 xyz
x -0.019 0.000 0.000
y 0.000 -10.496 0.000
z 0.000 0.000 10.515
Polar
3z2-r221.030
x2-y26.985
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.592 0.000 0.000
y 0.000 5.367 0.000
z 0.000 0.000 7.942


<r2> (average value of r2) Å2
<r2> 65.058
(<r2>)1/2 8.066