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

using model chemistry: B3LYP/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 B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.202763
Energy at 298.15K-226.208798
HF Energy-226.202763
Nuclear repulsion energy167.046016
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/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 3208 3103 15.59      
2 A1 3043 2942 0.07      
3 A1 1691 1636 23.14      
4 A1 1408 1362 2.34      
5 A1 1388 1342 28.05      
6 A1 1247 1206 4.32      
7 A1 1030 996 1.79      
8 A1 934 903 9.72      
9 A2 1147 1110 0.00      
10 A2 930 900 0.00      
11 A2 550 532 0.00      
12 B1 3071 2970 0.97      
13 B1 1008 975 20.81      
14 B1 834 806 5.40      
15 B1 377 364 37.54      
16 B2 3195 3089 4.60      
17 B2 1763 1704 0.64      
18 B2 1381 1335 34.45      
19 B2 1249 1208 1.71      
20 B2 1079 1043 38.60      
21 B2 938 907 67.51      

Unscaled Zero Point Vibrational Energy (zpe) 15735.3 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 15216.1 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/6-311+G(3df,2p)
ABC
0.36332 0.30553 0.17134

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.198
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.726 -0.943
C5 0.000 -0.726 -0.943
H6 -0.890 0.000 1.834
H7 0.890 0.000 1.834
H8 0.000 1.467 -1.730
H9 0.000 -1.467 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35551.35552.26122.26121.09321.09323.27493.2749
N21.35551.99341.25242.11252.04942.04942.06363.1790
N31.35551.99342.11251.25242.04942.04943.17902.0636
C42.26121.25242.11251.45183.00503.00501.08052.3295
C52.26122.11251.25241.45183.00503.00502.32951.0805
H61.09322.04942.04943.00503.00501.77913.95493.9549
H71.09322.04942.04943.00503.00501.77913.95493.9549
H83.27492.06363.17901.08052.32953.95493.95492.9336
H93.27493.17902.06362.32951.08053.95493.95492.9336

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 120.182 C1 N3 C5 120.182
N2 C1 N3 94.663 N2 C1 H6 113.200
N2 C1 H7 113.200 N2 C4 C5 102.486
N2 C4 H8 124.225 N3 C1 H6 113.200
N3 C1 H7 113.200 N3 C5 C4 102.486
N3 C5 H9 124.225 C4 C5 H9 133.288
C5 C4 H8 133.288 H6 C1 H7 108.922
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.552      
2 N -0.911      
3 N -0.911      
4 C 0.276      
5 C 0.276      
6 H 0.166      
7 H 0.166      
8 H 0.193      
9 H 0.193      


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 -0.848 0.848
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.754 0.000 0.000
y 0.000 -36.151 0.000
z 0.000 0.000 -22.035
Traceless
 xyz
x 0.339 0.000 0.000
y 0.000 -10.757 0.000
z 0.000 0.000 10.418
Polar
3z2-r220.835
x2-y27.397
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.933 0.000 0.000
y 0.000 7.203 0.000
z 0.000 0.000 8.721


<r2> (average value of r2) Å2
<r2> 77.312
(<r2>)1/2 8.793