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

using model chemistry: G3B3

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at G3B3
 hartrees
Energy at 0K-226.038550
Energy at 298.15K-226.033749
HF Energy-226.192496
Nuclear repulsion energy160.402589
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/6-31G*
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 3238 3109 18.27      
2 A1 3069 2947 0.31      
3 A1 1726 1657 21.70      
4 A1 1437 1380 7.15      
5 A1 1405 1350 11.89      
6 A1 1266 1215 5.53      
7 A1 1040 998 2.77      
8 A1 935 898 12.00      
9 A2 1156 1111 0.00      
10 A2 920 883 0.00      
11 A2 549 527 0.00      
12 B1 3103 2979 0.15      
13 B1 1021 981 15.32      
14 B1 828 795 3.39      
15 B1 372 357 39.48      
16 B2 3223 3095 13.29      
17 B2 1793 1722 0.10      
18 B2 1399 1344 34.75      
19 B2 1256 1207 1.20      
20 B2 1091 1048 31.03      
21 B2 931 894 74.99      

Unscaled Zero Point Vibrational Energy (zpe) 15878.0 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 15247.7 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/6-31G*
ABC
0.36217 0.30339 0.17047

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.202
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.728 -0.947
C5 0.000 -0.728 -0.947
H6 -0.894 0.000 1.839
H7 0.894 0.000 1.839
H8 0.000 1.475 -1.734
H9 0.000 -1.475 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35751.35752.26922.26921.09721.09723.28583.2858
N21.35751.99381.25712.11732.05422.05422.07073.1892
N31.35751.99382.11731.25712.05422.05423.18922.0707
C42.26921.25712.11731.45583.01493.01491.08512.3395
C52.26922.11731.25711.45583.01493.01492.33951.0851
H61.09722.05422.05423.01493.01491.78743.96723.9672
H71.09722.05422.05423.01493.01491.78743.96723.9672
H83.28582.07073.18921.08512.33953.96723.96722.9507
H93.28583.18922.07072.33951.08513.96723.96722.9507

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 112.324 C1 N3 C5 112.324
N2 C1 N3 103.281 N2 C1 H6 110.992
N2 C1 H7 110.992 N2 C4 C5 106.036
N2 C4 H8 122.825 N3 C1 H6 110.992
N3 C1 H7 110.992 N3 C5 C4 106.036
N3 C5 H9 122.825 C4 C5 H9 131.140
C5 C4 H8 131.140 H6 C1 H7 109.484
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.049      
2 N -0.346      
3 N -0.346      
4 C 0.009      
5 C 0.009      
6 H 0.208      
7 H 0.208      
8 H 0.154      
9 H 0.154      


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 -0.608 0.608
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


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


<r2> (average value of r2) Å2
<r2> 77.050
(<r2>)1/2 8.778