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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-226.235384
Energy at 298.15K-226.241335
HF Energy-226.235384
Nuclear repulsion energy162.888792
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/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3668 3536 57.54      
2 A' 3292 3174 1.23      
3 A' 3267 3150 0.97      
4 A' 3263 3146 4.60      
5 A' 1563 1507 12.31      
6 A' 1506 1452 23.16      
7 A' 1439 1387 16.24      
8 A' 1374 1325 6.70      
9 A' 1286 1240 0.50      
10 A' 1166 1124 4.53      
11 A' 1150 1109 3.74      
12 A' 1099 1060 22.77      
13 A' 1077 1038 38.96      
14 A' 941 907 2.18      
15 A' 904 871 6.48      
16 A" 868 837 5.37      
17 A" 810 781 43.57      
18 A" 727 701 43.11      
19 A" 676 652 4.60      
20 A" 639 617 12.93      
21 A" 523 504 97.45      

Unscaled Zero Point Vibrational Energy (zpe) 15617.3 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 15058.2 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/6-31+G**
ABC
0.32406 0.31233 0.15905

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.107 0.000
C2 -1.093 0.283 0.000
C3 1.121 0.300 0.000
N4 -0.742 -0.986 0.000
C5 0.637 -0.986 0.000
H6 -0.010 2.116 0.000
H7 -2.105 0.662 0.000
H8 2.122 0.703 0.000
H9 1.199 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36841.38132.22072.18751.00892.15162.16013.2452
C21.36842.21391.31652.14492.12841.08103.24213.1710
C31.38132.21392.26441.37452.13943.24651.07902.2102
N42.22071.31652.26441.37903.18712.13833.32562.1495
C52.18752.14491.37451.37903.16853.19872.24971.0806
H61.00892.12842.13943.18713.16852.54992.55774.2023
H72.15161.08103.24652.13833.19872.54994.22744.1862
H82.16013.24211.07903.32562.24972.55774.22742.7705
H93.24523.17102.21022.14951.08064.20234.18622.7705

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.592 N1 C2 H7 122.475
N1 C3 C5 105.085 N1 C3 H8 122.318
C2 N1 C3 107.249 C2 N1 H6 126.429
C2 N4 C5 105.423 C3 N1 H6 126.323
C3 C5 N4 110.652 C3 C5 H9 127.987
N4 C2 H7 125.933 N4 C5 H9 121.361
C5 C3 H8 132.598
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 C 0.094      
3 C -0.073      
4 N -0.317      
5 C -0.070      
6 H 0.302      
7 H 0.141      
8 H 0.146      
9 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.203 3.678 0.000 3.870
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.091 -3.515 0.000
y -3.515 -26.146 0.000
z 0.000 0.000 -32.471
Traceless
 xyz
x 2.218 -3.515 0.000
y -3.515 3.635 0.000
z 0.000 0.000 -5.853
Polar
3z2-r2-11.705
x2-y2-0.945
xy-3.515
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.139 0.019 0.000
y 0.019 7.859 0.000
z 0.000 0.000 4.645


<r2> (average value of r2) Å2
<r2> 80.501
(<r2>)1/2 8.972