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All results from a given calculation for C3H4N2 (4H-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-226.208403
Energy at 298.15K-226.214316
HF Energy-226.208403
Nuclear repulsion energy160.409008
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' 3232 3116 9.96      
2 A' 3207 3092 7.22      
3 A' 3045 2936 1.76      
4 A' 1655 1596 50.86      
5 A' 1555 1500 12.96      
6 A' 1406 1356 22.78      
7 A' 1326 1279 25.54      
8 A' 1307 1261 5.35      
9 A' 1265 1220 6.95      
10 A' 1037 1000 62.84      
11 A' 997 961 12.87      
12 A' 939 906 3.47      
13 A' 882 850 1.11      
14 A' 877 846 11.70      
15 A" 3078 2968 0.83      
16 A" 1158 1116 0.38      
17 A" 1004 969 15.52      
18 A" 962 928 0.90      
19 A" 752 725 6.52      
20 A" 567 547 22.34      
21 A" 370 357 6.85      

Unscaled Zero Point Vibrational Energy (zpe) 15311.5 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 14763.3 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/6-31+G**
ABC
0.31916 0.29251 0.15708

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 -1.199 0.360 0.000
C2 0.000 1.139 0.000
N3 1.119 0.504 0.000
C4 0.733 -0.903 0.000
C5 -0.768 -0.857 0.000
H6 -0.073 2.221 0.000
H7 1.143 -1.416 0.881
H8 1.143 -1.416 -0.881
H9 -1.440 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42952.32202.30771.29102.17523.06773.06772.0850
C21.42951.28622.16942.13881.08492.93402.93403.1931
N32.32201.28621.45962.32702.09002.11292.11293.3848
C42.30772.16941.45961.50163.22661.09871.09872.3182
C51.29102.13882.32701.50163.15602.17702.17701.0866
H62.17521.08492.09003.22663.15603.93483.93484.1632
H73.06772.93402.11291.09872.17703.93481.76202.7448
H83.06772.93402.11291.09872.17703.93481.76202.7448
H92.08503.19313.38482.31821.08664.16322.74482.7448

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.430 N1 C2 H6 119.157
N1 C5 C4 111.229 N1 C5 H9 122.317
C2 N1 C5 103.540 C2 N3 C4 104.215
N3 C2 H6 123.414 N3 C4 C5 103.587
N3 C4 H7 110.575 N3 C4 H8 110.575
C4 C5 H9 126.454 C5 C4 H7 112.776
C5 C4 H8 112.776 H7 C4 H8 106.619
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.237      
2 C 0.051      
3 N -0.247      
4 C -0.254      
5 C 0.027      
6 H 0.142      
7 H 0.185      
8 H 0.185      
9 H 0.147      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.031 -2.234 0.000 2.234
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.261 -0.696 0.000
y -0.696 -24.195 0.000
z 0.000 0.000 -29.360
Traceless
 xyz
x -9.483 -0.696 0.000
y -0.696 8.616 0.000
z 0.000 0.000 0.867
Polar
3z2-r21.735
x2-y2-12.066
xy-0.696
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.452 -0.369 0.000
y -0.369 8.013 0.000
z 0.000 0.000 4.635


<r2> (average value of r2) Å2
<r2> 82.167
(<r2>)1/2 9.065