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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: HF/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/6-311G*
 hartrees
Energy at 0K-224.842896
Energy at 298.15K-224.849061
HF Energy-224.842896
Nuclear repulsion energy162.444099
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 HF/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3393 3068 23.40      
2 A' 3364 3042 19.97      
3 A' 3209 2903 12.35      
4 A' 1862 1684 79.44      
5 A' 1758 1590 32.93      
6 A' 1570 1420 9.27      
7 A' 1458 1319 32.16      
8 A' 1445 1307 23.72      
9 A' 1398 1265 5.17      
10 A' 1129 1021 82.80      
11 A' 1095 990 19.02      
12 A' 1006 909 2.12      
13 A' 961 869 1.97      
14 A' 945 855 14.04      
15 A" 3243 2933 13.62      
16 A" 1292 1169 0.44      
17 A" 1133 1025 14.24      
18 A" 1084 981 0.71      
19 A" 845 764 2.84      
20 A" 610 552 32.82      
21 A" 403 365 4.71      

Unscaled Zero Point Vibrational Energy (zpe) 16601.2 cm-1
Scaled (by 0.9044) Zero Point Vibrational Energy (zpe) 15014.1 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 HF/6-311G*
ABC
0.32747 0.29893 0.16088

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.186 0.342 0.000
C2 0.000 1.124 0.000
N3 1.095 0.510 0.000
C4 0.738 -0.892 0.000
C5 -0.761 -0.846 0.000
H6 -0.083 2.195 0.000
H7 1.138 -1.394 0.875
H8 1.138 -1.394 -0.875
H9 -1.422 -1.695 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42082.28722.28581.26142.15613.03043.03042.0503
C21.42081.25542.14682.11161.07392.89922.89923.1571
N32.28721.25541.44652.29832.05582.09662.09663.3459
C42.28582.14681.44651.49983.19401.08591.08592.3044
C51.26142.11162.29831.49983.11492.16192.16191.0760
H62.15611.07392.05583.19403.11493.89113.89114.1133
H73.03042.89922.09661.08592.16193.89111.75092.7220
H83.03042.89922.09661.08592.16193.89111.75092.7220
H92.05033.15713.34592.30441.07604.11332.72202.7220

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 117.314 N1 C2 H6 118.950
N1 C5 C4 111.461 N1 C5 H9 122.411
C2 N1 C5 103.705 C2 N3 C4 105.007
N3 C2 H6 123.736 N3 C4 C5 102.513
N3 C4 H7 110.969 N3 C4 H8 110.969
C4 C5 H9 126.128 C5 C4 H7 112.479
C5 C4 H8 112.479 H7 C4 H8 107.461
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.357      
2 C 0.114      
3 N -0.356      
4 C -0.345      
5 C -0.015      
6 H 0.236      
7 H 0.247      
8 H 0.247      
9 H 0.229      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.152 -2.158 0.000 2.163
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.836 -0.559 0.000
y -0.559 -23.692 0.000
z 0.000 0.000 -29.063
Traceless
 xyz
x -9.458 -0.559 0.000
y -0.559 8.757 0.000
z 0.000 0.000 0.701
Polar
3z2-r21.402
x2-y2-12.144
xy-0.559
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.902 -0.505 0.000
y -0.505 7.039 0.000
z 0.000 0.000 3.658


<r2> (average value of r2) Å2
<r2> 80.441
(<r2>)1/2 8.969