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

using model chemistry: HF/STO-3G

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/STO-3G
 hartrees
Energy at 0K-221.975760
Energy at 298.15K-221.981745
HF Energy-221.975760
Nuclear repulsion energy158.664490
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/STO-3G
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' 3729 3045 9.82      
2 A' 3725 3041 20.13      
3 A' 3591 2932 6.72      
4 A' 1960 1600 19.20      
5 A' 1866 1524 8.95      
6 A' 1739 1420 2.33      
7 A' 1554 1269 4.50      
8 A' 1498 1223 29.49      
9 A' 1431 1168 0.71      
10 A' 1161 948 20.99      
11 A' 1151 939 6.91      
12 A' 1106 903 1.50      
13 A' 980 800 7.23      
14 A' 962 785 9.74      
15 A" 3701 3022 2.84      
16 A" 1340 1094 0.76      
17 A" 1156 943 4.07      
18 A" 1077 880 0.60      
19 A" 896 731 2.50      
20 A" 624 509 12.37      
21 A" 413 337 7.04      

Unscaled Zero Point Vibrational Energy (zpe) 17828.2 cm-1
Scaled (by 0.8165) Zero Point Vibrational Energy (zpe) 14556.7 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 HF/STO-3G
ABC
0.31245 0.28432 0.15314

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.225 0.336 0.000
C2 0.000 1.156 0.000
N3 1.123 0.534 0.000
C4 0.752 -0.917 0.000
C5 -0.770 -0.867 0.000
H6 -0.091 2.239 0.000
H7 1.160 -1.409 0.886
H8 1.160 -1.409 -0.886
H9 -1.409 -1.746 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.47412.35692.34081.28632.21563.08523.08522.0897
C21.47411.28382.20472.16481.08722.95102.95103.2254
N32.35691.28381.49762.35602.09302.13612.13613.4076
C42.34082.20471.49761.52363.26641.09271.09272.3151
C51.28632.16482.35601.52363.17992.19202.19201.0860
H62.21561.08722.09303.26643.17993.95703.95704.1971
H73.08522.95102.13611.09272.19203.95701.77252.7384
H83.08522.95102.13611.09272.19203.95701.77252.7384
H92.08973.22543.40762.31511.08604.19712.73842.7384

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 117.262 N1 C2 H6 118.997
N1 C5 C4 112.556 N1 C5 H9 123.269
C2 N1 C5 103.085 C2 N3 C4 104.608
N3 C2 H6 123.741 N3 C4 C5 102.489
N3 C4 H7 110.132 N3 C4 H8 110.132
C4 C5 H9 124.175 C5 C4 H7 112.788
C5 C4 H8 112.788 H7 C4 H8 108.404
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.237      
2 C 0.107      
3 N -0.230      
4 C -0.063      
5 C 0.049      
6 H 0.092      
7 H 0.096      
8 H 0.096      
9 H 0.089      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.129 -1.781 0.000 1.786
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.228 -0.470 0.000
y -0.470 -23.750 0.000
z 0.000 0.000 -26.518
Traceless
 xyz
x -8.094 -0.470 0.000
y -0.470 6.123 0.000
z 0.000 0.000 1.971
Polar
3z2-r23.942
x2-y2-9.478
xy-0.470
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.259 -0.413 0.000
y -0.413 4.663 0.000
z 0.000 0.000 1.572


<r2> (average value of r2) Å2
<r2> 82.325
(<r2>)1/2 9.073