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

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-226.044499
Energy at 298.15K-226.050313
HF Energy-226.044499
Nuclear repulsion energy 
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 B97D3/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3168 3106 21.01      
2 A' 3149 3087 16.68      
3 A' 2994 2936 3.34      
4 A' 1605 1574 39.01      
5 A' 1506 1476 7.85      
6 A' 1396 1368 17.93      
7 A' 1299 1273 20.39      
8 A' 1282 1257 4.43      
9 A' 1238 1213 9.11      
10 A' 1013 993 55.60      
11 A' 968 949 8.88      
12 A' 921 903 5.11      
13 A' 863 847 12.31      
14 A' 859 842 3.48      
15 A" 3030 2970 3.28      
16 A" 1141 1118 0.26      
17 A" 973 954 10.29      
18 A" 923 905 0.37      
19 A" 728 714 7.03      
20 A" 553 542 19.21      
21 A" 360 353 8.19      

Unscaled Zero Point Vibrational Energy (zpe) 14983.0 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 14689.3 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 B97D3/6-31G*
ABC
0.31762 0.28843 0.15556

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.209 0.363 0.000
C2 0.000 1.139 0.000
N3 1.129 0.507 0.000
C4 0.735 -0.904 0.000
C5 -0.771 -0.861 0.000
H6 -0.074 2.227 0.000
H7 1.147 -1.420 0.884
H8 1.147 -1.420 -0.884
H9 -1.445 -1.719 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43702.34282.32051.29912.18273.08393.08392.0952
C21.43701.29422.17162.14321.09042.94022.94023.2028
N32.34281.29421.46522.34112.09942.11972.11973.4031
C42.32052.17161.46521.50683.23431.10331.10332.3271
C51.29912.14322.34111.50683.16522.18522.18521.0915
H62.18271.09042.09943.23433.16523.94613.94614.1775
H73.08392.94022.11971.10332.18523.94611.76852.7551
H83.08392.94022.11971.10332.18523.94611.76852.7551
H92.09523.20283.40312.32711.09154.17752.75512.7551

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 117.546 N1 C2 H6 118.803
N1 C5 C4 111.113 N1 C5 H9 122.818
C2 N1 C5 103.480 C2 N3 C4 104.293
N3 C2 H6 123.652 N3 C4 C5 103.568
N3 C4 H7 110.550 N3 C4 H8 110.550
C4 C5 H9 126.069 C5 C4 H7 112.708
C5 C4 H8 112.708 H7 C4 H8 106.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.358      
2 C 0.157      
3 N -0.349      
4 C -0.235      
5 C 0.058      
6 H 0.165      
7 H 0.199      
8 H 0.199      
9 H 0.164      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.058 -2.040 0.000 2.041
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.461 -0.628 0.000
y -0.628 -23.735 0.000
z 0.000 0.000 -28.462
Traceless
 xyz
x -8.362 -0.628 0.000
y -0.628 7.726 0.000
z 0.000 0.000 0.636
Polar
3z2-r21.272
x2-y2-10.725
xy-0.628
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.311 -0.319 0.000
y -0.319 7.455 0.000
z 0.000 0.000 3.487


<r2> (average value of r2) Å2
<r2> 82.100
(<r2>)1/2 9.061