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

using model chemistry: M06-2X/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/aug-cc-pVTZ
 hartrees
Energy at 0K-226.181725
Energy at 298.15K-226.187670
HF Energy-226.181725
Nuclear repulsion energy161.440566
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 M06-2X/aug-cc-pVTZ
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' 3223 3081 7.08      
2 A' 3208 3065 4.92      
3 A' 3061 2925 1.75      
4 A' 1696 1621 56.68      
5 A' 1596 1525 15.22      
6 A' 1403 1341 20.26      
7 A' 1332 1273 33.55      
8 A' 1315 1256 4.39      
9 A' 1264 1208 4.59      
10 A' 1048 1001 58.19      
11 A' 1021 975 20.03      
12 A' 952 910 3.13      
13 A' 889 850 3.15      
14 A' 884 844 11.70      
15 A" 3098 2960 0.00      
16 A" 1167 1115 0.42      
17 A" 1020 974 14.99      
18 A" 987 943 0.99      
19 A" 760 726 4.21      
20 A" 569 544 23.01      
21 A" 357 341 5.95      

Unscaled Zero Point Vibrational Energy (zpe) 15422.9 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 14739.7 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 M06-2X/aug-cc-pVTZ
ABC
0.32329 0.29609 0.15909

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.193 0.350 0.000
C2 0.000 1.133 0.000
N3 1.107 0.506 0.000
C4 0.732 -0.895 0.000
C5 -0.761 -0.853 0.000
H6 -0.078 2.212 0.000
H7 1.138 -1.403 0.879
H8 1.138 -1.403 -0.879
H9 -1.425 -1.708 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42742.30602.29311.27782.17033.04653.04652.0710
C21.42741.27262.15642.12661.08142.91552.91553.1785
N32.30601.27261.45052.31022.07712.10202.10203.3638
C42.29312.15641.45051.49413.21071.09321.09322.3054
C51.27782.12662.31021.49413.13952.16392.16391.0828
H62.17031.08142.07713.21073.13953.91383.91384.1447
H73.04652.91552.10201.09322.16393.91381.75792.7267
H83.04652.91552.10201.09322.16393.91381.75792.7267
H92.07103.17853.36382.30541.08284.14472.72672.7267

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 117.200 N1 C2 H6 119.141
N1 C5 C4 111.399 N1 C5 H9 122.420
C2 N1 C5 103.509 C2 N3 C4 104.540
N3 C2 H6 123.659 N3 C4 C5 103.352
N3 C4 H7 110.666 N3 C4 H8 110.666
C4 C5 H9 126.180 C5 C4 H7 112.593
C5 C4 H8 112.593 H7 C4 H8 107.021
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.487      
2 C -0.242      
3 N -0.496      
4 C -0.184      
5 C -0.274      
6 H 0.538      
7 H 0.312      
8 H 0.312      
9 H 0.522      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.028 -2.096 0.000 2.096
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.590 -0.667 0.000
y -0.667 -23.982 0.000
z 0.000 0.000 -29.212
Traceless
 xyz
x -8.993 -0.667 0.000
y -0.667 8.420 0.000
z 0.000 0.000 0.574
Polar
3z2-r21.147
x2-y2-11.609
xy-0.667
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.383 -0.287 0.000
y -0.287 8.063 0.000
z 0.000 0.000 4.892


<r2> (average value of r2) Å2
<r2> 81.172
(<r2>)1/2 9.010