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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: M06-2X/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 M06-2X/6-31G*
 hartrees
Energy at 0K-226.119976
Energy at 298.15K-226.125962
HF Energy-226.119976
Nuclear repulsion energy163.583022
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/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' 3690 3495 72.89      
2 A' 3313 3137 1.44      
3 A' 3290 3115 2.79      
4 A' 3285 3111 2.64      
5 A' 1610 1525 15.62      
6 A' 1551 1469 21.94      
7 A' 1479 1401 18.79      
8 A' 1412 1337 10.06      
9 A' 1297 1228 0.72      
10 A' 1200 1136 6.15      
11 A' 1167 1105 2.40      
12 A' 1121 1061 23.26      
13 A' 1097 1039 30.96      
14 A' 951 900 1.98      
15 A' 910 861 7.02      
16 A" 891 844 5.18      
17 A" 828 784 25.34      
18 A" 737 698 32.86      
19 A" 689 652 3.89      
20 A" 653 619 9.51      
21 A" 527 499 114.52      

Unscaled Zero Point Vibrational Energy (zpe) 15848.1 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 15008.1 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 M06-2X/6-31G*
ABC
0.32745 0.31460 0.16045

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.104 0.000
C2 -1.085 0.279 0.000
C3 1.117 0.299 0.000
N4 -0.743 -0.982 0.000
C5 0.634 -0.982 0.000
H6 -0.012 2.113 0.000
H7 -2.098 0.661 0.000
H8 2.118 0.702 0.000
H9 1.196 -1.906 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36321.37712.21532.18091.00882.14442.15553.2392
C21.36322.20191.30732.13242.12491.08273.23053.1587
C31.37712.20192.25831.36872.13693.23531.07912.2060
N42.21531.30732.25831.37723.18092.13043.31982.1474
C52.18092.13241.36871.37723.16203.18862.24441.0811
H61.00882.12492.13693.18093.16202.54182.55444.1966
H72.14441.08273.23532.13043.18862.54184.21604.1762
H82.15553.23051.07913.31982.24442.55444.21602.7663
H93.23923.15872.20602.14741.08114.19664.17622.7663

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.082 N1 C2 H7 122.083
N1 C3 C5 105.169 N1 C3 H8 122.228
C2 N1 C3 106.935 C2 N1 H6 126.584
C2 N4 C5 105.157 C3 N1 H6 126.481
C3 C5 N4 110.657 C3 C5 H9 128.067
N4 C2 H7 125.834 N4 C5 H9 121.276
C5 C3 H8 132.603
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.607      
2 C 0.208      
3 C -0.001      
4 N -0.447      
5 C -0.057      
6 H 0.364      
7 H 0.185      
8 H 0.187      
9 H 0.168      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.137 3.621 0.000 3.795
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.050 -3.198 0.000
y -3.198 -25.042 0.000
z 0.000 0.000 -31.389
Traceless
 xyz
x 2.166 -3.198 0.000
y -3.198 3.677 0.000
z 0.000 0.000 -5.843
Polar
3z2-r2-11.686
x2-y2-1.007
xy-3.198
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.916 -0.198 0.000
y -0.198 6.681 0.000
z 0.000 0.000 2.588


<r2> (average value of r2) Å2
<r2> 79.308
(<r2>)1/2 8.906