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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: M06-2X/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/TZVP
 hartrees
Energy at 0K-226.099686
Energy at 298.15K-226.105722
HF Energy-226.099686
Nuclear repulsion energy167.120830
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/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3224 3051 5.29      
2 A1 3105 2938 1.61      
3 A1 1749 1655 22.38      
4 A1 1426 1349 1.99      
5 A1 1396 1321 29.22      
6 A1 1255 1187 5.44      
7 A1 1038 982 2.35      
8 A1 939 889 10.17      
9 A2 1163 1100 0.00      
10 A2 910 861 0.00      
11 A2 550 521 0.00      
12 B1 3148 2979 2.10      
13 B1 1016 961 20.87      
14 B1 826 781 6.23      
15 B1 373 353 41.34      
16 B2 3211 3038 1.75      
17 B2 1821 1723 0.77      
18 B2 1404 1328 33.96      
19 B2 1255 1188 1.87      
20 B2 1090 1032 38.79      
21 B2 938 888 67.43      

Unscaled Zero Point Vibrational Energy (zpe) 15917.6 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 15061.2 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/TZVP
ABC
0.36231 0.30652 0.17148

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.278
N3 0.000 -0.997 0.278
C4 0.000 0.728 -0.941
C5 0.000 -0.728 -0.941
H6 -0.894 0.000 1.826
H7 0.894 0.000 1.826
H8 0.000 1.470 -1.727
H9 0.000 -1.470 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35701.35702.26022.26021.09201.09203.27413.2741
N21.35701.99371.24822.11242.04682.04682.05993.1788
N31.35701.99372.11241.24822.04682.04683.17882.0599
C42.26021.24822.11241.45672.99782.99781.08062.3347
C52.26022.11241.24821.45672.99782.99782.33471.0806
H61.09202.04682.04682.99782.99781.78733.94773.9477
H71.09202.04682.04682.99782.99781.78733.94773.9477
H83.27412.05993.17881.08062.33473.94773.94772.9403
H93.27413.17882.05992.33471.08063.94773.94772.9403

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.303 C1 N3 C5 120.303
N2 C1 N3 94.551 N2 C1 H6 112.950
N2 C1 H7 112.950 N2 C4 C5 102.422
N2 C4 H8 124.231 N3 C1 H6 112.950
N3 C1 H7 112.950 N3 C5 C4 102.422
N3 C5 H9 124.231 C4 C5 H9 133.348
C5 C4 H8 133.348 H6 C1 H7 109.840
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.261      
2 N -0.132      
3 N -0.132      
4 C -0.077      
5 C -0.077      
6 H 0.197      
7 H 0.197      
8 H 0.142      
9 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.796 0.796
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.517 0.000 0.000
y 0.000 -35.839 0.000
z 0.000 0.000 -21.817
Traceless
 xyz
x 0.310 0.000 0.000
y 0.000 -10.671 0.000
z 0.000 0.000 10.361
Polar
3z2-r220.722
x2-y27.321
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.268 0.000 0.000
y 0.000 5.807 0.000
z 0.000 0.000 8.329


<r2> (average value of r2) Å2
<r2> 77.099
(<r2>)1/2 8.781