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

using model chemistry: PBE1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-222.981351
Energy at 298.15K-222.987045
HF Energy-222.981351
Nuclear repulsion energy164.025948
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 PBE1PBE/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 A1 3524 3109 15.74      
2 A1 3361 2965 34.54      
3 A1 1810 1596 8.45      
4 A1 1530 1350 16.03      
5 A1 1424 1256 7.25      
6 A1 1346 1187 8.55      
7 A1 1080 952 1.28      
8 A1 946 835 8.99      
9 A2 1185 1045 0.00      
10 A2 904 797 0.00      
11 A2 557 491 0.00      
12 B1 3463 3055 19.20      
13 B1 1046 922 4.59      
14 B1 822 725 5.07      
15 B1 302 267 35.89      
16 B2 3506 3092 1.16      
17 B2 1873 1652 1.76      
18 B2 1400 1235 3.21      
19 B2 1275 1124 7.91      
20 B2 1102 972 11.32      
21 B2 960 847 67.08      

Unscaled Zero Point Vibrational Energy (zpe) 16707.2 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 14737.5 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 PBE1PBE/STO-3G
ABC
0.35826 0.28888 0.16520

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.245
N2 0.000 0.999 0.281
N3 0.000 -0.999 0.281
C4 0.000 0.733 -0.969
C5 0.000 -0.733 -0.969
H6 -0.913 0.000 1.872
H7 0.913 0.000 1.872
H8 0.000 1.493 -1.761
H9 0.000 -1.493 -1.761

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38841.38842.33252.33251.10811.10813.35633.3563
N21.38841.99871.27832.13682.08922.08922.10103.2220
N31.38841.99872.13681.27832.08922.08923.22202.1010
C42.33251.27832.13681.46703.07353.07351.09702.3628
C52.33252.13681.27831.46703.07353.07352.36281.0970
H61.10812.08922.08923.07353.07351.82694.03284.0328
H71.10812.08922.08923.07353.07351.82694.03284.0328
H83.35632.10103.22201.09702.36284.03284.03282.9854
H93.35633.22202.10102.36281.09704.03284.03282.9854

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 121.959 C1 N3 C5 121.959
N2 C1 N3 92.074 N2 C1 H6 113.141
N2 C1 H7 113.141 N2 C4 C5 102.004
N2 C4 H8 124.200 N3 C1 H6 113.141
N3 C1 H7 113.141 N3 C5 C4 102.004
N3 C5 H9 124.200 C4 C5 H9 133.795
C5 C4 H8 133.795 H6 C1 H7 111.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.021      
2 N -0.247      
3 N -0.247      
4 C 0.000      
5 C 0.000      
6 H 0.149      
7 H 0.149      
8 H 0.108      
9 H 0.108      


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 -0.195 0.195
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.938 0.000 0.000
y 0.000 -31.983 0.000
z 0.000 0.000 -21.289
Traceless
 xyz
x 0.698 0.000 0.000
y 0.000 -8.369 0.000
z 0.000 0.000 7.671
Polar
3z2-r215.342
x2-y26.044
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.584 0.000 0.000
y 0.000 2.568 0.000
z 0.000 0.000 5.126


<r2> (average value of r2) Å2
<r2> 77.946
(<r2>)1/2 8.829