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

using model chemistry: HSEh1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-225.931287
Energy at 298.15K-225.937329
HF Energy-225.931287
Nuclear repulsion energy167.223904
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 HSEh1PBE/6-311G**
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 3234 3106 15.11      
2 A1 3073 2951 0.14      
3 A1 1730 1662 17.98      
4 A1 1418 1362 0.22      
5 A1 1381 1326 32.60      
6 A1 1265 1215 7.14      
7 A1 1046 1005 1.72      
8 A1 940 903 13.66      
9 A2 1142 1097 0.00      
10 A2 934 897 0.00      
11 A2 553 531 0.00      
12 B1 3110 2987 0.37      
13 B1 1003 964 22.01      
14 B1 833 800 5.08      
15 B1 376 361 39.52      
16 B2 3219 3091 6.87      
17 B2 1801 1730 0.57      
18 B2 1398 1343 38.58      
19 B2 1235 1186 0.73      
20 B2 1087 1044 31.03      
21 B2 938 901 78.34      

Unscaled Zero Point Vibrational Energy (zpe) 15858.0 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 15230.0 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 HSEh1PBE/6-311G**
ABC
0.36348 0.30674 0.17179

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.892 0.000 1.830
H7 0.892 0.000 1.830
H8 0.000 1.471 -1.727
H9 0.000 -1.471 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35231.35232.25572.25571.09501.09503.27093.2709
N21.35231.99261.25142.11082.04692.04692.06263.1805
N31.35231.99262.11081.25142.04692.04693.18052.0626
C42.25571.25142.11081.45003.00033.00031.08322.3321
C52.25572.11081.25141.45003.00033.00032.33211.0832
H61.09502.04692.04693.00033.00031.78353.95113.9511
H71.09502.04692.04693.00033.00031.78353.95113.9511
H83.27092.06263.18051.08322.33213.95113.95112.9415
H93.27093.18052.06262.33211.08323.95113.95112.9415

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 120.020 C1 N3 C5 120.020
N2 C1 N3 94.916 N2 C1 H6 113.103
N2 C1 H7 113.103 N2 C4 C5 102.522
N2 C4 H8 123.967 N3 C1 H6 113.103
N3 C1 H7 113.103 N3 C5 C4 102.522
N3 C5 H9 123.967 C4 C5 H9 133.511
C5 C4 H8 133.511 H6 C1 H7 109.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.019      
2 N -0.296      
3 N -0.296      
4 C -0.013      
5 C -0.013      
6 H 0.176      
7 H 0.176      
8 H 0.124      
9 H 0.124      


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 -0.614 0.614
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.129 0.000 0.000
y 0.000 -34.847 0.000
z 0.000 0.000 -21.626
Traceless
 xyz
x 0.107 0.000 0.000
y 0.000 -9.969 0.000
z 0.000 0.000 9.862
Polar
3z2-r219.724
x2-y26.717
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.771 0.000 0.000
y 0.000 5.346 0.000
z 0.000 0.000 8.043


<r2> (average value of r2) Å2
<r2> 76.695
(<r2>)1/2 8.758