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

using model chemistry: TPSSh/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/6-31G*
 hartrees
Energy at 0K-226.132094
Energy at 298.15K-226.138079
HF Energy-226.132094
Nuclear repulsion energy166.517978
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 TPSSh/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 A1 3241 3110 20.92      
2 A1 3081 2956 0.29      
3 A1 1717 1647 20.54      
4 A1 1441 1383 7.73      
5 A1 1407 1350 10.75      
6 A1 1266 1215 5.57      
7 A1 1040 998 2.03      
8 A1 926 888 13.00      
9 A2 1156 1109 0.00      
10 A2 914 877 0.00      
11 A2 542 520 0.00      
12 B1 3120 2994 0.16      
13 B1 1018 976 17.93      
14 B1 824 790 4.06      
15 B1 365 350 40.10      
16 B2 3225 3094 15.75      
17 B2 1782 1709 0.31      
18 B2 1396 1340 33.63      
19 B2 1254 1203 1.66      
20 B2 1093 1049 31.62      
21 B2 919 882 77.28      

Unscaled Zero Point Vibrational Energy (zpe) 15863.0 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 15218.9 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 TPSSh/6-31G*
ABC
0.36209 0.30290 0.17031

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.204
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.727 -0.949
C5 0.000 -0.727 -0.949
H6 -0.895 0.000 1.836
H7 0.895 0.000 1.836
H8 0.000 1.479 -1.730
H9 0.000 -1.479 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35791.35792.27202.27201.09581.09583.28573.2857
N21.35791.99391.25972.11832.05192.05192.06903.1907
N31.35791.99392.11831.25972.05192.05193.19072.0690
C42.27201.25972.11831.45463.01413.01411.08462.3410
C52.27202.11831.25971.45463.01413.01412.34101.0846
H61.09582.05192.05193.01413.01411.78993.96323.9632
H71.09582.05192.05193.01413.01411.78993.96323.9632
H83.28572.06903.19071.08462.34103.96323.96322.9588
H93.28573.19072.06902.34101.08463.96323.96322.9588

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 120.401 C1 N3 C5 120.401
N2 C1 N3 94.480 N2 C1 H6 113.065
N2 C1 H7 113.065 N2 C4 C5 102.359
N2 C4 H8 123.737 N3 C1 H6 113.065
N3 C1 H7 113.065 N3 C5 C4 102.359
N3 C5 H9 123.737 C4 C5 H9 133.904
C5 C4 H8 133.904 H6 C1 H7 109.514
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.061      
2 N -0.370      
3 N -0.370      
4 C -0.005      
5 C -0.005      
6 H 0.227      
7 H 0.227      
8 H 0.179      
9 H 0.179      


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 -0.591 0.591
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.366 0.000 0.000
y 0.000 5.101 0.000
z 0.000 0.000 7.865


<r2> (average value of r2) Å2
<r2> 77.021
(<r2>)1/2 8.776