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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-226.137161
Energy at 298.15K-226.143152
HF Energy-226.137161
Nuclear repulsion energy166.523021
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
(Å4/u)
Dep P Dep U
1 A1 3234 3101 18.91      
2 A1 3071 2944 0.24      
3 A1 1714 1643 19.77      
4 A1 1428 1369 4.87      
5 A1 1401 1343 14.95      
6 A1 1264 1212 5.63      
7 A1 1039 996 1.96      
8 A1 925 886 13.06      
9 A2 1146 1099 0.00      
10 A2 916 878 0.00      
11 A2 541 519 0.00      
12 B1 3111 2982 0.07      
13 B1 1009 968 18.72      
14 B1 823 789 3.50      
15 B1 364 349 40.31      
16 B2 3218 3085 14.93      
17 B2 1780 1706 0.32      
18 B2 1391 1334 33.94      
19 B2 1248 1196 1.18      
20 B2 1088 1043 31.01      
21 B2 918 880 78.02      

Unscaled Zero Point Vibrational Energy (zpe) 15813.5 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 15160.4 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
0.36222 0.30284 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 -0.894 0.000 1.837
H7 0.894 0.000 1.837
H8 0.000 1.478 -1.730
H9 0.000 -1.478 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35771.35772.27192.27191.09561.09563.28553.2855
N21.35771.99391.26002.11832.05202.05202.06933.1900
N31.35771.99392.11831.26002.05202.05203.19002.0693
C42.27191.26002.11831.45433.01463.01461.08412.3398
C52.27192.11831.26001.45433.01463.01462.33981.0841
H61.09562.05202.05203.01463.01461.78823.96363.9636
H71.09562.05202.05203.01463.01461.78823.96363.9636
H83.28552.06933.19001.08412.33983.96363.96362.9563
H93.28553.19002.06932.33981.08413.96363.96362.9563

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 120.391 C1 N3 C5 120.391
N2 C1 N3 94.491 N2 C1 H6 113.100
N2 C1 H7 113.100 N2 C4 C5 102.363
N2 C4 H8 123.786 N3 C1 H6 113.100
N3 C1 H7 113.100 N3 C5 C4 102.363
N3 C5 H9 123.786 C4 C5 H9 133.850
C5 C4 H8 133.850 H6 C1 H7 109.390
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 0.046      
2 N -0.398      
3 N -0.398      
4 C 0.046      
5 C 0.046      
6 H 0.189      
7 H 0.189      
8 H 0.140      
9 H 0.140      


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 -0.576 0.576
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 3.406 0.000 0.000
y 0.000 5.144 0.000
z 0.000 0.000 7.926


<r2> (average value of r2) Å2
<r2> 77.009
(<r2>)1/2 8.775