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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-226.044868
Energy at 298.15K-226.050909
HF Energy-226.044868
Nuclear repulsion energy165.334375
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 3293 3168 13.24      
2 A1 3105 2987 0.71      
3 A1 1673 1610 23.71      
4 A1 1457 1402 21.51      
5 A1 1378 1326 3.28      
6 A1 1256 1208 8.76      
7 A1 1036 997 6.69      
8 A1 925 890 9.33      
9 A2 1162 1118 0.00      
10 A2 919 884 0.00      
11 A2 557 536 0.00      
12 B1 3152 3033 0.14      
13 B1 1039 999 17.78      
14 B1 838 806 10.41      
15 B1 389 374 52.59      
16 B2 3275 3151 11.52      
17 B2 1732 1666 0.00      
18 B2 1345 1294 11.02      
19 B2 1268 1220 3.24      
20 B2 1080 1039 35.48      
21 B2 941 906 83.68      

Unscaled Zero Point Vibrational Energy (zpe) 15910.4 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 15307.4 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
0.35987 0.29615 0.16765

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 1.221
N2 0.000 0.998 0.284
N3 0.000 -0.998 0.284
C4 0.000 0.734 -0.961
C5 0.000 -0.734 -0.961
H6 -0.893 0.000 1.851
H7 0.893 0.000 1.851
H8 0.000 1.480 -1.739
H9 0.000 -1.480 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36921.36922.30222.30221.09241.09243.31023.3102
N21.36921.99611.27242.13282.06122.06122.08013.1993
N31.36921.99612.13281.27242.06122.06123.19932.0801
C42.30221.27242.13281.46773.03993.03991.07852.3469
C52.30222.13281.27241.46773.03993.03992.34691.0785
H61.09242.06122.06123.03993.03991.78543.98483.9848
H71.09242.06122.06123.03993.03991.78543.98483.9848
H83.31022.08013.19931.07852.34693.98483.98482.9600
H93.31023.19932.08012.34691.07853.98483.98482.9600

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 121.223 C1 N3 C5 121.223
N2 C1 N3 93.589 N2 C1 H6 113.241
N2 C1 H7 113.241 N2 C4 C5 101.982
N2 C4 H8 124.244 N3 C1 H6 113.241
N3 C1 H7 113.241 N3 C5 C4 101.982
N3 C5 H9 124.244 C4 C5 H9 133.774
C5 C4 H8 133.774 H6 C1 H7 109.609
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 -0.084      
2 N -0.392      
3 N -0.392      
4 C -0.008      
5 C -0.008      
6 H 0.250      
7 H 0.250      
8 H 0.192      
9 H 0.192      


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 -0.523 0.523
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 3.210 0.000 0.000
y 0.000 4.877 0.000
z 0.000 0.000 7.868


<r2> (average value of r2) Å2
<r2> 78.207
(<r2>)1/2 8.843