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

using model chemistry: TPSSh/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.218268
Energy at 298.15K-226.224284
HF Energy-226.218268
Nuclear repulsion energy166.880155
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/aug-cc-pVTZ
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 3207 3095 17.51      
2 A1 3050 2944 0.07      
3 A1 1682 1624 23.43      
4 A1 1409 1360 2.72      
5 A1 1387 1338 27.63      
6 A1 1248 1204 4.28      
7 A1 1030 994 1.16      
8 A1 925 892 10.73      
9 A2 1141 1102 0.00      
10 A2 926 893 0.00      
11 A2 543 524 0.00      
12 B1 3084 2977 0.91      
13 B1 1004 969 22.76      
14 B1 828 799 4.87      
15 B1 369 356 36.14      
16 B2 3192 3081 6.40      
17 B2 1750 1690 0.80      
18 B2 1376 1328 34.30      
19 B2 1241 1198 2.03      
20 B2 1078 1040 35.30      
21 B2 925 893 69.53      

Unscaled Zero Point Vibrational Energy (zpe) 15695.5 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 15149.3 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/aug-cc-pVTZ
ABC
0.36291 0.30474 0.17104

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.892 0.000 1.832
H7 0.892 0.000 1.832
H8 0.000 1.474 -1.727
H9 0.000 -1.474 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35621.35622.26492.26491.09371.09373.27713.2771
N21.35621.99351.25552.11422.04892.04892.06333.1833
N31.35621.99352.11421.25552.04892.04893.18332.0633
C42.26491.25552.11421.45163.00643.00641.08182.3344
C52.26492.11421.25551.45163.00643.00642.33441.0818
H61.09372.04892.04893.00643.00641.78493.95423.9542
H71.09372.04892.04893.00643.00641.78493.95423.9542
H83.27712.06333.18331.08182.33443.95423.95422.9478
H93.27713.18332.06332.33441.08183.95423.95422.9478

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 120.229 C1 N3 C5 120.229
N2 C1 N3 94.612 N2 C1 H6 113.075
N2 C1 H7 113.075 N2 C4 C5 102.464
N2 C4 H8 123.785 N3 C1 H6 113.075
N3 C1 H7 113.075 N3 C5 C4 102.464
N3 C5 H9 123.785 C4 C5 H9 133.751
C5 C4 H8 133.751 H6 C1 H7 109.378
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.239      
2 N -0.515      
3 N -0.515      
4 C -0.085      
5 C -0.085      
6 H 0.159      
7 H 0.159      
8 H 0.321      
9 H 0.321      


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 -0.809 0.809
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 4.956 0.000 0.000
y 0.000 7.425 0.000
z 0.000 0.000 8.775


<r2> (average value of r2) Å2
<r2> 77.256
(<r2>)1/2 8.790