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

using model chemistry: TPSSh/STO-3G

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/STO-3G
 hartrees
Energy at 0K-223.273732
Energy at 298.15K-223.279334
HF Energy-223.273732
Nuclear repulsion energy163.330948
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/STO-3G
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 3471 3471 10.86      
2 A1 3310 3310 30.19      
3 A1 1765 1765 8.76      
4 A1 1522 1522 13.05      
5 A1 1399 1399 4.09      
6 A1 1326 1326 8.43      
7 A1 1051 1051 1.62      
8 A1 916 916 8.50      
9 A2 1169 1169 0.00      
10 A2 873 873 0.00      
11 A2 539 539 0.00      
12 B1 3410 3410 15.32      
13 B1 1037 1037 5.25      
14 B1 803 803 4.92      
15 B1 279 279 33.81      
16 B2 3452 3452 0.31      
17 B2 1818 1818 1.14      
18 B2 1370 1370 3.35      
19 B2 1258 1258 9.62      
20 B2 1082 1082 8.18      
21 B2 937 937 66.83      

Unscaled Zero Point Vibrational Energy (zpe) 16393.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16393.5 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/STO-3G
ABC
0.35642 0.28558 0.16378

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.253
N2 0.000 1.000 0.282
N3 0.000 -1.000 0.282
C4 0.000 0.737 -0.976
C5 0.000 -0.737 -0.976
H6 -0.918 0.000 1.881
H7 0.918 0.000 1.881
H8 0.000 1.508 -1.762
H9 0.000 -1.508 -1.762

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39341.39342.34792.34791.11201.11203.37133.3713
N21.39341.99911.28552.14462.09692.09692.10683.2352
N31.39341.99912.14461.28552.09692.09693.23522.1068
C42.34791.28552.14461.47403.09003.09001.10092.3783
C52.34792.14461.28551.47403.09003.09002.37831.1009
H61.11202.09692.09693.09003.09001.83544.04834.0483
H71.11202.09692.09693.09003.09001.83544.04834.0483
H83.37132.10683.23521.10092.37834.04834.04833.0152
H93.37133.23522.10682.37831.10094.04834.04833.0152

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 122.376 C1 N3 C5 122.376
N2 C1 N3 91.676 N2 C1 H6 113.166
N2 C1 H7 113.166 N2 C4 C5 101.786
N2 C4 H8 123.788 N3 C1 H6 113.166
N3 C1 H7 113.166 N3 C5 C4 101.786
N3 C5 H9 123.788 C4 C5 H9 134.426
C5 C4 H8 134.426 H6 C1 H7 111.243
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.003      
2 N -0.249      
3 N -0.249      
4 C 0.010      
5 C 0.010      
6 H 0.139      
7 H 0.139      
8 H 0.098      
9 H 0.098      


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 -0.154 0.154
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 1.617 0.000 0.000
y 0.000 2.675 0.000
z 0.000 0.000 5.236


<r2> (average value of r2) Å2
<r2> 78.549
(<r2>)1/2 8.863