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

using model chemistry: B3PW91/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 B3PW91/STO-3G
 hartrees
Energy at 0K-223.145973
Energy at 298.15K-223.151625
HF Energy-223.145973
Nuclear repulsion energy163.688347
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 B3PW91/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 3491 3090 13.50      
2 A1 3329 2946 31.86      
3 A1 1787 1581 8.74      
4 A1 1520 1345 15.96      
5 A1 1407 1245 5.67      
6 A1 1333 1180 8.86      
7 A1 1064 942 1.46      
8 A1 933 826 8.82      
9 A2 1177 1042 0.00      
10 A2 889 787 0.00      
11 A2 549 486 0.00      
12 B1 3430 3035 17.36      
13 B1 1038 919 4.47      
14 B1 813 719 5.34      
15 B1 295 261 35.29      
16 B2 3473 3074 0.79      
17 B2 1845 1633 1.59      
18 B2 1381 1222 3.02      
19 B2 1265 1120 8.67      
20 B2 1091 965 10.45      
21 B2 950 841 67.60      

Unscaled Zero Point Vibrational Energy (zpe) 16529.0 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 14628.1 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 B3PW91/STO-3G
ABC
0.35733 0.28729 0.16450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.249
N2 0.000 0.999 0.282
N3 0.000 -0.999 0.282
C4 0.000 0.736 -0.972
C5 0.000 -0.736 -0.972
H6 -0.915 0.000 1.877
H7 0.915 0.000 1.877
H8 0.000 1.498 -1.764
H9 0.000 -1.498 -1.764

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39051.39052.33952.33951.11031.11033.36433.3643
N21.39051.99891.28152.14092.09332.09332.10553.2285
N31.39051.99892.14091.28152.09332.09333.22852.1055
C42.33951.28152.14091.47133.08203.08201.09912.3700
C52.33952.14091.28151.47133.08203.08202.37001.0991
H61.11032.09332.09333.08203.08201.83024.04224.0422
H71.11032.09332.09333.08203.08201.83024.04224.0422
H83.36432.10553.22851.09912.37004.04224.04222.9966
H93.36433.22852.10552.37001.09914.04224.04222.9966

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 122.169 C1 N3 C5 122.169
N2 C1 N3 91.905 N2 C1 H6 113.186
N2 C1 H7 113.186 N2 C4 C5 101.879
N2 C4 H8 124.183 N3 C1 H6 113.186
N3 C1 H7 113.186 N3 C5 C4 101.879
N3 C5 H9 124.183 C4 C5 H9 133.939
C5 C4 H8 133.939 H6 C1 H7 111.014
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.017      
2 N -0.248      
3 N -0.248      
4 C 0.002      
5 C 0.002      
6 H 0.147      
7 H 0.147      
8 H 0.106      
9 H 0.106      


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 -0.182 0.182
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.952 0.000 0.000
y 0.000 -31.961 0.000
z 0.000 0.000 -21.292
Traceless
 xyz
x 0.675 0.000 0.000
y 0.000 -8.339 0.000
z 0.000 0.000 7.664
Polar
3z2-r215.328
x2-y26.009
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.599 0.000 0.000
y 0.000 2.610 0.000
z 0.000 0.000 5.181


<r2> (average value of r2) Å2
<r2> 78.212
(<r2>)1/2 8.844