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

using model chemistry: B97D3/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-311G*
 hartrees
Energy at 0K-226.020084
Energy at 298.15K-226.026031
HF Energy-226.020084
Nuclear repulsion energy166.330902
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 B97D3/6-311G*
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 3148 3148 32.38      
2 A1 3001 3001 1.50      
3 A1 1660 1660 20.42      
4 A1 1384 1384 8.69      
5 A1 1361 1361 16.56      
6 A1 1235 1235 7.71      
7 A1 1011 1011 3.73      
8 A1 901 901 12.66      
9 A2 1127 1127 0.00      
10 A2 883 883 0.00      
11 A2 535 535 0.00      
12 B1 3033 3033 0.39      
13 B1 989 989 17.64      
14 B1 800 800 7.32      
15 B1 364 364 37.11      
16 B2 3133 3133 18.73      
17 B2 1717 1717 1.55      
18 B2 1345 1345 39.46      
19 B2 1211 1211 2.49      
20 B2 1062 1062 26.35      
21 B2 933 933 80.04      

Unscaled Zero Point Vibrational Energy (zpe) 15417.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15417.7 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 B97D3/6-311G*
ABC
0.36083 0.30249 0.16990

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.203
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.731 -0.949
C5 0.000 -0.731 -0.949
H6 -0.895 0.000 1.842
H7 0.895 0.000 1.842
H8 0.000 1.487 -1.731
H9 0.000 -1.487 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35681.35682.27322.27321.09911.09913.28993.2899
N21.35681.99371.26042.12192.05542.05542.07293.1981
N31.35681.99372.12191.26042.05542.05543.19812.0729
C42.27321.26042.12191.46163.02073.02071.08812.3520
C52.27322.12191.26041.46163.02073.02072.35201.0881
H61.09912.05542.05543.02073.02071.78933.97233.9723
H71.09912.05542.05543.02073.02071.78933.97233.9723
H83.28992.07293.19811.08812.35203.97233.97232.9749
H93.28993.19812.07292.35201.08813.97233.97232.9749

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 120.534 C1 N3 C5 120.534
N2 C1 N3 94.561 N2 C1 H6 113.211
N2 C1 H7 113.211 N2 C4 C5 102.185
N2 C4 H8 123.756 N3 C1 H6 113.211
N3 C1 H7 113.211 N3 C5 C4 102.185
N3 C5 H9 123.756 C4 C5 H9 134.059
C5 C4 H8 134.059 H6 C1 H7 108.965
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.202      
2 N -0.241      
3 N -0.241      
4 C -0.102      
5 C -0.102      
6 H 0.247      
7 H 0.247      
8 H 0.197      
9 H 0.197      


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 -0.532 0.532
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.128 0.000 0.000
y 0.000 -34.765 0.000
z 0.000 0.000 -21.831
Traceless
 xyz
x 0.170 0.000 0.000
y 0.000 -9.785 0.000
z 0.000 0.000 9.615
Polar
3z2-r219.230
x2-y26.637
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.785 0.000 0.000
y 0.000 5.580 0.000
z 0.000 0.000 8.237


<r2> (average value of r2) Å2
<r2> 77.383
(<r2>)1/2 8.797