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

using model chemistry: B97D3/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 B97D3/STO-3G
 hartrees
Energy at 0K-223.119764
Energy at 298.15K-223.125264
HF Energy-223.119764
Nuclear repulsion energy162.752511
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/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 3386 3386 5.51      
2 A1 3226 3226 21.47      
3 A1 1721 1721 10.46      
4 A1 1481 1481 14.17      
5 A1 1357 1357 1.37      
6 A1 1303 1303 10.36      
7 A1 1017 1017 2.71      
8 A1 886 886 7.58      
9 A2 1147 1147 0.00      
10 A2 838 838 0.00      
11 A2 522 522 0.00      
12 B1 3325 3325 10.63      
13 B1 1011 1011 4.29      
14 B1 776 776 5.55      
15 B1 264 264 33.35      
16 B2 3368 3368 0.03      
17 B2 1759 1759 1.13      
18 B2 1318 1318 2.69      
19 B2 1225 1225 11.52      
20 B2 1057 1057 5.06      
21 B2 927 927 69.63      

Unscaled Zero Point Vibrational Energy (zpe) 15955.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15955.6 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/STO-3G
ABC
0.35453 0.28313 0.16262

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.257
N2 0.000 1.000 0.285
N3 0.000 -1.000 0.285
C4 0.000 0.742 -0.981
C5 0.000 -0.742 -0.981
H6 -0.922 0.000 1.889
H7 0.922 0.000 1.889
H8 0.000 1.519 -1.769
H9 0.000 -1.519 -1.769

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39441.39442.35772.35771.11761.11763.38543.3854
N21.39441.99921.29192.15282.10282.10282.11813.2494
N31.39441.99922.15281.29192.10282.10283.24942.1181
C42.35771.29192.15281.48343.10423.10421.10642.3937
C52.35772.15281.29191.48343.10423.10422.39371.1064
H61.11762.10282.10283.10423.10421.84374.06624.0662
H71.11762.10282.10283.10423.10421.84374.06624.0662
H83.38542.11813.24941.10642.39374.06624.06623.0373
H93.38543.24942.11812.39371.10644.06624.06623.0373

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 122.686 C1 N3 C5 122.686
N2 C1 N3 91.596 N2 C1 H6 113.214
N2 C1 H7 113.214 N2 C4 C5 101.516
N2 C4 H8 123.876 N3 C1 H6 113.214
N3 C1 H7 113.214 N3 C5 C4 101.516
N3 C5 H9 123.876 C4 C5 H9 134.609
C5 C4 H8 134.609 H6 C1 H7 111.145
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.002      
2 N -0.245      
3 N -0.245      
4 C 0.008      
5 C 0.008      
6 H 0.140      
7 H 0.140      
8 H 0.099      
9 H 0.099      


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 -0.148 0.148
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.022 0.000 0.000
y 0.000 -31.895 0.000
z 0.000 0.000 -21.433
Traceless
 xyz
x 0.642 0.000 0.000
y 0.000 -8.168 0.000
z 0.000 0.000 7.526
Polar
3z2-r215.052
x2-y25.873
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.641 0.000 0.000
y 0.000 2.765 0.000
z 0.000 0.000 5.324


<r2> (average value of r2) Å2
<r2> 78.981
(<r2>)1/2 8.887