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

using model chemistry: B97D3/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-31G(2df,p)
 hartrees
Energy at 0K-225.983105
Energy at 298.15K-225.989053
HF Energy-225.983105
Nuclear repulsion energy166.283137
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 B97D3/6-31G(2df,p)
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 3156 3156 24.74      
2 A1 2993 2993 1.16      
3 A1 1669 1669 20.71      
4 A1 1371 1371 3.11      
5 A1 1349 1349 18.06      
6 A1 1234 1234 6.21      
7 A1 1012 1012 3.73      
8 A1 900 900 11.86      
9 A2 1117 1117 0.00      
10 A2 897 897 0.00      
11 A2 536 536 0.00      
12 B1 3028 3028 0.01      
13 B1 982 982 15.42      
14 B1 804 804 3.27      
15 B1 363 363 35.60      
16 B2 3140 3140 15.88      
17 B2 1725 1725 0.19      
18 B2 1336 1336 31.90      
19 B2 1208 1208 1.90      
20 B2 1061 1061 21.91      
21 B2 928 928 80.72      

Unscaled Zero Point Vibrational Energy (zpe) 15404.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15404.4 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 B97D3/6-31G(2df,p)
ABC
0.36080 0.30216 0.16979

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G(2df,p)

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 -0.950
C5 0.000 -0.731 -0.950
H6 -0.895 0.000 1.844
H7 0.895 0.000 1.844
H8 0.000 1.484 -1.735
H9 0.000 -1.484 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35711.35712.27382.27381.10051.10053.29173.2917
N21.35711.99371.26052.12252.05732.05732.07533.1976
N31.35711.99372.12251.26052.05732.05733.19762.0753
C42.27381.26052.12251.46283.02333.02331.08762.3505
C52.27382.12251.26051.46283.02333.02332.35051.0876
H61.10052.05732.05733.02333.02331.78963.97633.9763
H71.10052.05732.05733.02333.02331.78963.97633.9763
H83.29172.07533.19761.08762.35053.97633.97632.9681
H93.29173.19762.07532.35051.08763.97633.97632.9681

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 120.571 C1 N3 C5 120.571
N2 C1 N3 94.542 N2 C1 H6 113.266
N2 C1 H7 113.266 N2 C4 C5 102.158
N2 C4 H8 124.052 N3 C1 H6 113.266
N3 C1 H7 113.266 N3 C5 C4 102.158
N3 C5 H9 124.052 C4 C5 H9 133.790
C5 C4 H8 133.790 H6 C1 H7 108.796
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.146      
2 N -0.131      
3 N -0.131      
4 C -0.094      
5 C -0.094      
6 H 0.168      
7 H 0.168      
8 H 0.130      
9 H 0.130      


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 -0.549 0.549
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.682 0.000 0.000
y 0.000 -33.966 0.000
z 0.000 0.000 -21.760
Traceless
 xyz
x 0.181 0.000 0.000
y 0.000 -9.246 0.000
z 0.000 0.000 9.065
Polar
3z2-r218.129
x2-y26.284
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.760 0.000 0.000
y 0.000 5.564 0.000
z 0.000 0.000 8.141


<r2> (average value of r2) Å2
<r2> 77.151
(<r2>)1/2 8.784