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

using model chemistry: wB97X-D/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-31+G**
 hartrees
Energy at 0K-226.127567
Energy at 298.15K-226.133569
HF Energy-226.127567
Nuclear repulsion energy160.922517
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 wB97X-D/6-31+G**
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 3242 3087 15.74      
2 A1 3083 2936 1.31      
3 A1 1601 1524 5.77      
4 A1 1413 1346 23.25      
5 A1 1353 1289 14.69      
6 A1 1026 977 0.54      
7 A1 983 936 1.58      
8 A1 858 817 5.60      
9 A2 1201 1144 0.00      
10 A2 991 943 0.00      
11 A2 579 552 0.00      
12 B1 3126 2977 0.46      
13 B1 1030 981 31.11      
14 B1 847 806 1.55      
15 B1 389 370 33.78      
16 B2 3229 3075 7.09      
17 B2 1698 1617 1.24      
18 B2 1319 1256 2.39      
19 B2 1275 1214 0.33      
20 B2 1011 962 72.26      
21 B2 909 866 15.60      

Unscaled Zero Point Vibrational Energy (zpe) 15580.1 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 14836.9 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 wB97X-D/6-31+G**
ABC
0.32569 0.29063 0.15809

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.148
N2 0.000 1.091 0.285
N3 0.000 -1.091 0.285
C4 0.000 0.746 -0.915
C5 0.000 -0.746 -0.915
H6 -0.888 0.000 1.775
H7 0.888 0.000 1.775
H8 0.000 1.454 -1.725
H9 0.000 -1.454 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39081.39082.19312.19311.08721.08723.22033.2203
N21.39082.18181.24842.19362.04902.04902.04313.2433
N31.39082.18182.19361.24842.04902.04903.24332.0431
C42.19311.24842.19361.49112.92892.92891.07682.3443
C52.19312.19361.24841.49112.92892.92892.34431.0768
H61.08722.04902.04902.92892.92891.77633.89303.8930
H71.08722.04902.04902.92892.92891.77633.89303.8930
H83.22032.04313.24331.07682.34433.89303.89302.9082
H93.22033.24332.04312.34431.07683.89303.89302.9082

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 112.280 C1 N3 C5 112.280
N2 C1 N3 103.322 N2 C1 H6 110.964
N2 C1 H7 110.964 N2 C4 C5 106.059
N2 C4 H8 122.791 N3 C1 H6 110.964
N3 C1 H7 110.964 N3 C5 C4 106.059
N3 C5 H9 122.791 C4 C5 H9 131.150
C5 C4 H8 131.150 H6 C1 H7 109.550
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.228      
2 N -0.232      
3 N -0.232      
4 C -0.023      
5 C -0.023      
6 H 0.198      
7 H 0.198      
8 H 0.171      
9 H 0.171      


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 -1.299 1.299
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.169 0.000 0.000
y 0.000 -36.516 0.000
z 0.000 0.000 -22.917
Traceless
 xyz
x 0.547 0.000 0.000
y 0.000 -10.473 0.000
z 0.000 0.000 9.926
Polar
3z2-r219.852
x2-y27.347
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.513 0.000 0.000
y 0.000 6.522 0.000
z 0.000 0.000 8.440


<r2> (average value of r2) Å2
<r2> 81.498
(<r2>)1/2 9.028