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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-226.167122
Energy at 298.15K-226.173085
HF Energy-226.167122
Nuclear repulsion energy161.260403
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/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3229 3089 13.01      
2 A' 3207 3067 9.38      
3 A' 3068 2934 1.73      
4 A' 1692 1619 49.30      
5 A' 1593 1524 13.62      
6 A' 1414 1353 23.66      
7 A' 1331 1273 29.35      
8 A' 1315 1258 6.71      
9 A' 1270 1215 6.08      
10 A' 1057 1011 57.46      
11 A' 1025 980 18.88      
12 A' 949 908 3.66      
13 A' 895 856 2.55      
14 A' 890 851 14.70      
15 A" 3107 2972 1.72      
16 A" 1171 1120 0.26      
17 A" 1016 972 15.59      
18 A" 975 932 0.07      
19 A" 766 732 5.86      
20 A" 572 548 24.45      
21 A" 373 357 7.59      

Unscaled Zero Point Vibrational Energy (zpe) 15456.3 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 14783.9 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/6-311G**
ABC
0.32309 0.29515 0.15879

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.195 0.351 0.000
C2 0.000 1.133 0.000
N3 1.109 0.507 0.000
C4 0.736 -0.896 0.000
C5 -0.765 -0.853 0.000
H6 -0.080 2.214 0.000
H7 1.142 -1.403 0.882
H8 1.142 -1.403 -0.882
H9 -1.430 -1.712 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42822.30932.29841.27842.17143.05203.05202.0756
C21.42821.27342.15802.12821.08432.91752.91753.1836
N32.30931.27341.45142.31552.08072.10392.10393.3716
C42.29842.15801.45141.50163.21531.09521.09522.3145
C51.27842.12822.31551.50163.14282.17172.17171.0858
H62.17141.08432.08073.21533.14283.91863.91864.1512
H73.05202.91752.10391.09522.17173.91861.76332.7363
H83.05202.91752.10391.09522.17173.91861.76332.7363
H92.07563.18363.37162.31451.08584.15122.73632.7363

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.357 N1 C2 H6 118.952
N1 C5 C4 111.286 N1 C5 H9 122.580
C2 N1 C5 103.544 C2 N3 C4 104.549
N3 C2 H6 123.690 N3 C4 C5 103.264
N3 C4 H7 110.631 N3 C4 H8 110.631
C4 C5 H9 126.134 C5 C4 H7 112.565
C5 C4 H8 112.565 H7 C4 H8 107.221
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.277      
2 C 0.122      
3 N -0.289      
4 C -0.155      
5 C -0.003      
6 H 0.134      
7 H 0.167      
8 H 0.167      
9 H 0.133      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.031 -2.120 0.000 2.121
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.097 -0.623 0.000
y -0.623 -23.656 0.000
z 0.000 0.000 -28.688
Traceless
 xyz
x -8.925 -0.623 0.000
y -0.623 8.236 0.000
z 0.000 0.000 0.689
Polar
3z2-r21.378
x2-y2-11.441
xy-0.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.312 -0.397 0.000
y -0.397 7.436 0.000
z 0.000 0.000 3.863


<r2> (average value of r2) Å2
<r2> 81.017
(<r2>)1/2 9.001