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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-226.161373
Energy at 298.15K-226.167330
HF Energy-226.161373
Nuclear repulsion energy 
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' 3235 3235 17.29      
2 A' 3213 3213 13.57      
3 A' 3074 3074 2.82      
4 A' 1697 1697 50.45      
5 A' 1598 1598 13.92      
6 A' 1433 1433 23.71      
7 A' 1340 1340 29.13      
8 A' 1324 1324 7.39      
9 A' 1281 1281 6.33      
10 A' 1061 1061 59.04      
11 A' 1028 1028 17.62      
12 A' 950 950 3.75      
13 A' 897 897 2.34      
14 A' 891 891 14.74      
15 A" 3112 3112 2.86      
16 A" 1185 1185 0.29      
17 A" 1017 1017 15.11      
18 A" 971 971 0.02      
19 A" 767 767 6.71      
20 A" 573 573 23.92      
21 A" 373 373 7.60      

Unscaled Zero Point Vibrational Energy (zpe) 15509.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15509.2 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
0.32352 0.29493 0.15882

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 0.355 0.000
C2 0.000 1.130 0.000
N3 1.112 0.504 0.000
C4 0.732 -0.896 0.000
C5 -0.764 -0.851 0.000
H6 -0.074 2.211 0.000
H7 1.141 -1.405 0.880
H8 1.141 -1.405 -0.880
H9 -1.437 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42402.31122.29721.28092.16833.05413.05412.0723
C21.42401.27582.15412.12311.08432.91592.91593.1763
N32.31121.27581.45062.31372.07912.10242.10243.3712
C42.29722.15411.45061.49623.21051.09581.09582.3138
C51.28092.12312.31371.49623.13932.16982.16981.0856
H62.16831.08432.07913.21053.13933.91573.91574.1448
H73.05412.91592.10241.09582.16983.91571.75992.7397
H83.05412.91592.10241.09582.16983.91571.75992.7397
H92.07233.17633.37122.31381.08564.14482.73972.7397

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 117.656 N1 C2 H6 119.027
N1 C5 C4 111.384 N1 C5 H9 122.027
C2 N1 C5 103.300 C2 N3 C4 104.202
N3 C2 H6 123.317 N3 C4 C5 103.458
N3 C4 H7 110.533 N3 C4 H8 110.533
C4 C5 H9 126.589 C5 C4 H7 112.763
C5 C4 H8 112.763 H7 C4 H8 106.842
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 -0.269      
2 C 0.020      
3 N -0.258      
4 C -0.410      
5 C -0.059      
6 H 0.230      
7 H 0.260      
8 H 0.260      
9 H 0.225      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.017 -2.125 0.000 2.125
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.096 -0.605 0.000
y -0.605 -23.658 0.000
z 0.000 0.000 -28.750
Traceless
 xyz
x -8.892 -0.605 0.000
y -0.605 8.265 0.000
z 0.000 0.000 0.627
Polar
3z2-r21.253
x2-y2-11.438
xy-0.605
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.279 -0.405 0.000
y -0.405 7.380 0.000
z 0.000 0.000 3.808


<r2> (average value of r2) Å2
<r2> 81.019
(<r2>)1/2 9.001