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

using model chemistry: wB97X-D/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-226.128084
Energy at 298.15K-226.134049
HF Energy-226.128084
Nuclear repulsion energy160.963689
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/cc-pVDZ
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' 3264 3109 10.45      
2 A' 3239 3085 7.30      
3 A' 3081 2935 1.66      
4 A' 1696 1615 53.83      
5 A' 1597 1521 16.52      
6 A' 1421 1354 23.26      
7 A' 1340 1277 30.10      
8 A' 1322 1260 7.45      
9 A' 1278 1217 5.30      
10 A' 1064 1014 58.53      
11 A' 1030 981 19.30      
12 A' 953 908 2.99      
13 A' 894 851 2.01      
14 A' 887 845 10.98      
15 A" 3125 2977 0.57      
16 A" 1172 1116 0.25      
17 A" 1017 969 17.26      
18 A" 974 928 0.08      
19 A" 767 731 5.76      
20 A" 571 544 24.87      
21 A" 373 355 7.16      

Unscaled Zero Point Vibrational Energy (zpe) 15531.2 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 14795.0 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/cc-pVDZ
ABC
0.32150 0.29453 0.15824

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.355 0.000
C2 0.000 1.138 0.000
N3 1.111 0.504 0.000
C4 0.736 -0.900 0.000
C5 -0.766 -0.855 0.000
H6 -0.078 2.220 0.000
H7 1.142 -1.408 0.883
H8 1.142 -1.408 -0.883
H9 -1.432 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42922.31122.30331.28352.17443.05793.05792.0822
C21.42921.27852.16632.13491.08522.92632.92633.1911
N32.31121.27851.45332.31772.08732.10652.10653.3745
C42.30332.16631.45331.50333.22431.09651.09652.3160
C51.28352.13492.31771.50333.15102.17432.17431.0868
H62.17441.08522.08733.22433.15103.92813.92814.1605
H73.05792.92632.10651.09652.17433.92811.76542.7385
H83.05792.92632.10651.09652.17433.92811.76542.7385
H92.08223.19113.37452.31601.08684.16052.73852.7385

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 117.094 N1 C2 H6 119.083
N1 C5 C4 111.240 N1 C5 H9 122.705
C2 N1 C5 103.688 C2 N3 C4 104.750
N3 C2 H6 123.824 N3 C4 C5 103.229
N3 C4 H7 110.633 N3 C4 H8 110.633
C4 C5 H9 126.055 C5 C4 H7 112.577
C5 C4 H8 112.577 H7 C4 H8 107.228
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.229      
2 C 0.015      
3 N -0.246      
4 C -0.274      
5 C -0.007      
6 H 0.167      
7 H 0.200      
8 H 0.200      
9 H 0.173      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.019 -2.283 0.000 2.283
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.997 -0.688 0.000
y -0.688 -23.717 0.000
z 0.000 0.000 -29.127
Traceless
 xyz
x -9.576 -0.688 0.000
y -0.688 8.845 0.000
z 0.000 0.000 0.730
Polar
3z2-r21.461
x2-y2-12.281
xy-0.688
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.094 -0.376 0.000
y -0.376 7.375 0.000
z 0.000 0.000 3.657


<r2> (average value of r2) Å2
<r2> 81.520
(<r2>)1/2 9.029