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

using model chemistry: wB97X-D/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.193796
Energy at 298.15K-226.199771
HF Energy-226.193796
Nuclear repulsion energy161.568460
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/aug-cc-pVTZ
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' 3231 3091 10.33      
2 A' 3210 3070 8.14      
3 A' 3070 2937 2.53      
4 A' 1685 1612 53.93      
5 A' 1586 1517 14.71      
6 A' 1415 1353 23.12      
7 A' 1334 1276 29.55      
8 A' 1316 1259 8.36      
9 A' 1273 1218 4.57      
10 A' 1057 1011 56.05      
11 A' 1024 979 18.72      
12 A' 951 910 3.43      
13 A' 892 853 1.97      
14 A' 887 849 12.23      
15 A" 3107 2972 0.55      
16 A" 1175 1124 0.34      
17 A" 1019 975 15.52      
18 A" 978 936 0.03      
19 A" 769 735 4.73      
20 A" 571 546 23.06      
21 A" 378 361 5.93      

Unscaled Zero Point Vibrational Energy (zpe) 15463.1 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 14792.0 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/aug-cc-pVTZ
ABC
0.32364 0.29692 0.15940

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.191 0.350 0.000
C2 0.000 1.134 0.000
N3 1.105 0.506 0.000
C4 0.734 -0.896 0.000
C5 -0.763 -0.853 0.000
H6 -0.080 2.213 0.000
H7 1.138 -1.403 0.880
H8 1.138 -1.403 -0.880
H9 -1.425 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42562.30112.29251.27632.16923.04413.04412.0723
C21.42561.27102.15802.12761.08202.91572.91573.1803
N32.30111.27101.44982.30952.07782.10172.10173.3631
C42.29252.15801.44981.49723.21321.09261.09262.3076
C51.27632.12762.30951.49723.14052.16512.16511.0832
H62.16921.08202.07783.21323.14053.91503.91504.1465
H73.04412.91572.10171.09262.16513.91501.75902.7272
H83.04412.91572.10171.09262.16513.91501.75902.7272
H92.07233.18033.36312.30761.08324.14652.72722.7272

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 117.037 N1 C2 H6 119.143
N1 C5 C4 111.250 N1 C5 H9 122.669
C2 N1 C5 103.761 C2 N3 C4 104.769
N3 C2 H6 123.821 N3 C4 C5 103.183
N3 C4 H7 110.734 N3 C4 H8 110.734
C4 C5 H9 126.081 C5 C4 H7 112.506
C5 C4 H8 112.506 H7 C4 H8 107.220
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.414      
2 C -0.201      
3 N -0.519      
4 C 0.008      
5 C -0.363      
6 H 0.481      
7 H 0.262      
8 H 0.262      
9 H 0.484      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.012 -2.131 0.000 2.131
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.450 -0.647 0.000
y -0.647 -23.783 0.000
z 0.000 0.000 -28.930
Traceless
 xyz
x -9.094 -0.647 0.000
y -0.647 8.407 0.000
z 0.000 0.000 0.687
Polar
3z2-r21.374
x2-y2-11.668
xy-0.647
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.525 -0.295 0.000
y -0.295 8.089 0.000
z 0.000 0.000 4.972


<r2> (average value of r2) Å2
<r2> 80.927
(<r2>)1/2 8.996