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

using model chemistry: wB97X-D/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/cc-pVTZ
 hartrees
Energy at 0K-226.190288
Energy at 298.15K-226.196266
HF Energy-226.190288
Nuclear repulsion energy161.551627
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-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' 3230 3088 11.64      
2 A' 3209 3068 9.20      
3 A' 3071 2936 2.16      
4 A' 1688 1614 50.81      
5 A' 1589 1519 13.59      
6 A' 1416 1353 22.39      
7 A' 1334 1275 29.70      
8 A' 1316 1258 7.55      
9 A' 1273 1217 5.39      
10 A' 1058 1011 56.16      
11 A' 1023 978 18.06      
12 A' 951 910 3.47      
13 A' 893 854 2.14      
14 A' 889 850 14.94      
15 A" 3108 2971 0.82      
16 A" 1174 1122 0.30      
17 A" 1019 975 14.85      
18 A" 978 935 0.05      
19 A" 769 735 4.90      
20 A" 572 547 23.26      
21 A" 380 364 6.41      

Unscaled Zero Point Vibrational Energy (zpe) 15469.9 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 14789.3 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-pVTZ
ABC
0.32382 0.29663 0.15936

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.192 0.350 0.000
C2 0.000 1.132 0.000
N3 1.106 0.506 0.000
C4 0.734 -0.895 0.000
C5 -0.763 -0.852 0.000
H6 -0.080 2.211 0.000
H7 1.138 -1.402 0.879
H8 1.138 -1.402 -0.879
H9 -1.425 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42592.30352.29351.27622.16863.04533.04532.0719
C21.42591.27112.15622.12581.08212.91442.91443.1787
N32.30351.27111.44982.31032.07712.10162.10163.3639
C42.29352.15621.44981.49763.21141.09261.09262.3080
C51.27622.12582.31031.49763.13872.16572.16571.0833
H62.16861.08212.07713.21143.13873.91373.91374.1449
H73.04532.91442.10161.09262.16573.91371.75862.7277
H83.04532.91442.10161.09262.16573.91371.75862.7277
H92.07193.17873.36392.30801.08334.14492.72772.7277

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 117.208 N1 C2 H6 119.055
N1 C5 C4 111.305 N1 C5 H9 122.625
C2 N1 C5 103.625 C2 N3 C4 104.645
N3 C2 H6 123.737 N3 C4 C5 103.217
N3 C4 H7 110.727 N3 C4 H8 110.727
C4 C5 H9 126.069 C5 C4 H7 112.523
C5 C4 H8 112.523 H7 C4 H8 107.170
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.190      
2 C 0.039      
3 N -0.218      
4 C -0.019      
5 C -0.063      
6 H 0.114      
7 H 0.102      
8 H 0.102      
9 H 0.132      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.023 -2.086 0.000 2.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.000 -0.624 0.000
y -0.624 -23.688 0.000
z 0.000 0.000 -28.701
Traceless
 xyz
x -8.806 -0.624 0.000
y -0.624 8.163 0.000
z 0.000 0.000 0.643
Polar
3z2-r21.285
x2-y2-11.313
xy-0.624
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.758 -0.341 0.000
y -0.341 7.722 0.000
z 0.000 0.000 4.363


<r2> (average value of r2) Å2
<r2> 80.780
(<r2>)1/2 8.988