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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-226.207972
Energy at 298.15K-226.214011
HF Energy-226.207972
Nuclear repulsion energy167.038823
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 B3LYPultrafine/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 A1 3210 3105 15.94      
2 A1 3045 2946 0.09      
3 A1 1689 1634 23.49      
4 A1 1407 1361 2.05      
5 A1 1385 1340 28.55      
6 A1 1246 1206 4.25      
7 A1 1030 996 1.76      
8 A1 934 903 9.77      
9 A2 1146 1109 0.00      
10 A2 932 902 0.00      
11 A2 551 533 0.00      
12 B1 3075 2975 0.93      
13 B1 1007 975 21.22      
14 B1 834 807 5.18      
15 B1 376 364 37.12      
16 B2 3196 3092 4.69      
17 B2 1760 1703 0.60      
18 B2 1379 1334 34.77      
19 B2 1246 1205 1.79      
20 B2 1077 1042 37.84      
21 B2 937 907 67.21      

Unscaled Zero Point Vibrational Energy (zpe) 15731.2 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 15219.9 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.36326 0.30551 0.17133

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.726 -0.943
C5 0.000 -0.726 -0.943
H6 -0.890 0.000 1.833
H7 0.890 0.000 1.833
H8 0.000 1.467 -1.729
H9 0.000 -1.467 -1.729

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35561.35562.26152.26151.09301.09303.27483.2748
N21.35561.99341.25262.11262.04902.04902.06323.1791
N31.35561.99342.11261.25262.04902.04903.17912.0632
C42.26151.25262.11261.45193.00463.00461.08032.3298
C52.26152.11261.25261.45193.00463.00462.32981.0803
H61.09302.04902.04903.00463.00461.77983.95403.9540
H71.09302.04902.04903.00463.00461.77983.95403.9540
H83.27482.06323.17911.08032.32983.95403.95402.9345
H93.27483.17912.06322.32981.08033.95403.95402.9345

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.190 C1 N3 C5 120.190
N2 C1 N3 94.655 N2 C1 H6 113.174
N2 C1 H7 113.174 N2 C4 C5 102.483
N2 C4 H8 124.189 N3 C1 H6 113.174
N3 C1 H7 113.174 N3 C5 C4 102.483
N3 C5 H9 124.189 C4 C5 H9 133.329
C5 C4 H8 133.329 H6 C1 H7 109.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.164      
2 N -0.396      
3 N -0.396      
4 C -0.309      
5 C -0.309      
6 H 0.287      
7 H 0.287      
8 H 0.499      
9 H 0.499      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.855 0.855
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.721 0.000 0.000
y 0.000 -36.158 0.000
z 0.000 0.000 -22.077
Traceless
 xyz
x 0.397 0.000 0.000
y 0.000 -10.759 0.000
z 0.000 0.000 10.362
Polar
3z2-r220.725
x2-y27.437
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.990 0.000 0.000
y 0.000 7.320 0.000
z 0.000 0.000 8.783


<r2> (average value of r2) Å2
<r2> 77.317
(<r2>)1/2 8.793