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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-226.192942
Energy at 298.15K-226.198963
HF Energy-226.192942
Nuclear repulsion energy161.520018
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 A1 3213 3074 17.68      
2 A1 3070 2937 1.70      
3 A1 1590 1521 7.13      
4 A1 1406 1345 22.11      
5 A1 1347 1289 14.34      
6 A1 1025 981 0.88      
7 A1 974 932 1.09      
8 A1 856 818 4.97      
9 A2 1201 1149 0.00      
10 A2 1003 959 0.00      
11 A2 581 555 0.00      
12 B1 3107 2972 0.41      
13 B1 1033 988 28.54      
14 B1 850 813 0.99      
15 B1 389 372 30.24      
16 B2 3200 3061 6.75      
17 B2 1689 1616 0.64      
18 B2 1311 1254 2.38      
19 B2 1271 1215 0.75      
20 B2 1003 960 72.22      
21 B2 913 873 14.82      

Unscaled Zero Point Vibrational Energy (zpe) 15514.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 14841.5 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
0.32805 0.29270 0.15923

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.145
N2 0.000 1.090 0.284
N3 0.000 -1.090 0.284
C4 0.000 0.745 -0.912
C5 0.000 -0.745 -0.912
H6 -0.887 0.000 1.771
H7 0.887 0.000 1.771
H8 0.000 1.452 -1.722
H9 0.000 -1.452 -1.722

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38911.38912.18752.18751.08591.08593.21383.2138
N21.38912.18061.24502.19052.04632.04632.03863.2388
N31.38912.18062.19051.24502.04632.04633.23882.0386
C42.18751.24502.19051.48972.92262.92261.07552.3417
C52.18752.19051.24501.48972.92262.92262.34171.0755
H61.08592.04632.04632.92262.92261.77393.88583.8858
H71.08592.04632.04632.92262.92261.77393.88583.8858
H83.21382.03863.23881.07552.34173.88583.88582.9047
H93.21383.23882.03862.34171.07553.88583.88582.9047

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 112.179 C1 N3 C5 112.179
N2 C1 N3 103.422 N2 C1 H6 110.946
N2 C1 H7 110.946 N2 C4 C5 106.111
N2 C4 H8 122.757 N3 C1 H6 110.946
N3 C1 H7 110.946 N3 C5 C4 106.111
N3 C5 H9 122.757 C4 C5 H9 131.133
C5 C4 H8 131.133 H6 C1 H7 109.531
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 C -0.095      
2 N -0.523      
3 N -0.523      
4 C -0.171      
5 C -0.171      
6 H 0.272      
7 H 0.272      
8 H 0.469      
9 H 0.469      


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 -1.310 1.310
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.964 0.000 0.000
y 0.000 -35.934 0.000
z 0.000 0.000 -23.023
Traceless
 xyz
x 0.514 0.000 0.000
y 0.000 -9.940 0.000
z 0.000 0.000 9.426
Polar
3z2-r218.852
x2-y26.970
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.970 0.000 0.000
y 0.000 7.180 0.000
z 0.000 0.000 8.531


<r2> (average value of r2) Å2
<r2> 80.917
(<r2>)1/2 8.995