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

using model chemistry: wB97X-D/6-31G*

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/6-31G*
 hartrees
Energy at 0K-226.114338
Energy at 298.15K-226.120340
HF Energy-226.114338
Nuclear repulsion energy 
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/6-31G*
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 3246 3079 18.06      
2 A1 3091 2932 2.58      
3 A1 1611 1528 6.55      
4 A1 1442 1367 15.01      
5 A1 1363 1292 13.13      
6 A1 1028 975 0.75      
7 A1 987 937 1.78      
8 A1 860 816 6.63      
9 A2 1214 1151 0.00      
10 A2 995 944 0.00      
11 A2 583 553 0.00      
12 B1 3134 2972 2.18      
13 B1 1039 986 24.46      
14 B1 850 806 1.22      
15 B1 395 374 33.53      
16 B2 3232 3066 11.76      
17 B2 1708 1620 0.29      
18 B2 1329 1260 1.86      
19 B2 1287 1220 0.20      
20 B2 1013 961 68.69      
21 B2 912 865 19.18      

Unscaled Zero Point Vibrational Energy (zpe) 15658.6 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 14852.2 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/6-31G*
ABC
0.32672 0.28990 0.15813

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.147
N2 0.000 1.091 0.285
N3 0.000 -1.091 0.285
C4 0.000 0.746 -0.914
C5 0.000 -0.746 -0.914
H6 -0.888 0.000 1.774
H7 0.888 0.000 1.774
H8 0.000 1.454 -1.725
H9 0.000 -1.454 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39051.39052.19172.19171.08731.08733.21933.2193
N21.39052.18151.24742.19292.04862.04862.04233.2429
N31.39052.18152.19291.24742.04862.04863.24292.0423
C42.19171.24742.19291.49112.92752.92751.07712.3446
C52.19172.19291.24741.49112.92752.92752.34461.0771
H61.08732.04862.04862.92752.92751.77663.89203.8920
H71.08732.04862.04862.92752.92751.77663.89203.8920
H83.21932.04233.24291.07712.34463.89203.89202.9086
H93.21933.24292.04232.34461.07713.89203.89202.9086

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 112.264 C1 N3 C5 112.264
N2 C1 N3 103.341 N2 C1 H6 110.954
N2 C1 H7 110.954 N2 C4 C5 106.065
N2 C4 H8 122.787 N3 C1 H6 110.954
N3 C1 H7 110.954 N3 C5 C4 106.065
N3 C5 H9 122.787 C4 C5 H9 131.148
C5 C4 H8 131.148 H6 C1 H7 109.571
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.106      
2 N -0.361      
3 N -0.361      
4 C 0.003      
5 C 0.003      
6 H 0.220      
7 H 0.220      
8 H 0.191      
9 H 0.191      


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 -1.195 1.195
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.517 0.000 0.000
y 0.000 -35.161 0.000
z 0.000 0.000 -22.735
Traceless
 xyz
x 0.431 0.000 0.000
y 0.000 -9.535 0.000
z 0.000 0.000 9.104
Polar
3z2-r218.209
x2-y26.644
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.344 0.000 0.000
y 0.000 4.912 0.000
z 0.000 0.000 7.761


<r2> (average value of r2) Å2
<r2> 81.018
(<r2>)1/2 9.001