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

using model chemistry: B3LYP/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/Def2TZVPP
 hartrees
Energy at 0K-226.280539
Energy at 298.15K-226.286526
HF Energy-226.280539
Nuclear repulsion energy161.024094
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 B3LYP/Def2TZVPP
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 3189 3069 19.30      
2 A1 3043 2929 1.91      
3 A1 1552 1494 8.30      
4 A1 1404 1352 19.56      
5 A1 1345 1295 10.49      
6 A1 1001 963 1.29      
7 A1 964 928 1.39      
8 A1 848 816 4.91      
9 A2 1180 1136 0.00      
10 A2 984 947 0.00      
11 A2 576 555 0.00      
12 B1 3071 2956 0.66      
13 B1 1021 983 26.48      
14 B1 838 807 1.54      
15 B1 402 387 30.56      
16 B2 3175 3056 8.74      
17 B2 1655 1593 0.65      
18 B2 1293 1245 1.49      
19 B2 1262 1215 0.00      
20 B2 968 932 86.04      
21 B2 904 870 3.66      

Unscaled Zero Point Vibrational Energy (zpe) 15337.4 cm-1
Scaled (by 0.9626) Zero Point Vibrational Energy (zpe) 14763.8 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 B3LYP/Def2TZVPP
ABC
0.32578 0.29107 0.15822

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.146
N2 0.000 1.091 0.284
N3 0.000 -1.091 0.284
C4 0.000 0.746 -0.913
C5 0.000 -0.746 -0.913
H6 -0.887 0.000 1.774
H7 0.887 0.000 1.774
H8 0.000 1.453 -1.724
H9 0.000 -1.453 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38991.38992.18992.18991.08661.08663.21663.2166
N21.38992.18131.24622.19222.04792.04792.04063.2408
N31.38992.18132.19221.24622.04792.04793.24082.0406
C42.18991.24622.19221.49112.92592.92591.07592.3432
C52.18992.19221.24621.49112.92592.92592.34321.0759
H61.08662.04792.04792.92592.92591.77403.88973.8897
H71.08662.04792.04792.92592.92591.77403.88973.8897
H83.21662.04063.24081.07592.34323.88973.88972.9058
H93.21663.24082.04062.34321.07593.88973.88972.9058

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 112.230 C1 N3 C5 112.230
N2 C1 N3 103.384 N2 C1 H6 110.980
N2 C1 H7 110.980 N2 C4 C5 106.078
N2 C4 H8 122.816 N3 C1 H6 110.980
N3 C1 H7 110.980 N3 C5 C4 106.078
N3 C5 H9 122.816 C4 C5 H9 131.107
C5 C4 H8 131.107 H6 C1 H7 109.439
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.085      
2 N -0.217      
3 N -0.217      
4 C -0.071      
5 C -0.071      
6 H 0.109      
7 H 0.109      
8 H 0.138      
9 H 0.138      


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 -1.219 1.219
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.102 0.000 0.000
y 0.000 -36.087 0.000
z 0.000 0.000 -23.449
Traceless
 xyz
x 0.666 0.000 0.000
y 0.000 -9.812 0.000
z 0.000 0.000 9.146
Polar
3z2-r218.292
x2-y26.985
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.611 0.000 0.000
y 0.000 6.775 0.000
z 0.000 0.000 8.491


<r2> (average value of r2) Å2
<r2> 81.446
(<r2>)1/2 9.025