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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G
 hartrees
Energy at 0K-38.956072
Energy at 298.15K-38.962034
HF Energy-38.956072
Nuclear repulsion energy85.023805
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/CEP-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 3263 3160 14.63      
2 A1 3088 2991 0.66      
3 A1 1667 1615 24.36      
4 A1 1416 1371 27.80      
5 A1 1357 1314 8.27      
6 A1 1240 1201 10.51      
7 A1 1015 983 3.25      
8 A1 893 865 16.70      
9 A2 1154 1117 0.00      
10 A2 902 874 0.00      
11 A2 543 526 0.00      
12 B1 3133 3034 0.87      
13 B1 1029 997 15.76      
14 B1 835 809 19.93      
15 B1 358 346 52.87      
16 B2 3240 3138 6.12      
17 B2 1715 1661 0.47      
18 B2 1332 1290 15.29      
19 B2 1237 1198 12.24      
20 B2 1068 1034 48.35      
21 B2 921 892 76.25      

Unscaled Zero Point Vibrational Energy (zpe) 15703.5 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 15207.3 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 B3LYP/CEP-31G
ABC
0.35416 0.29005 0.16450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.234
N2 0.000 0.999 0.287
N3 0.000 -0.999 0.287
C4 0.000 0.749 -0.972
C5 0.000 -0.749 -0.972
H6 -0.896 0.000 1.874
H7 0.896 0.000 1.874
H8 0.000 1.507 -1.752
H9 0.000 -1.507 -1.752

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37651.37652.32952.32951.10111.10113.34463.3446
N21.37651.99721.28292.15382.07832.07832.10103.2299
N31.37651.99722.15381.28292.07832.07833.22992.1010
C42.32951.28292.15381.49873.07603.07601.08732.3871
C52.32952.15381.28291.49873.07603.07602.38711.0873
H61.10112.07832.07833.07603.07601.79234.02744.0274
H71.10112.07832.07833.07603.07601.79234.02744.0274
H83.34462.10103.22991.08732.38714.02744.02743.0133
H93.34463.22992.10102.38711.08734.02744.02743.0133

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 122.285 C1 N3 C5 122.285
N2 C1 N3 93.020 N2 C1 H6 113.573
N2 C1 H7 113.573 N2 C4 C5 101.205
N2 C4 H8 124.650 N3 C1 H6 113.573
N3 C1 H7 113.573 N3 C5 C4 101.205
N3 C5 H9 124.650 C4 C5 H9 134.145
C5 C4 H8 134.145 H6 C1 H7 108.948
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.779      
2 N 0.293      
3 N 0.293      
4 C -0.464      
5 C -0.464      
6 H 0.269      
7 H 0.269      
8 H 0.293      
9 H 0.293      


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 -0.709 0.709
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.406 0.000 0.000
y 0.000 -36.920 0.000
z 0.000 0.000 -21.032
Traceless
 xyz
x 0.570 0.000 0.000
y 0.000 -12.201 0.000
z 0.000 0.000 11.631
Polar
3z2-r223.262
x2-y28.514
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.401 0.000 0.000
y 0.000 5.015 0.000
z 0.000 0.000 7.912


<r2> (average value of r2) Å2
<r2> 66.218
(<r2>)1/2 8.137