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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B3LYP/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-226.191785
Energy at 298.15K-226.197692
HF Energy-226.191785
Nuclear repulsion energy160.431760
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/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 A' 3233 3105 16.72      
2 A' 3211 3084 10.96      
3 A' 3053 2931 1.89      
4 A' 1668 1602 43.82      
5 A' 1568 1506 11.68      
6 A' 1434 1377 17.39      
7 A' 1335 1282 24.07      
8 A' 1317 1265 4.85      
9 A' 1276 1226 7.87      
10 A' 1038 997 59.72      
11 A' 999 959 10.48      
12 A' 944 906 3.37      
13 A' 883 848 1.25      
14 A' 879 844 14.39      
15 A" 3085 2962 2.46      
16 A" 1170 1124 0.28      
17 A" 1009 969 9.64      
18 A" 961 923 0.54      
19 A" 757 727 5.30      
20 A" 568 545 21.10      
21 A" 374 359 7.64      

Unscaled Zero Point Vibrational Energy (zpe) 15380.3 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 14769.7 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/6-31G*
ABC
0.32025 0.29165 0.15709

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.359 0.000
C2 0.000 1.135 0.000
N3 1.120 0.506 0.000
C4 0.734 -0.902 0.000
C5 -0.768 -0.855 0.000
H6 -0.075 2.218 0.000
H7 1.144 -1.415 0.881
H8 1.144 -1.415 -0.881
H9 -1.439 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43052.32682.31031.28952.17433.07033.07032.0837
C21.43051.28462.16462.13311.08602.93002.93003.1889
N32.32681.28461.45962.32792.08782.11342.11343.3858
C42.31032.16461.45961.50293.22291.09911.09912.3186
C51.28952.13312.32791.50293.15082.17852.17851.0872
H62.17431.08602.08783.22293.15083.93193.93194.1594
H73.07032.93002.11341.09912.17853.93191.76242.7449
H83.07032.93002.11341.09912.17853.93191.76242.7449
H92.08373.18893.38582.31861.08724.15942.74492.7449

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.862 N1 C2 H6 118.901
N1 C5 C4 111.424 N1 C5 H9 122.266
C2 N1 C5 103.177 C2 N3 C4 103.960
N3 C2 H6 123.237 N3 C4 C5 103.577
N3 C4 H7 110.582 N3 C4 H8 110.582
C4 C5 H9 126.310 C5 C4 H7 112.785
C5 C4 H8 112.785 H7 C4 H8 106.599
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.368      
2 C 0.172      
3 N -0.358      
4 C -0.225      
5 C 0.068      
6 H 0.161      
7 H 0.194      
8 H 0.194      
9 H 0.160      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.027 -2.054 0.000 2.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.672 -0.623 0.000
y -0.623 -23.850 0.000
z 0.000 0.000 -28.523
Traceless
 xyz
x -8.485 -0.623 0.000
y -0.623 7.747 0.000
z 0.000 0.000 0.738
Polar
3z2-r21.475
x2-y2-10.821
xy-0.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.090 -0.357 0.000
y -0.357 7.258 0.000
z 0.000 0.000 3.429


<r2> (average value of r2) Å2
<r2> 81.577
(<r2>)1/2 9.032