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All results from a given calculation for C3H4N2 (4H-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 CS 1A'
Energy calculated at wB97X-D/6-31G
 hartrees
Energy at 0K-226.025647
Energy at 298.15K-226.031625
HF Energy-226.025647
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 A' 3329 3329 7.19      
2 A' 3291 3291 4.09      
3 A' 3111 3111 0.13      
4 A' 1648 1648 33.59      
5 A' 1561 1561 8.91      
6 A' 1464 1464 30.41      
7 A' 1333 1333 23.46      
8 A' 1314 1314 3.93      
9 A' 1293 1293 12.45      
10 A' 1025 1025 56.02      
11 A' 990 990 3.83      
12 A' 956 956 4.22      
13 A' 887 887 13.27      
14 A' 882 882 7.51      
15 A" 3163 3163 0.37      
16 A" 1183 1183 0.09      
17 A" 1033 1033 17.85      
18 A" 977 977 0.27      
19 A" 792 792 12.04      
20 A" 587 587 26.47      
21 A" 394 394 12.18      

Unscaled Zero Point Vibrational Energy (zpe) 15606.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15606.9 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
0.31207 0.29085 0.15490

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.203 0.356 0.000
C2 0.000 1.160 0.000
N3 1.119 0.511 0.000
C4 0.736 -0.918 0.000
C5 -0.769 -0.868 0.000
H6 -0.077 2.235 0.000
H7 1.150 -1.414 0.884
H8 1.150 -1.414 -0.884
H9 -1.436 -1.718 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44672.32712.32071.29962.18993.07483.07482.0876
C21.44671.29312.20422.16871.07772.95432.95433.2161
N32.32711.29311.47932.33772.09762.11872.11873.3905
C42.32072.20421.47931.50573.25571.09501.09502.3148
C51.29962.16872.33771.50573.17902.18192.18191.0805
H62.18991.07772.09763.25573.17903.94963.94964.1798
H73.07482.95432.11871.09502.18193.94961.76832.7496
H83.07482.95432.11871.09502.18193.94961.76832.7496
H92.08763.21613.39052.31481.08054.17982.74962.7496

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 116.176 N1 C2 H6 119.624
N1 C5 C4 111.427 N1 C5 H9 122.327
C2 N1 C5 104.184 C2 N3 C4 105.119
N3 C2 H6 124.200 N3 C4 C5 103.094
N3 C4 H7 109.877 N3 C4 H8 109.877
C4 C5 H9 126.246 C5 C4 H7 113.113
C5 C4 H8 113.113 H7 C4 H8 107.695
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 N -0.347      
2 C 0.088      
3 N -0.329      
4 C -0.302      
5 C 0.006      
6 H 0.212      
7 H 0.232      
8 H 0.232      
9 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.156 -2.361 0.000 2.367
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.123 -0.766 0.000
y -0.766 -23.331 0.000
z 0.000 0.000 -28.783
Traceless
 xyz
x -10.066 -0.766 0.000
y -0.766 9.122 0.000
z 0.000 0.000 0.943
Polar
3z2-r21.887
x2-y2-12.792
xy-0.766
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.964 -0.432 0.000
y -0.432 7.163 0.000
z 0.000 0.000 3.275


<r2> (average value of r2) Å2
<r2> 82.649
(<r2>)1/2 9.091