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All results from a given calculation for C3H4N2 (1H-Imidazole)

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

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/6-31+G**
 hartrees
Energy at 0K-226.156251
Energy at 298.15K-226.162250
HF Energy-226.156251
Nuclear repulsion energy163.445260
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/6-31+G**
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' 3725 3547 71.49      
2 A' 3326 3167 0.87      
3 A' 3298 3141 1.49      
4 A' 3291 3134 5.03      
5 A' 1592 1516 14.38      
6 A' 1533 1460 25.99      
7 A' 1473 1403 15.93      
8 A' 1405 1338 7.96      
9 A' 1292 1230 0.47      
10 A' 1194 1137 4.22      
11 A' 1165 1109 3.06      
12 A' 1117 1063 29.07      
13 A' 1090 1038 35.55      
14 A' 948 903 3.03      
15 A' 909 866 5.18      
16 A" 889 847 5.67      
17 A" 825 786 35.58      
18 A" 734 699 50.97      
19 A" 682 650 5.19      
20 A" 647 616 11.32      
21 A" 540 514 107.23      

Unscaled Zero Point Vibrational Energy (zpe) 15836.8 cm-1
Scaled (by 0.9523) Zero Point Vibrational Energy (zpe) 15081.4 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/6-31+G**
ABC
0.32642 0.31447 0.16017

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.103 0.000
C2 -1.087 0.282 0.000
C3 1.117 0.299 0.000
N4 -0.741 -0.983 0.000
C5 0.634 -0.982 0.000
H6 -0.012 2.109 0.000
H7 -2.099 0.662 0.000
H8 2.117 0.702 0.000
H9 1.196 -1.904 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36221.37622.21312.17921.00662.14482.15503.2363
C21.36222.20461.31152.13582.12001.08043.23213.1615
C31.37622.20462.25721.36922.13373.23651.07832.2049
N42.21311.31152.25721.37493.17672.13273.31772.1450
C52.17922.13581.36921.37493.15833.18932.24421.0800
H61.00662.12002.13373.17673.15832.53972.55264.1916
H72.14481.08043.23652.13273.18932.53974.21664.1763
H82.15503.23211.07833.31772.24422.55264.21662.7644
H93.23633.16152.20492.14501.08004.19164.17632.7644

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.718 N1 C2 H7 122.400
N1 C3 C5 105.072 N1 C3 H8 122.328
C2 N1 C3 107.229 C2 N1 H6 126.343
C2 N4 C5 105.298 C3 N1 H6 126.428
C3 C5 N4 110.683 C3 C5 H9 127.984
N4 C2 H7 125.883 N4 C5 H9 121.333
C5 C3 H8 132.600
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.370      
2 C 0.066      
3 C -0.102      
4 N -0.314      
5 C -0.110      
6 H 0.328      
7 H 0.168      
8 H 0.176      
9 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.219 3.759 0.000 3.951
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.597 -3.578 0.000
y -3.578 -25.707 0.000
z 0.000 0.000 -32.257
Traceless
 xyz
x 2.385 -3.578 0.000
y -3.578 3.720 0.000
z 0.000 0.000 -6.105
Polar
3z2-r2-12.210
x2-y2-0.889
xy-3.578
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.869 0.008 0.000
y 0.008 7.632 0.000
z 0.000 0.000 4.504


<r2> (average value of r2) Å2
<r2> 79.841
(<r2>)1/2 8.935