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All results from a given calculation for C3H4N2 (1H-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-226.146804
Energy at 298.15K-226.152801
HF Energy-226.146804
Nuclear repulsion energy163.551004
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' 3728 3728 64.61      
2 A' 3326 3326 1.42      
3 A' 3293 3293 1.83      
4 A' 3287 3287 7.48      
5 A' 1600 1600 14.38      
6 A' 1544 1544 21.04      
7 A' 1480 1480 15.78      
8 A' 1410 1410 9.34      
9 A' 1296 1296 0.56      
10 A' 1197 1197 4.66      
11 A' 1167 1167 2.22      
12 A' 1119 1119 24.66      
13 A' 1094 1094 32.47      
14 A' 950 950 2.28      
15 A' 910 910 7.32      
16 A" 886 886 4.71      
17 A" 823 823 25.75      
18 A" 734 734 31.99      
19 A" 688 688 3.89      
20 A" 652 652 11.97      
21 A" 535 535 107.65      

Unscaled Zero Point Vibrational Energy (zpe) 15858.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15858.7 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 wB97X-D/6-31G**
ABC
0.32726 0.31450 0.16038

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 0.000 1.102 0.000
C2 -1.086 0.281 0.000
C3 1.116 0.299 0.000
N4 -0.741 -0.984 0.000
C5 0.633 -0.980 0.000
H6 -0.012 2.108 0.000
H7 -2.097 0.663 0.000
H8 2.116 0.703 0.000
H9 1.197 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36141.37532.21372.17671.00592.14222.15323.2338
C21.36142.20211.31042.13182.11961.08083.22923.1580
C31.37532.20212.25751.36762.13193.23361.07812.2024
N42.21371.31042.25751.37443.17672.13253.31792.1446
C52.17672.13181.36761.37443.15503.18612.24341.0803
H61.00592.11962.13193.17673.15502.53712.54954.1881
H72.14221.08083.23362.13253.18612.53714.21274.1742
H82.15323.22921.07813.31792.24342.54954.21272.7625
H93.23383.15802.20242.14461.08034.18814.17422.7625

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 111.884 N1 C2 H7 122.187
N1 C3 C5 105.043 N1 C3 H8 122.250
C2 N1 C3 107.149 C2 N1 H6 126.458
C2 N4 C5 105.096 C3 N1 H6 126.393
C3 C5 N4 110.829 C3 C5 H9 127.859
N4 C2 H7 125.929 N4 C5 H9 121.312
C5 C3 H8 132.707
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 -0.523      
2 C 0.241      
3 C 0.029      
4 N -0.449      
5 C -0.013      
6 H 0.296      
7 H 0.145      
8 H 0.146      
9 H 0.127      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.143 3.627 0.000 3.803
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.893 -3.245 0.000
y -3.245 -24.902 0.000
z 0.000 0.000 -31.110
Traceless
 xyz
x 2.113 -3.245 0.000
y -3.245 3.600 0.000
z 0.000 0.000 -5.713
Polar
3z2-r2-11.425
x2-y2-0.991
xy-3.245
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.012 -0.203 0.000
y -0.203 6.746 0.000
z 0.000 0.000 2.636


<r2> (average value of r2) Å2
<r2> 79.207
(<r2>)1/2 8.900