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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-226.179729
Energy at 298.15K-226.185702
HF Energy-226.179729
Nuclear repulsion energy163.598179
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 B3PW91/6-311G*
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' 3681 3544 41.47      
2 A' 3280 3158 3.53      
3 A' 3253 3131 2.08      
4 A' 3248 3126 8.98      
5 A' 1575 1516 14.25      
6 A' 1519 1463 17.93      
7 A' 1458 1404 13.79      
8 A' 1383 1331 6.84      
9 A' 1285 1237 0.48      
10 A' 1183 1139 4.06      
11 A' 1156 1113 2.41      
12 A' 1106 1065 27.69      
13 A' 1083 1043 33.94      
14 A' 948 913 2.38      
15 A' 908 874 8.45      
16 A" 858 826 6.37      
17 A" 806 776 40.19      
18 A" 718 691 38.44      
19 A" 687 661 4.77      
20 A" 651 627 14.63      
21 A" 536 516 102.43      

Unscaled Zero Point Vibrational Energy (zpe) 15660.8 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 15076.6 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 B3PW91/6-311G*
ABC
0.32757 0.31458 0.16047

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

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 0.300 0.000
N4 -0.740 -0.983 0.000
C5 0.632 -0.981 0.000
H6 -0.007 2.108 0.000
H7 -2.098 0.660 0.000
H8 2.116 0.706 0.000
H9 1.194 -1.904 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36151.37452.21202.17671.00612.14442.15243.2347
C21.36152.20191.30982.13142.12201.08113.22953.1575
C31.37452.20192.25571.36892.12893.23441.07882.2055
N42.21201.30982.25571.37203.17632.13143.31712.1418
C52.17672.13141.36891.37203.15453.18542.24601.0808
H61.00612.12202.12893.17633.15452.54362.54434.1884
H72.14441.08113.23442.13143.18542.54364.21414.1726
H82.15243.22951.07883.31712.24602.54434.21412.7681
H93.23473.15752.20552.14181.08084.18844.17262.7681

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 111.787 N1 C2 H7 122.364
N1 C3 C5 105.016 N1 C3 H8 122.187
C2 N1 C3 107.181 C2 N1 H6 126.692
C2 N4 C5 105.248 C3 N1 H6 126.128
C3 C5 N4 110.769 C3 C5 H9 128.013
N4 C2 H7 125.849 N4 C5 H9 121.219
C5 C3 H8 132.797
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.512      
2 C 0.078      
3 C -0.079      
4 N -0.312      
5 C -0.185      
6 H 0.356      
7 H 0.224      
8 H 0.223      
9 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.113 3.638 0.000 3.804
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.212 -3.227 0.000
y -3.227 -25.066 0.000
z 0.000 0.000 -31.729
Traceless
 xyz
x 2.185 -3.227 0.000
y -3.227 3.904 0.000
z 0.000 0.000 -6.089
Polar
3z2-r2-12.179
x2-y2-1.146
xy-3.227
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.306 -0.162 0.000
y -0.162 6.984 0.000
z 0.000 0.000 3.303


<r2> (average value of r2) Å2
<r2> 79.408
(<r2>)1/2 8.911