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

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-226.003941
Energy at 298.15K-226.009818
HF Energy-226.003941
Nuclear repulsion energy162.431971
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 PBEPBE/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' 3566 3533 35.80      
2 A' 3205 3176 2.21      
3 A' 3177 3149 1.05      
4 A' 3172 3143 6.06      
5 A' 1508 1494 10.09      
6 A' 1458 1445 15.30      
7 A' 1398 1385 10.97      
8 A' 1330 1318 6.08      
9 A' 1235 1224 0.47      
10 A' 1150 1139 3.51      
11 A' 1114 1104 2.97      
12 A' 1068 1058 27.59      
13 A' 1049 1039 27.08      
14 A' 916 908 2.21      
15 A' 875 867 9.50      
16 A" 825 818 7.36      
17 A" 767 760 42.51      
18 A" 693 687 28.93      
19 A" 667 661 2.16      
20 A" 631 625 15.03      
21 A" 525 520 82.74      

Unscaled Zero Point Vibrational Energy (zpe) 15164.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 15026.0 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 PBEPBE/6-311G**
ABC
0.32330 0.30977 0.15820

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.109 0.000
C2 -1.095 0.282 0.000
C3 1.124 0.304 0.000
N4 -0.744 -0.992 0.000
C5 0.636 -0.987 0.000
H6 -0.005 2.124 0.000
H7 -2.113 0.665 0.000
H8 2.128 0.715 0.000
H9 1.204 -1.914 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37171.38242.22902.19011.01512.15902.16433.2538
C21.37172.21861.32222.14652.13971.08753.25183.1795
C31.38242.21862.27331.37952.14173.25661.08532.2191
N42.22901.32222.27331.38023.20262.14943.34112.1551
C52.19012.14651.37951.38023.17613.20712.26301.0872
H61.01512.13972.14173.20263.17612.56352.55664.2150
H72.15901.08753.25662.14943.20712.56354.24134.2015
H82.16433.25181.08533.34112.26302.55664.24132.7864
H93.25383.17952.21912.15511.08724.21504.20152.7864

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 111.660 N1 C2 H7 122.365
N1 C3 C5 104.929 N1 C3 H8 122.122
C2 N1 C3 107.331 C2 N1 H6 126.764
C2 N4 C5 105.156 C3 N1 H6 125.905
C3 C5 N4 110.924 C3 C5 H9 127.819
N4 C2 H7 125.975 N4 C5 H9 121.257
C5 C3 H8 132.949
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.325      
2 C 0.146      
3 C 0.005      
4 N -0.289      
5 C -0.089      
6 H 0.223      
7 H 0.115      
8 H 0.109      
9 H 0.104      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.071 3.523 0.000 3.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.594 -3.114 0.000
y -3.114 -25.426 0.000
z 0.000 0.000 -31.672
Traceless
 xyz
x 1.955 -3.114 0.000
y -3.114 3.707 0.000
z 0.000 0.000 -5.662
Polar
3z2-r2-11.323
x2-y2-1.168
xy-3.114
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.695 -0.169 0.000
y -0.169 7.348 0.000
z 0.000 0.000 3.414


<r2> (average value of r2) Å2
<r2> 80.438
(<r2>)1/2 8.969