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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: PBEPBE/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 PBEPBE/6-31G*
 hartrees
Energy at 0K-225.919494
Energy at 298.15K-225.925291
HF Energy-225.919494
Nuclear repulsion energy159.667838
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/6-31G*
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' 3157 3112 16.22      
2 A' 3139 3094 10.86      
3 A' 2981 2939 0.87      
4 A' 1601 1578 36.52      
5 A' 1503 1482 7.68      
6 A' 1371 1351 23.05      
7 A' 1290 1272 20.20      
8 A' 1271 1253 4.61      
9 A' 1222 1204 8.54      
10 A' 1017 1002 48.49      
11 A' 979 965 14.50      
12 A' 926 913 3.55      
13 A' 858 845 5.31      
14 A' 855 843 10.25      
15 A" 3016 2972 0.72      
16 A" 1124 1108 0.22      
17 A" 962 948 10.30      
18 A" 918 905 0.57      
19 A" 721 711 7.46      
20 A" 550 542 18.05      
21 A" 357 352 9.31      

Unscaled Zero Point Vibrational Energy (zpe) 14908.0 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 14694.8 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/6-31G*
ABC
0.31828 0.28846 0.15573

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.209 0.368 0.000
C2 0.000 1.136 0.000
N3 1.132 0.502 0.000
C4 0.732 -0.903 0.000
C5 -0.771 -0.858 0.000
H6 -0.068 2.228 0.000
H7 1.146 -1.425 0.885
H8 1.146 -1.425 -0.885
H9 -1.450 -1.717 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43242.34522.32021.30172.18273.08983.08982.0993
C21.43241.29742.16632.13711.09482.94192.94193.2005
N32.34521.29741.46122.33862.10252.12052.12053.4048
C42.32022.16631.46121.50303.23211.10791.10792.3285
C51.30172.13712.33861.50303.16512.18632.18631.0957
H62.18271.09482.10253.23213.16513.95033.95034.1810
H73.08982.94192.12051.10792.18633.95031.77012.7584
H83.08982.94192.12051.10792.18633.95031.77012.7584
H92.09933.20053.40482.32851.09574.18102.75842.7584

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 118.349 N1 C2 H6 118.863
N1 C5 C4 111.429 N1 C5 H9 122.009
C2 N1 C5 102.722 C2 N3 C4 103.334
N3 C2 H6 122.788 N3 C4 C5 104.166
N3 C4 H7 110.508 N3 C4 H8 110.508
C4 C5 H9 126.562 C5 C4 H7 112.854
C5 C4 H8 112.854 H7 C4 H8 106.039
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.341      
2 C 0.138      
3 N -0.331      
4 C -0.270      
5 C 0.049      
6 H 0.168      
7 H 0.210      
8 H 0.210      
9 H 0.167      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.092 -2.055 0.000 2.058
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.408 -0.658 0.000
y -0.658 -23.858 0.000
z 0.000 0.000 -28.568
Traceless
 xyz
x -8.195 -0.658 0.000
y -0.658 7.630 0.000
z 0.000 0.000 0.566
Polar
3z2-r21.131
x2-y2-10.550
xy-0.658
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.338 -0.316 0.000
y -0.316 7.479 0.000
z 0.000 0.000 3.499


<r2> (average value of r2) Å2
<r2> 82.099
(<r2>)1/2 9.061