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

using model chemistry: PBE1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-223.095638
Energy at 298.15K-223.101308
HF Energy-223.095638
Nuclear repulsion energy156.329513
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 PBE1PBE/STO-3G
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' 3508 3094 4.95      
2 A' 3503 3090 16.88      
3 A' 3362 2965 13.45      
4 A' 1717 1515 12.37      
5 A' 1619 1429 4.69      
6 A' 1571 1386 9.71      
7 A' 1382 1219 6.13      
8 A' 1359 1199 21.47      
9 A' 1310 1155 1.00      
10 A' 1048 925 24.38      
11 A' 1035 913 0.93      
12 A' 1013 893 6.46      
13 A' 896 791 5.24      
14 A' 879 775 4.23      
15 A" 3464 3056 5.40      
16 A" 1215 1072 0.62      
17 A" 1025 904 4.31      
18 A" 952 840 0.27      
19 A" 791 698 9.74      
20 A" 563 497 8.87      
21 A" 377 332 8.92      

Unscaled Zero Point Vibrational Energy (zpe) 16293.5 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 14372.5 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 PBE1PBE/STO-3G
ABC
0.30593 0.27461 0.14884

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.253 0.357 0.000
C2 0.000 1.160 0.000
N3 1.160 0.532 0.000
C4 0.748 -0.928 0.000
C5 -0.775 -0.876 0.000
H6 -0.080 2.257 0.000
H7 1.160 -1.431 0.895
H8 1.160 -1.431 -0.895
H9 -1.429 -1.759 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.48822.42002.37841.32262.23283.13443.13442.1237
C21.48821.31952.21802.17791.10032.97652.97653.2499
N32.42001.31951.51712.39272.12532.15712.15713.4572
C42.37842.21801.51711.52333.29141.10651.10652.3298
C51.32262.17792.39271.52333.20892.20322.20321.0993
H62.23281.10032.12533.29143.20893.99283.99284.2367
H73.13442.97652.15711.10652.20323.99281.79052.7592
H83.13442.97652.15711.10652.20323.99281.79052.7592
H92.12373.24993.45722.32981.09934.23672.75922.7592

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 118.936 N1 C2 H6 118.445
N1 C5 C4 113.196 N1 C5 H9 122.263
C2 N1 C5 101.419 C2 N3 C4 102.647
N3 C2 H6 122.619 N3 C4 C5 103.803
N3 C4 H7 109.613 N3 C4 H8 109.613
C4 C5 H9 124.541 C5 C4 H7 112.852
C5 C4 H8 112.852 H7 C4 H8 108.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.208      
2 C 0.057      
3 N -0.204      
4 C -0.109      
5 C 0.013      
6 H 0.108      
7 H 0.118      
8 H 0.118      
9 H 0.106      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.187 -1.836 0.000 1.846
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.508 -0.491 0.000
y -0.491 -23.190 0.000
z 0.000 0.000 -26.468
Traceless
 xyz
x -7.680 -0.491 0.000
y -0.491 6.298 0.000
z 0.000 0.000 1.381
Polar
3z2-r22.763
x2-y2-9.319
xy-0.491
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.468 -0.263 0.000
y -0.263 4.721 0.000
z 0.000 0.000 1.632


<r2> (average value of r2) Å2
<r2> 83.825
(<r2>)1/2 9.156