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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-225.919491
Energy at 298.15K-225.925289
HF Energy-225.919491
Nuclear repulsion energy159.668954
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 PBEPBEultrafine/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' 3156 3104 16.21      
2 A' 3138 3086 10.85      
3 A' 2982 2933 0.86      
4 A' 1601 1575 36.50      
5 A' 1503 1478 7.69      
6 A' 1371 1348 23.07      
7 A' 1290 1269 20.46      
8 A' 1272 1251 4.38      
9 A' 1222 1202 8.48      
10 A' 1017 1000 48.03      
11 A' 979 963 14.90      
12 A' 927 911 3.58      
13 A' 858 843 4.66      
14 A' 855 841 10.89      
15 A" 3016 2966 0.72      
16 A" 1123 1105 0.22      
17 A" 962 946 10.29      
18 A" 918 903 0.59      
19 A" 721 709 7.48      
20 A" 550 541 18.01      
21 A" 358 352 9.34      

Unscaled Zero Point Vibrational Energy (zpe) 14908.3 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 14662.3 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 PBEPBEultrafine/6-31G*
ABC
0.31827 0.28848 0.15573

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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
N11.43232.34512.32011.30182.18273.08983.08982.0993
C21.43231.29742.16632.13721.09482.94192.94193.2005
N32.34511.29741.46122.33852.10252.12052.12053.4047
C42.32012.16631.46121.50293.23221.10791.10792.3285
C51.30182.13722.33851.50293.16522.18632.18631.0958
H62.18271.09482.10253.23223.16523.95033.95034.1810
H73.08982.94192.12051.10792.18633.95031.77012.7585
H83.08982.94192.12051.10792.18633.95031.77012.7585
H92.09933.20053.40472.32851.09584.18102.75852.7585

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 118.345 N1 C2 H6 118.865
N1 C5 C4 111.428 N1 C5 H9 122.001
C2 N1 C5 102.724 C2 N3 C4 103.336
N3 C2 H6 122.790 N3 C4 C5 104.166
N3 C4 H7 110.503 N3 C4 H8 110.503
C4 C5 H9 126.570 C5 C4 H7 112.859
C5 C4 H8 112.859 H7 C4 H8 106.038
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 -2.056 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 7.629 0.000
z 0.000 0.000 0.565
Polar
3z2-r21.131
x2-y2-10.549
xy-0.658
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.337 -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> 82.098
(<r2>)1/2 9.061