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All results from a given calculation for C3H3 (cyclopropenyl radical)

using model chemistry: PBEPBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 2A'

Conformer 1 (D3H)

Jump to S1C2
Vibrational Frequencies calculated at PBEPBE/6-31G*
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-115.794323
Energy at 298.15K-115.795838
HF Energy-115.794323
Nuclear repulsion energy57.530767
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' 3230 3184 0.37      
2 A' 2995 2952 67.63      
3 A' 1642 1618 0.27      
4 A' 1235 1218 10.66      
5 A' 983 969 17.79      
6 A' 897 885 6.36      
7 A' 576 568 55.85      
8 A" 3185 3140 0.02      
9 A" 1001 987 28.07      
10 A" 950 937 1.85      
11 A" 832 820 0.26      
12 A" 672 663 25.37      

Unscaled Zero Point Vibrational Energy (zpe) 9099.6 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 8969.4 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
1.04422 0.87852 0.49172

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)
C1 -0.038 0.894 0.000
H2 0.758 1.658 0.000
C3 -0.038 -0.420 0.662
C4 -0.038 -0.420 -0.662
H5 -0.039 -0.991 1.590
H6 -0.039 -0.991 -1.590

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.10361.47121.47122.46552.4655
H21.10362.32182.32183.19053.1905
C31.47122.32181.32441.08912.3232
C41.47122.32181.32442.32321.0891
H52.46553.19051.08912.32323.1798
H62.46553.19052.32321.08913.1798

picture of cyclopropenyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C4 63.250 C1 C3 H5 148.344
C1 C4 C3 63.250 C1 C4 H6 148.344
H2 C1 C3 128.210 H2 C1 C4 128.210
C3 C1 C4 53.499 C3 C4 H6 148.405
C4 C3 H5 148.405
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 C -0.229      
2 H 0.138      
3 C -0.113      
4 C -0.113      
5 H 0.158      
6 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.644 -1.326 0.000 1.474
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.711 1.188 0.000
y 1.188 -18.007 0.000
z 0.000 0.000 -15.450
Traceless
 xyz
x -1.983 1.188 0.000
y 1.188 -0.926 0.000
z 0.000 0.000 2.909
Polar
3z2-r25.818
x2-y2-0.704
xy1.188
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.237 0.370 0.000
y 0.370 4.690 0.000
z 0.000 0.000 4.784


<r2> (average value of r2) Å2
<r2> 33.404
(<r2>)1/2 5.780