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

using model chemistry: PBE1PBE/6-311G**

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 PBE1PBE/6-311G**
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-311G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-115.836998
Energy at 298.15K-115.838626
HF Energy-115.836998
Nuclear repulsion energy58.105364
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/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' 3311 3177 0.25      
2 A' 3080 2955 56.59      
3 A' 1687 1618 0.28      
4 A' 1265 1214 8.84      
5 A' 989 949 22.15      
6 A' 919 882 6.51      
7 A' 625 600 73.87      
8 A" 3263 3130 3.14      
9 A" 1038 996 23.87      
10 A" 986 946 5.59      
11 A" 893 857 0.23      
12 A" 725 695 40.81      

Unscaled Zero Point Vibrational Energy (zpe) 9390.6 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 9009.4 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 PBE1PBE/6-311G**
ABC
1.06785 0.89433 0.50104

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.885 0.000
H2 0.739 1.654 0.000
C3 -0.036 -0.417 0.655
C4 -0.036 -0.417 -0.655
H5 -0.042 -0.980 1.574
H6 -0.042 -0.980 -1.574

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09201.45731.45732.44062.4406
H21.09202.30632.30633.16653.1665
C31.45732.30631.30991.07812.2993
C41.45732.30631.30992.29931.0781
H52.44063.16651.07812.29933.1487
H62.44063.16652.29931.07813.1487

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 63.293 C1 C3 H5 148.190
C1 C4 C3 63.293 C1 C4 H6 148.190
H2 C1 C3 129.006 H2 C1 C4 129.006
C3 C1 C4 53.415 C3 C4 H6 148.515
C4 C3 H5 148.515
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.170      
2 H 0.126      
3 C -0.094      
4 C -0.094      
5 H 0.116      
6 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.660 -1.326 0.000 1.481
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.164 1.295 0.000
y 1.295 -18.229 0.000
z 0.000 0.000 -15.516
Traceless
 xyz
x -2.292 1.295 0.000
y 1.295 -0.889 0.000
z 0.000 0.000 3.181
Polar
3z2-r26.362
x2-y2-0.936
xy1.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.683 0.294 0.000
y 0.294 4.921 0.000
z 0.000 0.000 4.958


<r2> (average value of r2) Å2
<r2> 33.134
(<r2>)1/2 5.756