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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-115.830070
Energy at 298.15K-115.831680
HF Energy-115.830070
Nuclear repulsion energy58.079434
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' 3308 3171 0.02      
2 A' 3075 2948 66.79      
3 A' 1689 1619 0.26      
4 A' 1267 1214 8.96      
5 A' 1004 962 21.24      
6 A' 917 879 8.14      
7 A' 609 584 74.87      
8 A" 3260 3125 0.50      
9 A" 1037 994 26.73      
10 A" 985 944 3.80      
11 A" 877 841 0.39      
12 A" 726 695 39.21      

Unscaled Zero Point Vibrational Energy (zpe) 9376.8 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 8987.7 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
1.06674 0.89347 0.50086

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 -0.037 0.886 0.000
H2 0.746 1.648 0.000
C3 -0.037 -0.417 0.655
C4 -0.037 -0.417 -0.655
H5 -0.041 -0.982 1.575
H6 -0.041 -0.982 -1.575

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09291.45811.45812.44282.4428
H21.09292.30362.30363.16483.1648
C31.45812.30361.31011.07922.3001
C41.45812.30361.31012.30011.0792
H52.44283.16481.07922.30013.1492
H62.44283.16482.30011.07923.1492

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 63.304 C1 C3 H5 148.263
C1 C4 C3 63.304 C1 C4 H6 148.263
H2 C1 C3 128.555 H2 C1 C4 128.555
C3 C1 C4 53.392 C3 C4 H6 148.431
C4 C3 H5 148.431
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 -0.261      
2 H 0.206      
3 C -0.187      
4 C -0.187      
5 H 0.214      
6 H 0.214      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.686 -1.344 0.000 1.509
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.234 1.331 0.000
y 1.331 -18.249 0.000
z 0.000 0.000 -15.500
Traceless
 xyz
x -2.360 1.331 0.000
y 1.331 -0.882 0.000
z 0.000 0.000 3.242
Polar
3z2-r26.484
x2-y2-0.985
xy1.331
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.637 0.290 0.000
y 0.290 4.890 0.000
z 0.000 0.000 4.906


<r2> (average value of r2) Å2
<r2> 33.161
(<r2>)1/2 5.759