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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-115.818996
Energy at 298.15K-115.820498
HF Energy-115.818996
Nuclear repulsion energy57.629655
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/6-311G*
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' 3203 3170 0.42      
2 A' 2973 2942 73.26      
3 A' 1626 1610 0.19      
4 A' 1222 1209 9.04      
5 A' 966 956 21.60      
6 A' 882 872 8.65      
7 A' 570 564 67.04      
8 A" 3157 3124 0.08      
9 A" 987 976 31.00      
10 A" 938 929 2.50      
11 A" 827 818 0.40      
12 A" 661 654 31.65      

Unscaled Zero Point Vibrational Energy (zpe) 9005.5 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 8911.8 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/6-311G*
ABC
1.04940 0.88034 0.49330

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.037 0.893 0.000
H2 0.756 1.657 0.000
C3 -0.037 -0.419 0.661
C4 -0.037 -0.419 -0.661
H5 -0.041 -0.991 1.586
H6 -0.041 -0.991 -1.586

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.10151.46911.46912.46232.4623
H21.10152.31912.31913.18793.1879
C31.46912.31911.32131.08752.3181
C41.46912.31911.32132.31811.0875
H52.46233.18791.08752.31813.1718
H62.46233.18792.31811.08753.1718

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 63.277 C1 C3 H5 148.419
C1 C4 C3 63.277 C1 C4 H6 148.419
H2 C1 C3 128.313 H2 C1 C4 128.313
C3 C1 C4 53.446 C3 C4 H6 148.303
C4 C3 H5 148.303
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.257      
2 H 0.194      
3 C -0.166      
4 C -0.166      
5 H 0.198      
6 H 0.198      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.685 -1.373 0.000 1.534
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.277 1.325 0.000
y 1.325 -18.410 0.000
z 0.000 0.000 -15.661
Traceless
 xyz
x -2.242 1.325 0.000
y 1.325 -0.941 0.000
z 0.000 0.000 3.182
Polar
3z2-r26.364
x2-y2-0.867
xy1.325
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.703 0.328 0.000
y 0.328 5.058 0.000
z 0.000 0.000 5.015


<r2> (average value of r2) Å2
<r2> 33.577
(<r2>)1/2 5.795