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

using model chemistry: PBEPBE/aug-cc-pVTZ

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/aug-cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at PBEPBE/aug-cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/aug-cc-pVTZ
 hartrees
Energy at 0K-115.839876
Energy at 298.15K-115.841400
HF Energy-115.839876
Nuclear repulsion energy57.832282
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/aug-cc-pVTZ
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' 3207 3186 0.09      
2 A' 2994 2975 52.62      
3 A' 1620 1610 0.55      
4 A' 1214 1206 6.38      
5 A' 933 927 21.43      
6 A' 885 879 4.18      
7 A' 586 583 63.17      
8 A" 3161 3141 1.65      
9 A" 993 986 23.51      
10 A" 942 936 4.81      
11 A" 847 842 0.19      
12 A" 656 652 35.77      

Unscaled Zero Point Vibrational Energy (zpe) 9019.0 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 8960.4 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/aug-cc-pVTZ
ABC
1.05595 0.88808 0.49623

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.887 0.000
H2 0.734 1.669 0.000
C3 -0.036 -0.418 0.659
C4 -0.036 -0.418 -0.659
H5 -0.043 -0.987 1.582
H6 -0.043 -0.987 -1.582

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09701.46201.46202.45242.4524
H21.09702.31972.31973.18713.1871
C31.46202.31971.31851.08432.3126
C41.46202.31971.31852.31261.0843
H52.45243.18711.08432.31263.1647
H62.45243.18712.31261.08433.1647

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 63.198 C1 C3 H5 148.435
C1 C4 C3 63.198 C1 C4 H6 148.435
H2 C1 C3 129.502 H2 C1 C4 129.502
C3 C1 C4 53.604 C3 C4 H6 148.363
C4 C3 H5 148.363
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.490      
2 H 0.308      
3 C -0.333      
4 C -0.333      
5 H 0.425      
6 H 0.425      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.639 -1.365 0.000 1.508
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.636 1.431 0.000
y 1.431 -18.869 0.000
z 0.000 0.000 -15.853
Traceless
 xyz
x -2.275 1.431 0.000
y 1.431 -1.125 0.000
z 0.000 0.000 3.400
Polar
3z2-r26.800
x2-y2-0.767
xy1.431
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.331 -0.011 0.000
y -0.011 6.286 0.000
z 0.000 0.000 5.721


<r2> (average value of r2) Å2
<r2> 33.653
(<r2>)1/2 5.801