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

using model chemistry: PBEPBE/TZVP

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/TZVP
 hartrees
Energy at 0K-115.835632
Energy at 298.15K-115.837154
HF Energy-115.835632
Nuclear repulsion energy57.798567
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/TZVP
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' 3218 3181 0.07      
2 A' 2999 2966 51.77      
3 A' 1627 1609 0.29      
4 A' 1218 1204 8.66      
5 A' 945 935 20.77      
6 A' 889 879 7.15      
7 A' 584 578 71.10      
8 A" 3173 3137 1.88      
9 A" 993 982 24.98      
10 A" 948 937 7.65      
11 A" 844 834 0.22      
12 A" 655 648 37.58      

Unscaled Zero Point Vibrational Energy (zpe) 9045.8 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 8944.5 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/TZVP
ABC
1.05463 0.88702 0.49574

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.888 0.000
H2 0.737 1.667 0.000
C3 -0.036 -0.418 0.659
C4 -0.036 -0.418 -0.659
H5 -0.045 -0.986 1.584
H6 -0.045 -0.986 -1.584

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09811.46311.46312.45362.4536
H21.09812.32022.32023.18773.1877
C31.46312.32021.31861.08522.3143
C41.46312.32021.31862.31431.0852
H52.45363.18771.08522.31433.1687
H62.45363.18772.31431.08523.1687

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 63.217 C1 C3 H5 148.299
C1 C4 C3 63.217 C1 C4 H6 148.299
H2 C1 C3 129.333 H2 C1 C4 129.333
C3 C1 C4 53.567 C3 C4 H6 148.477
C4 C3 H5 148.477
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.227      
2 H 0.122      
3 C -0.091      
4 C -0.091      
5 H 0.144      
6 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.705 -1.387 0.000 1.556
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.446 1.465 0.000
y 1.465 -18.690 0.000
z 0.000 0.000 -15.808
Traceless
 xyz
x -2.198 1.465 0.000
y 1.465 -1.063 0.000
z 0.000 0.000 3.260
Polar
3z2-r26.521
x2-y2-0.757
xy1.465
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.238 0.236 0.000
y 0.236 5.555 0.000
z 0.000 0.000 5.309


<r2> (average value of r2) Å2
<r2> 33.592
(<r2>)1/2 5.796