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

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-115.849519
Energy at 298.15K-115.851148
HF Energy-115.849519
Nuclear repulsion energy58.258137
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/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' 3306 3177 0.38      
2 A' 3083 2963 51.82      
3 A' 1685 1619 0.35      
4 A' 1263 1213 7.71      
5 A' 983 945 22.31      
6 A' 919 884 5.30      
7 A' 623 598 67.38      
8 A" 3259 3132 3.38      
9 A" 1042 1001 22.38      
10 A" 989 950 5.25      
11 A" 894 859 0.23      
12 A" 723 695 40.75      

Unscaled Zero Point Vibrational Energy (zpe) 9383.5 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 9017.6 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/cc-pVTZ
ABC
1.07324 0.89964 0.50360

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.882 0.000
H2 0.732 1.655 0.000
C3 -0.036 -0.416 0.653
C4 -0.036 -0.416 -0.653
H5 -0.042 -0.979 1.571
H6 -0.042 -0.979 -1.571

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.08971.45241.45242.43492.4349
H21.08972.30282.30283.16263.1626
C31.45242.30281.30681.07662.2946
C41.45242.30281.30682.29461.0766
H52.43493.16261.07662.29463.1419
H62.43493.16262.29461.07663.1419

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 63.263 C1 C3 H5 148.276
C1 C4 C3 63.263 C1 C4 H6 148.276
H2 C1 C3 129.328 H2 C1 C4 129.328
C3 C1 C4 53.473 C3 C4 H6 148.458
C4 C3 H5 148.458
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.204      
2 H 0.113      
3 C -0.090      
4 C -0.090      
5 H 0.135      
6 H 0.135      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.624 -1.335 0.000 1.474
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.223 1.297 0.000
y 1.297 -18.335 0.000
z 0.000 0.000 -15.538
Traceless
 xyz
x -2.286 1.297 0.000
y 1.297 -0.955 0.000
z 0.000 0.000 3.241
Polar
3z2-r26.481
x2-y2-0.887
xy1.297
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.178 0.244 0.000
y 0.244 5.231 0.000
z 0.000 0.000 5.157


<r2> (average value of r2) Å2
<r2> 33.066
(<r2>)1/2 5.750