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

using model chemistry: PBE1PBE/6-31G**

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/6-31G**
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-115.807575
Energy at 298.15K-115.809203
HF Energy-115.807575
Nuclear repulsion energy58.019446
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3337 3181 0.05      
2 A' 3102 2956 63.32      
3 A' 1706 1626 0.25      
4 A' 1282 1222 10.66      
5 A' 1021 973 17.77      
6 A' 932 888 6.32      
7 A' 615 586 65.10      
8 A" 3291 3137 0.77      
9 A" 1051 1002 24.86      
10 A" 999 952 3.03      
11 A" 881 840 0.28      
12 A" 738 703 32.52      

Unscaled Zero Point Vibrational Energy (zpe) 9477.5 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 9033.0 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/6-31G**
ABC
1.06293 0.89294 0.49991

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.037 0.886 0.000
H2 0.747 1.649 0.000
C3 -0.037 -0.417 0.656
C4 -0.037 -0.417 -0.656
H5 -0.040 -0.981 1.578
H6 -0.040 -0.981 -1.578

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09421.45901.45902.44452.4445
H21.09422.30532.30533.16653.1665
C31.45902.30531.31241.08042.3040
C41.45902.30531.31242.30401.0804
H52.44453.16651.08042.30403.1554
H62.44453.16652.30401.08043.1554

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 63.273 C1 C3 H5 148.200
C1 C4 C3 63.273 C1 C4 H6 148.200
H2 C1 C3 128.516 H2 C1 C4 128.516
C3 C1 C4 53.454 C3 C4 H6 148.527
C4 C3 H5 148.527
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.240      
2 H 0.155      
3 C -0.144      
4 C -0.144      
5 H 0.186      
6 H 0.186      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.645 -1.306 0.000 1.456
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.744 1.200 0.000
y 1.200 -17.912 0.000
z 0.000 0.000 -15.327
Traceless
 xyz
x -2.124 1.200 0.000
y 1.200 -0.877 0.000
z 0.000 0.000 3.001
Polar
3z2-r26.002
x2-y2-0.832
xy1.200
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.194 0.342 0.000
y 0.342 4.557 0.000
z 0.000 0.000 4.697


<r2> (average value of r2) Å2
<r2> 32.996
(<r2>)1/2 5.744