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

using model chemistry: PBEPBEultrafine/cc-pVDZ

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-115.803794
Energy at 298.15K-115.805305
HF Energy-115.803794
Nuclear repulsion energy57.322216
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/cc-pVDZ
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' 3216 3197 0.02      
2 A' 2977 2959 61.57      
3 A' 1631 1621 0.24      
4 A' 1223 1216 9.76      
5 A' 945 940 22.38      
6 A' 874 869 5.79      
7 A' 586 583 51.12      
8 A" 3168 3149 0.90      
9 A" 979 973 27.15      
10 A" 925 920 1.98      
11 A" 836 832 0.30      
12 A" 660 656 30.26      

Unscaled Zero Point Vibrational Energy (zpe) 9009.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 8957.0 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 PBEPBEultrafine/cc-pVDZ
ABC
1.03647 0.87277 0.48821

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.038 0.896 0.000
H2 0.759 1.670 0.000
C3 -0.038 -0.421 0.665
C4 -0.038 -0.421 -0.665
H5 -0.038 -0.996 1.596
H6 -0.038 -0.996 -1.596

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.11061.47521.47522.47522.4752
H21.11062.33412.33413.20773.2077
C31.47522.33411.32931.09472.3329
C41.47522.33411.32932.33291.0947
H52.47523.20771.09472.33293.1928
H62.47523.20772.33291.09473.1928

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 63.219 C1 C3 H5 148.447
C1 C4 C3 63.219 C1 C4 H6 148.447
H2 C1 C3 128.470 H2 C1 C4 128.470
C3 C1 C4 53.561 C3 C4 H6 148.333
C4 C3 H5 148.333
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.094      
2 H 0.035      
3 C 0.023      
4 C 0.023      
5 H 0.007      
6 H 0.007      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.614 -1.340 0.000 1.474
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.019 1.163 0.000
y 1.163 -18.288 0.000
z 0.000 0.000 -15.672
Traceless
 xyz
x -2.040 1.163 0.000
y 1.163 -0.942 0.000
z 0.000 0.000 2.982
Polar
3z2-r25.964
x2-y2-0.732
xy1.163
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.550 0.373 0.000
y 0.373 4.969 0.000
z 0.000 0.000 5.017


<r2> (average value of r2) Å2
<r2> 33.747
(<r2>)1/2 5.809