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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-115.759589
Energy at 298.15K-115.761113
HF Energy-115.759589
Nuclear repulsion energy57.098113
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/6-31G
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' 3272 3227 0.06      
2 A' 3047 3005 51.97      
3 A' 1614 1591 0.34      
4 A' 1209 1192 12.79      
5 A' 961 948 16.22      
6 A' 910 897 6.06      
7 A' 599 591 83.93      
8 A" 3223 3178 0.41      
9 A" 1022 1008 22.53      
10 A" 976 962 11.46      
11 A" 843 831 0.00      
12 A" 631 622 27.19      

Unscaled Zero Point Vibrational Energy (zpe) 9152.5 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 9026.2 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/6-31G
ABC
1.03528 0.85880 0.48272

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.036 0.904 0.000
H2 0.738 1.685 0.000
C3 -0.036 -0.427 0.667
C4 -0.036 -0.427 -0.667
H5 -0.043 -0.996 1.590
H6 -0.043 -0.996 -1.590

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09941.48901.48902.47782.4778
H21.09942.34582.34583.21303.2130
C31.48902.34581.33481.08432.3284
C41.48902.34581.33482.32841.0843
H52.47783.21301.08432.32843.1809
H62.47783.21302.32841.08433.1809

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 63.371 C1 C3 H5 148.277
C1 C4 C3 63.371 C1 C4 H6 148.277
H2 C1 C3 129.384 H2 C1 C4 129.384
C3 C1 C4 53.258 C3 C4 H6 148.349
C4 C3 H5 148.349
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.174      
2 H 0.127      
3 C -0.139      
4 C -0.139      
5 H 0.162      
6 H 0.162      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.721 -1.297 0.000 1.484
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.950 1.307 0.000
y 1.307 -17.996 0.000
z 0.000 0.000 -15.656
Traceless
 xyz
x -2.124 1.307 0.000
y 1.307 -0.693 0.000
z 0.000 0.000 2.817
Polar
3z2-r25.634
x2-y2-0.954
xy1.307
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.093 0.343 0.000
y 0.343 4.643 0.000
z 0.000 0.000 4.743


<r2> (average value of r2) Å2
<r2> 33.840
(<r2>)1/2 5.817