return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-115.794323
Energy at 298.15K-115.795839
HF Energy-115.794323
Nuclear repulsion energy57.532695
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/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' 3229 3175 0.37      
2 A' 2996 2947 67.56      
3 A' 1641 1614 0.27      
4 A' 1236 1215 10.66      
5 A' 982 966 17.89      
6 A' 898 883 6.26      
7 A' 577 567 55.88      
8 A" 3184 3131 0.02      
9 A" 1002 985 28.11      
10 A" 951 935 1.84      
11 A" 833 819 0.26      
12 A" 672 661 25.34      

Unscaled Zero Point Vibrational Energy (zpe) 9099.1 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 8949.0 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/6-31G*
ABC
1.04424 0.87865 0.49173

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.038 0.894 0.000
H2 0.757 1.659 0.000
C3 -0.038 -0.420 0.662
C4 -0.038 -0.420 -0.662
H5 -0.039 -0.990 1.590
H6 -0.039 -0.990 -1.590

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.10351.47111.47112.46542.4654
H21.10352.32212.32213.19083.1908
C31.47112.32211.32441.08912.3233
C41.47112.32211.32442.32331.0891
H52.46543.19081.08912.32333.1800
H62.46543.19082.32331.08913.1800

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 63.248 C1 C3 H5 148.338
C1 C4 C3 63.248 C1 C4 H6 148.338
H2 C1 C3 128.261 H2 C1 C4 128.261
C3 C1 C4 53.505 C3 C4 H6 148.414
C4 C3 H5 148.414
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 H 0.138      
3 C -0.113      
4 C -0.113      
5 H 0.158      
6 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.643 -1.325 0.000 1.473
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.712 1.188 0.000
y 1.188 -18.005 0.000
z 0.000 0.000 -15.449
Traceless
 xyz
x -1.985 1.188 0.000
y 1.188 -0.925 0.000
z 0.000 0.000 2.910
Polar
3z2-r25.820
x2-y2-0.707
xy1.188
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.236 0.369 0.000
y 0.369 4.690 0.000
z 0.000 0.000 4.784


<r2> (average value of r2) Å2
<r2> 33.403
(<r2>)1/2 5.780