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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-115.803793
Energy at 298.15K-115.805305
HF Energy-115.803793
Nuclear repulsion energy57.320960
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/cc-pVDZ
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' 3217 3199 0.02      
2 A' 2975 2957 61.62      
3 A' 1631 1622 0.24      
4 A' 1223 1216 9.77      
5 A' 946 941 22.31      
6 A' 874 869 5.86      
7 A' 586 583 51.09      
8 A" 3169 3151 0.90      
9 A" 979 973 26.95      
10 A" 924 919 2.08      
11 A" 836 832 0.30      
12 A" 660 656 30.37      

Unscaled Zero Point Vibrational Energy (zpe) 9009.9 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 8957.6 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 PBEPBE/cc-pVDZ
ABC
1.03648 0.87265 0.48821

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 1.669 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
C11.11071.47521.47522.47542.4754
H21.11072.33382.33383.20733.2073
C31.47522.33381.32931.09472.3328
C41.47522.33381.32932.33281.0947
H52.47543.20731.09472.33283.1923
H62.47543.20732.33281.09473.1923

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 63.221 C1 C3 H5 148.468
C1 C4 C3 63.221 C1 C4 H6 148.468
H2 C1 C3 128.421 H2 C1 C4 128.421
C3 C1 C4 53.557 C3 C4 H6 148.310
C4 C3 H5 148.310
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/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
  0.615 -1.341 0.000 1.475
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.018 1.162 0.000
y 1.162 -18.289 0.000
z 0.000 0.000 -15.674
Traceless
 xyz
x -2.037 1.162 0.000
y 1.162 -0.943 0.000
z 0.000 0.000 2.980
Polar
3z2-r25.959
x2-y2-0.729
xy1.162
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.551 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