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

using model chemistry: PBEPBE/3-21G

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/3-21G
Rotational Constants (cm-1) from geometry optimized at PBEPBE/3-21G
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-115.139671
Energy at 298.15K-115.141209
HF Energy-115.139671
Nuclear repulsion energy57.066291
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/3-21G
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' 3260 3231 0.16      
2 A' 3027 2999 42.42      
3 A' 1586 1571 0.64      
4 A' 1162 1152 16.13      
5 A' 965 956 13.18      
6 A' 906 897 6.80      
7 A' 634 628 92.55      
8 A" 3211 3182 1.24      
9 A" 1022 1013 20.44      
10 A" 961 952 17.03      
11 A" 870 862 0.14      
12 A" 612 606 22.93      

Unscaled Zero Point Vibrational Energy (zpe) 9107.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 9024.2 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/3-21G
ABC
1.03964 0.85157 0.48271

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.038 0.912 0.000
H2 0.770 1.656 0.000
C3 -0.038 -0.428 0.665
C4 -0.038 -0.428 -0.665
H5 -0.041 -0.999 1.583
H6 -0.041 -0.999 -1.583

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6
C11.09851.49611.49612.48202.4820
H21.09852.33222.33223.19633.1963
C31.49612.33221.33031.08132.3198
C41.49612.33221.33032.31981.0813
H52.48203.19631.08132.31983.1664
H62.48203.19632.31981.08133.1664

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 63.603 C1 C3 H5 148.292
C1 C4 C3 63.603 C1 C4 H6 148.292
H2 C1 C3 127.347 H2 C1 C4 127.347
C3 C1 C4 52.795 C3 C4 H6 148.104
C4 C3 H5 148.104
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.163      
2 H 0.184      
3 C -0.211      
4 C -0.211      
5 H 0.200      
6 H 0.200      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.752 -1.309 0.000 1.510
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -19.344 1.342 0.000
y 1.342 -17.970 0.000
z 0.000 0.000 -15.696
Traceless
 xyz
x -2.511 1.342 0.000
y 1.342 -0.450 0.000
z 0.000 0.000 2.961
Polar
3z2-r25.922
x2-y2-1.374
xy1.342
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.872 0.331 0.000
y 0.331 4.375 0.000
z 0.000 0.000 4.454


<r2> (average value of r2) Å2
<r2> 33.912
(<r2>)1/2 5.823