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All results from a given calculation for C3H5 (Allyl radical)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-117.096664
Energy at 298.15K-117.100833
HF Energy-117.096664
Nuclear repulsion energy64.602935
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3191 3158 15.03      
2 A1 3093 3061 4.38      
3 A1 3076 3045 13.32      
4 A1 1469 1454 2.10      
5 A1 1237 1225 1.29      
6 A1 1015 1005 0.01      
7 A1 406 402 0.05      
8 A2 756 748 0.00      
9 A2 535 530 0.00      
10 B1 987 977 13.07      
11 B1 779 771 57.87      
12 B1 518 513 11.66      
13 B2 3189 3156 3.87      
14 B2 3087 3055 5.77      
15 B2 1476 1461 0.18      
16 B2 1376 1361 5.16      
17 B2 1210 1198 0.12      
18 B2 900 891 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 14150.0 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 14004.3 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(2df,p)
ABC
1.81849 0.34132 0.28738

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.443
H2 0.000 0.000 1.540
C3 0.000 1.233 -0.196
C4 0.000 -1.233 -0.196
H5 0.000 2.169 0.364
H6 0.000 -2.169 0.364
H7 0.000 1.302 -1.287
H8 0.000 -1.302 -1.287

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6 H7 H8
C11.09741.38861.38862.17072.17072.16512.1651
H21.09742.12942.12942.46742.46743.11273.1127
C31.38862.12942.46601.09113.44811.09352.7597
C41.38862.12942.46603.44811.09112.75971.0935
H52.17072.46741.09113.44814.33851.86563.8439
H62.17072.46743.44811.09114.33853.84391.8656
H72.16513.11271.09352.75971.86563.84392.6035
H82.16513.11272.75971.09353.84391.86562.6035

picture of Allyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H5 121.719 C1 C3 H7 120.988
C1 C4 H6 121.719 C1 C4 H8 120.988
H2 C1 C3 117.384 H2 C1 C4 117.384
C3 C1 C4 125.232 H5 C3 H7 117.293
H6 C4 H8 117.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.053      
2 H 0.096      
3 C -0.322      
4 C -0.322      
5 H 0.127      
6 H 0.127      
7 H 0.121      
8 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.069 0.069
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.392 0.000 0.000
y 0.000 -17.606 0.000
z 0.000 0.000 -17.411
Traceless
 xyz
x -3.883 0.000 0.000
y 0.000 1.795 0.000
z 0.000 0.000 2.088
Polar
3z2-r24.176
x2-y2-3.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.416 0.000 0.000
y 0.000 7.737 0.000
z 0.000 0.000 4.851


<r2> (average value of r2) Å2
<r2> 50.377
(<r2>)1/2 7.098