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

using model chemistry: PBEPBE/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-117.129926
Energy at 298.15K-117.134114
HF Energy-117.129926
Nuclear repulsion energy64.746565
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/6-311+G(3df,2p)
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 3171 3145 13.67      
2 A1 3075 3050 5.44      
3 A1 3060 3035 10.57      
4 A1 1468 1456 2.84      
5 A1 1238 1228 1.59      
6 A1 1012 1004 0.02      
7 A1 412 408 0.07      
8 A2 771 765 0.00      
9 A2 533 528 0.00      
10 B1 981 973 21.12      
11 B1 796 790 70.76      
12 B1 512 508 18.51      
13 B2 3168 3142 4.04      
14 B2 3070 3044 6.37      
15 B2 1477 1465 1.73      
16 B2 1378 1366 5.08      
17 B2 1200 1190 0.96      
18 B2 904 897 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 14112.3 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 13996.5 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/6-311+G(3df,2p)
ABC
1.82090 0.34326 0.28882

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

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 1.538
C3 0.000 1.230 -0.196
C4 0.000 -1.230 -0.196
H5 0.000 2.163 0.364
H6 0.000 -2.163 0.364
H7 0.000 1.297 -1.285
H8 0.000 -1.297 -1.285

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6 H7 H8
C11.09501.38591.38592.16452.16452.16102.1610
H21.09502.12592.12592.46112.46113.10703.1070
C31.38592.12592.45921.08873.43861.09112.7516
C41.38592.12592.45923.43861.08872.75161.0911
H52.16452.46111.08873.43864.32621.86273.8333
H62.16452.46113.43861.08874.32623.83331.8627
H72.16103.10701.09112.75161.86273.83332.5945
H82.16103.10702.75161.09113.83331.86272.5945

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 121.561 C1 C3 H7 121.025
C1 C4 H6 121.561 C1 C4 H8 121.025
H2 C1 C3 117.470 H2 C1 C4 117.470
C3 C1 C4 125.061 H5 C3 H7 117.414
H6 C4 H8 117.414
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.311      
2 H 0.091      
3 C -0.439      
4 C -0.439      
5 H 0.125      
6 H 0.125      
7 H 0.113      
8 H 0.113      


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 0.053 0.053
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.576 0.000 0.000
y 0.000 -18.264 0.000
z 0.000 0.000 -17.910
Traceless
 xyz
x -4.489 0.000 0.000
y 0.000 1.979 0.000
z 0.000 0.000 2.510
Polar
3z2-r25.020
x2-y2-4.312
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.588 0.000 0.000
y 0.000 8.939 0.000
z 0.000 0.000 5.557


<r2> (average value of r2) Å2
<r2> 50.672
(<r2>)1/2 7.118