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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-117.147494
Energy at 298.15K-117.151765
HF Energy-117.147494
Nuclear repulsion energy65.151767
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 PBE1PBE/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 3258 3258 11.55      
2 A1 3160 3160 2.00      
3 A1 3152 3152 11.26      
4 A1 1515 1515 3.28      
5 A1 1276 1276 1.47      
6 A1 1041 1041 0.03      
7 A1 423 423 0.09      
8 A2 798 798 0.00      
9 A2 556 556 0.00      
10 B1 1014 1014 21.35      
11 B1 824 824 75.62      
12 B1 530 530 18.19      
13 B2 3256 3256 3.42      
14 B2 3154 3154 6.43      
15 B2 1513 1513 1.02      
16 B2 1416 1416 6.85      
17 B2 1210 1210 0.26      
18 B2 930 930 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 14512.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 14512.2 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 PBE1PBE/6-311+G(3df,2p)
ABC
1.83606 0.34810 0.29262

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.530
C3 0.000 1.221 -0.196
C4 0.000 -1.221 -0.196
H5 0.000 2.149 0.359
H6 0.000 -2.149 0.359
H7 0.000 1.285 -1.278
H8 0.000 -1.285 -1.278

Atom - Atom Distances (Å)
  C1 H2 C3 C4 H5 H6 H7 H8
C11.08711.37811.37812.15112.15112.14722.1472
H21.08712.11422.11422.44782.44783.08763.0876
C31.37812.11422.44231.08153.41601.08372.7293
C41.37812.11422.44233.41601.08152.72931.0837
H52.15112.44781.08153.41604.29901.85123.8042
H62.15112.44783.41601.08154.29903.80421.8512
H72.14723.08761.08372.72931.85123.80422.5692
H82.14723.08762.72931.08373.80421.85122.5692

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 121.522 C1 C3 H7 120.968
C1 C4 H6 121.522 C1 C4 H8 120.968
H2 C1 C3 117.611 H2 C1 C4 117.611
C3 C1 C4 124.778 H5 C3 H7 117.510
H6 C4 H8 117.510
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.328      
2 H 0.091      
3 C -0.446      
4 C -0.446      
5 H 0.124      
6 H 0.124      
7 H 0.112      
8 H 0.112      


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 0.043 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.440 0.000 0.000
y 0.000 -17.956 0.000
z 0.000 0.000 -17.640
Traceless
 xyz
x -4.642 0.000 0.000
y 0.000 2.084 0.000
z 0.000 0.000 2.558
Polar
3z2-r25.115
x2-y2-4.484
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.412 0.000 0.000
y 0.000 8.485 0.000
z 0.000 0.000 5.326


<r2> (average value of r2) Å2
<r2> 50.019
(<r2>)1/2 7.072