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All results from a given calculation for CH3 (Methyl radical)

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 2A1
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-39.786952
Energy at 298.15K-39.788147
HF Energy-39.786952
Nuclear repulsion energy9.614303
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 PBEPBEultrafine/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' 3048 3048 0.00 145.04 0.07 0.13
2 A2" 531 531 75.55 0.00 0.75 0.86
3 E' 3226 3226 3.41 27.95 0.75 0.86
3 E' 3226 3226 3.41 27.95 0.75 0.86
4 E' 1355 1355 3.22 0.65 0.75 0.86
4 E' 1355 1355 3.21 0.65 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 6370.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 6370.7 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 PBEPBEultrafine/6-311+G(3df,2p)
ABC
9.45386 9.45386 4.72693

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
H2 0.000 1.086 0.000
H3 0.941 -0.543 0.000
H4 -0.941 -0.543 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4
C11.08611.08611.0861
H21.08611.88111.8811
H31.08611.88111.8811
H41.08611.88111.8811

picture of Methyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H2 C1 H3 120.000 H2 C1 H4 120.000
H3 C1 H4 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.433      
2 H 0.144      
3 H 0.144      
4 H 0.144      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -7.336 0.000 0.000
y 0.000 -7.336 0.000
z 0.000 0.000 -9.297
Traceless
 xyz
x 0.981 0.000 0.000
y 0.000 0.981 0.000
z 0.000 0.000 -1.962
Polar
3z2-r2-3.923
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.347 0.000 0.000
y 0.000 2.347 0.000
z 0.000 0.000 2.468


<r2> (average value of r2) Å2
<r2> 8.529
(<r2>)1/2 2.920