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All results from a given calculation for C2H5 (Ethyl 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 CS 2A'
Energy calculated at PBE1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-79.079543
Energy at 298.15K-79.083348
HF Energy-79.079543
Nuclear repulsion energy37.065941
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 A' 3161 3161 13.31      
2 A' 3064 3064 18.50      
3 A' 2976 2976 22.67      
4 A' 1477 1477 3.11      
5 A' 1460 1460 3.39      
6 A' 1391 1391 3.03      
7 A' 1086 1086 0.11      
8 A' 972 972 0.62      
9 A' 490 490 57.73      
10 A" 3263 3263 11.22      
11 A" 3111 3111 16.38      
12 A" 1475 1475 6.66      
13 A" 1188 1188 2.35      
14 A" 808 808 2.19      
15 A" 102 102 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 13011.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13011.6 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
3.47405 0.76556 0.70915

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.689 0.000
C2 -0.010 0.789 0.000
H3 1.012 -1.099 0.000
H4 -0.504 -1.097 0.885
H5 -0.504 -1.097 -0.885
H6 0.055 1.347 -0.925
H7 0.055 1.347 0.925

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.47891.10021.09231.09232.23742.2374
C21.47892.14682.14142.14141.08181.0818
H31.10022.14681.75501.75502.78412.7841
H41.09232.14141.75501.76933.09182.5072
H51.09232.14141.75501.76932.50723.0918
H62.23741.08182.78413.09182.50721.8499
H72.23741.08182.78412.50723.09181.8499

picture of Ethyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 121.008 C1 C2 H7 121.008
C2 C1 H3 111.849 C2 C1 H4 111.903
C2 C1 H5 111.903 H3 C1 H4 106.340
H3 C1 H5 106.340 H4 C1 H5 108.170
H6 C2 H7 117.517
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 -0.249      
2 C -0.381      
3 H 0.130      
4 H 0.123      
5 H 0.123      
6 H 0.126      
7 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.123 -0.300 0.000 0.324
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.375 0.164 0.000
y 0.164 -14.373 0.000
z 0.000 0.000 -13.625
Traceless
 xyz
x -1.376 0.164 0.000
y 0.164 0.127 0.000
z 0.000 0.000 1.249
Polar
3z2-r22.498
x2-y2-1.002
xy0.164
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.788 -0.059 0.000
y -0.059 4.573 0.000
z 0.000 0.000 3.812


<r2> (average value of r2) Å2
<r2> 27.678
(<r2>)1/2 5.261