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All results from a given calculation for C2H5 (Ethyl radical)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-79.144916
Energy at 298.15K-79.148731
HF Energy-79.144916
Nuclear repulsion energy36.990450
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 mPW1PW91/6-31G(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 A' 3182 3038 13.63      
2 A' 3085 2945 21.55      
3 A' 2996 2861 23.96      
4 A' 1484 1417 2.93      
5 A' 1469 1402 2.23      
6 A' 1397 1334 1.34      
7 A' 1087 1037 0.11      
8 A' 979 935 0.51      
9 A' 463 442 46.88      
10 A" 3288 3139 12.69      
11 A" 3133 2991 17.54      
12 A" 1485 1418 4.09      
13 A" 1194 1140 2.73      
14 A" 808 772 2.28      
15 A" 121 116 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 13086.1 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 12493.3 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 mPW1PW91/6-31G(2df,p)
ABC
3.46401 0.76152 0.70581

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.011 -0.691 0.000
C2 -0.011 0.792 0.000
H3 1.010 -1.104 0.000
H4 -0.508 -1.098 0.885
H5 -0.508 -1.098 -0.885
H6 0.069 1.348 -0.926
H7 0.069 1.348 0.926

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48351.10141.09391.09392.24122.2412
C21.48352.15372.14582.14581.08281.0828
H31.10142.15371.75781.75782.78512.7851
H41.09392.14581.75781.77043.09802.5138
H51.09392.14581.75781.77042.51383.0980
H62.24121.08282.78513.09802.51381.8515
H72.24121.08282.78512.51383.09801.8515

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 120.896 C1 C2 H7 120.896
C2 C1 H3 112.008 C2 C1 H4 111.837
C2 C1 H5 111.837 H3 C1 H4 106.392
H3 C1 H5 106.392 H4 C1 H5 108.043
H6 C2 H7 117.506
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.435      
2 C -0.306      
3 H 0.152      
4 H 0.151      
5 H 0.151      
6 H 0.144      
7 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.121 -0.223 0.000 0.254
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.749 0.166 0.000
y 0.166 -13.856 0.000
z 0.000 0.000 -13.245
Traceless
 xyz
x -1.198 0.166 0.000
y 0.166 0.141 0.000
z 0.000 0.000 1.057
Polar
3z2-r22.115
x2-y2-0.893
xy0.166
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.623 -0.013 0.000
y -0.013 3.812 0.000
z 0.000 0.000 3.312


<r2> (average value of r2) Å2
<r2> 27.441
(<r2>)1/2 5.238