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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-78.699945
Energy at 298.15K-78.703745
HF Energy-78.699945
Nuclear repulsion energy36.814341
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 B3PW91/3-21G
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' 3166 3043 13.77      
2 A' 3070 2950 20.61      
3 A' 2980 2864 21.69      
4 A' 1541 1481 8.29      
5 A' 1498 1440 0.23      
6 A' 1454 1397 7.78      
7 A' 1052 1011 0.30      
8 A' 1017 977 2.57      
9 A' 462 444 71.09      
10 A" 3272 3145 15.76      
11 A" 3114 2993 16.60      
12 A" 1549 1489 7.11      
13 A" 1224 1176 4.54      
14 A" 844 811 5.94      
15 A" 100 96 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 13169.8 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 12658.8 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 B3PW91/3-21G
ABC
3.42817 0.75323 0.69823

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.697 0.000
C2 -0.010 0.798 0.000
H3 1.017 -1.106 0.000
H4 -0.511 -1.099 0.890
H5 -0.511 -1.099 -0.890
H6 0.061 1.351 -0.931
H7 0.061 1.351 0.931

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.49481.10521.09731.09732.25082.2508
C21.49482.16272.15422.15421.08491.0849
H31.10522.16271.76821.76822.79562.7956
H41.09732.15421.76821.77913.10542.5164
H51.09732.15421.76821.77912.51643.1054
H62.25081.08492.79563.10542.51641.8610
H72.25081.08492.79562.51643.10541.8610

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 120.667 C1 C2 H7 120.667
C2 C1 H3 111.691 C2 C1 H4 111.489
C2 C1 H5 111.489 H3 C1 H4 106.800
H3 C1 H5 106.800 H4 C1 H5 108.322
H6 C2 H7 118.109
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.680      
2 C -0.392      
3 H 0.224      
4 H 0.222      
5 H 0.222      
6 H 0.202      
7 H 0.202      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.137 -0.221 0.000 0.260
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.060 0.173 0.000
y 0.173 -13.768 0.000
z 0.000 0.000 -13.368
Traceless
 xyz
x -1.492 0.173 0.000
y 0.173 0.446 0.000
z 0.000 0.000 1.046
Polar
3z2-r22.092
x2-y2-1.292
xy0.173
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.137 -0.019 0.000
y -0.019 3.448 0.000
z 0.000 0.000 3.024


<r2> (average value of r2) Å2
<r2> 27.688
(<r2>)1/2 5.262