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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-79.030867
Energy at 298.15K-79.034644
HF Energy-79.030867
Nuclear repulsion energy36.728368
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/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3106 3055 16.34      
2 A' 2996 2946 24.61      
3 A' 2896 2848 29.41      
4 A' 1462 1438 3.77      
5 A' 1444 1421 2.07      
6 A' 1378 1355 1.55      
7 A' 1070 1052 0.16      
8 A' 959 943 1.24      
9 A' 457 449 54.63      
10 A" 3203 3150 18.23      
11 A" 3045 2995 20.63      
12 A" 1466 1442 4.58      
13 A" 1167 1148 3.07      
14 A" 796 782 3.48      
15 A" 120 118 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 12781.8 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 12570.9 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/6-31G*
ABC
3.40202 0.75338 0.69773

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.011 -0.693 0.000
C2 -0.011 0.795 0.000
H3 1.020 -1.116 0.000
H4 -0.512 -1.107 0.894
H5 -0.512 -1.107 -0.894
H6 0.067 1.358 -0.934
H7 0.067 1.358 0.934

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48871.11391.10491.10492.25552.2555
C21.48872.17162.16052.16051.09331.0933
H31.11392.17161.77311.77312.81092.8109
H41.10492.16051.77311.78813.12292.5322
H51.10492.16051.77311.78812.53223.1229
H62.25551.09332.81093.12292.53221.8682
H72.25551.09332.81092.53223.12291.8682

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 120.978 C1 C2 H7 120.978
C2 C1 H3 112.306 C2 C1 H4 111.967
C2 C1 H5 111.967 H3 C1 H4 106.095
H3 C1 H5 106.095 H4 C1 H5 108.031
H6 C2 H7 117.377
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.501      
2 C -0.313      
3 H 0.171      
4 H 0.169      
5 H 0.169      
6 H 0.152      
7 H 0.152      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.132 -0.253 0.000 0.286
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.946 0.169 0.000
y 0.169 -13.894 0.000
z 0.000 0.000 -13.379
Traceless
 xyz
x -1.310 0.169 0.000
y 0.169 0.269 0.000
z 0.000 0.000 1.041
Polar
3z2-r22.082
x2-y2-1.052
xy0.169
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.413 -0.029 0.000
y -0.029 3.827 0.000
z 0.000 0.000 3.269


<r2> (average value of r2) Å2
<r2> 27.771
(<r2>)1/2 5.270