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

using model chemistry: PBE1PBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-79.066233
Energy at 298.15K-79.070035
HF Energy-79.066233
Nuclear repulsion energy36.993261
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/6-311G*
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' 3165 3034 18.43      
2 A' 3072 2945 27.68      
3 A' 2984 2860 30.70      
4 A' 1498 1436 6.06      
5 A' 1476 1415 2.51      
6 A' 1411 1352 3.81      
7 A' 1091 1046 0.06      
8 A' 985 945 0.74      
9 A' 460 441 64.07      
10 A" 3267 3131 20.37      
11 A" 3119 2989 24.27      
12 A" 1501 1438 7.06      
13 A" 1199 1149 2.85      
14 A" 816 782 3.17      
15 A" 113 108 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 13077.9 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 12535.1 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/6-311G*
ABC
3.46589 0.76202 0.70623

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.011 -0.690 0.000
C2 -0.011 0.791 0.000
H3 1.011 -1.105 0.000
H4 -0.508 -1.100 0.885
H5 -0.508 -1.100 -0.885
H6 0.066 1.350 -0.926
H7 0.066 1.350 0.926

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48171.10201.09431.09432.24192.2419
C21.48172.15352.14622.14621.08401.0840
H31.10202.15351.75731.75732.78852.7885
H41.09432.14621.75731.76963.09972.5162
H51.09432.14621.75731.76962.51623.0997
H62.24191.08402.78853.09972.51621.8517
H72.24191.08402.78852.51623.09971.8517

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 121.022 C1 C2 H7 121.022
C2 C1 H3 112.081 C2 C1 H4 111.967
C2 C1 H5 111.967 H3 C1 H4 106.278
H3 C1 H5 106.278 H4 C1 H5 107.908
H6 C2 H7 117.318
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.686      
2 C -0.450      
3 H 0.232      
4 H 0.231      
5 H 0.231      
6 H 0.221      
7 H 0.221      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.137 -0.236 0.000 0.273
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.273 0.190 0.000
y 0.190 -14.244 0.000
z 0.000 0.000 -13.518
Traceless
 xyz
x -1.392 0.190 0.000
y 0.190 0.152 0.000
z 0.000 0.000 1.241
Polar
3z2-r22.482
x2-y2-1.029
xy0.190
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.744 -0.028 0.000
y -0.028 3.938 0.000
z 0.000 0.000 3.350


<r2> (average value of r2) Å2
<r2> 27.687
(<r2>)1/2 5.262