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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-79.016651
Energy at 298.15K-79.020448
HF Energy-79.016651
Nuclear repulsion energy36.679522
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 PBEPBE/6-31G
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' 3107 3064 17.76      
2 A' 2996 2955 29.04      
3 A' 2893 2853 33.23      
4 A' 1479 1458 6.88      
5 A' 1457 1437 0.81      
6 A' 1406 1387 4.69      
7 A' 1077 1062 0.29      
8 A' 983 969 2.06      
9 A' 497 490 67.04      
10 A" 3214 3169 24.00      
11 A" 3049 3007 23.79      
12 A" 1485 1465 6.50      
13 A" 1185 1169 3.78      
14 A" 819 807 5.19      
15 A" 97 96 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 12871.1 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 12693.5 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 PBEPBE/6-31G
ABC
3.40110 0.75038 0.69497

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.009 -0.695 0.000
C2 -0.009 0.797 0.000
H3 1.023 -1.118 0.000
H4 -0.509 -1.109 0.894
H5 -0.509 -1.109 -0.894
H6 0.050 1.361 -0.935
H7 0.050 1.361 0.935

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.49221.11461.10531.10532.25962.2596
C21.49222.17512.16392.16391.09351.0935
H31.11462.17511.77391.77392.82242.8224
H41.10532.16391.77391.78863.12402.5328
H51.10532.16391.77391.78862.53283.1240
H62.25961.09352.82243.12402.53281.8698
H72.25961.09352.82242.53283.12401.8698

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 121.055 C1 C2 H7 121.055
C2 C1 H3 112.299 C2 C1 H4 111.976
C2 C1 H5 111.976 H3 C1 H4 106.093
H3 C1 H5 106.093 H4 C1 H5 108.021
H6 C2 H7 117.516
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.495      
2 C -0.272      
3 H 0.166      
4 H 0.162      
5 H 0.162      
6 H 0.138      
7 H 0.138      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.119 -0.274 0.000 0.299
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.041 0.135 0.000
y 0.135 -13.871 0.000
z 0.000 0.000 -13.449
Traceless
 xyz
x -1.381 0.135 0.000
y 0.135 0.374 0.000
z 0.000 0.000 1.007
Polar
3z2-r22.014
x2-y2-1.170
xy0.135
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.335 -0.046 0.000
y -0.046 3.755 0.000
z 0.000 0.000 3.224


<r2> (average value of r2) Å2
<r2> 27.863
(<r2>)1/2 5.279