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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-79.034257
Energy at 298.15K-79.038090
HF Energy-79.034257
Nuclear repulsion energy36.904511
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/6-31G
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' 3193 3052 16.00      
2 A' 3091 2955 27.23      
3 A' 2998 2865 28.50      
4 A' 1527 1460 8.26      
5 A' 1502 1436 0.93      
6 A' 1457 1393 6.41      
7 A' 1107 1058 0.16      
8 A' 1019 974 1.75      
9 A' 503 480 70.39      
10 A" 3303 3158 20.69      
11 A" 3141 3003 21.76      
12 A" 1533 1465 7.53      
13 A" 1226 1172 3.83      
14 A" 844 806 5.04      
15 A" 98 94 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 13270.4 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 12685.2 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/6-31G
ABC
3.45148 0.75777 0.70229

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.008 -0.693 0.000
C2 -0.008 0.794 0.000
H3 1.015 -1.108 0.000
H4 -0.508 -1.101 0.887
H5 -0.508 -1.101 -0.887
H6 0.051 1.353 -0.928
H7 0.051 1.353 0.928

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48681.10421.09631.09632.24732.2473
C21.48682.15972.15072.15071.08511.0851
H31.10422.15971.76191.76192.80112.8011
H41.09632.15071.76191.77343.10272.5170
H51.09632.15071.76191.77342.51703.1027
H62.24731.08512.80113.10272.51701.8562
H72.24731.08512.80112.51703.10271.8562

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 121.011 C1 C2 H7 121.011
C2 C1 H3 112.081 C2 C1 H4 111.846
C2 C1 H5 111.846 H3 C1 H4 106.388
H3 C1 H5 106.388 H4 C1 H5 107.955
H6 C2 H7 117.587
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.538      
2 C -0.301      
3 H 0.179      
4 H 0.176      
5 H 0.176      
6 H 0.154      
7 H 0.154      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.119 -0.238 0.000 0.266
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.011 0.145 0.000
y 0.145 -13.858 0.000
z 0.000 0.000 -13.408
Traceless
 xyz
x -1.378 0.145 0.000
y 0.145 0.352 0.000
z 0.000 0.000 1.026
Polar
3z2-r22.052
x2-y2-1.154
xy0.145
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.285 -0.029 0.000
y -0.029 3.556 0.000
z 0.000 0.000 3.152


<r2> (average value of r2) Å2
<r2> 27.623
(<r2>)1/2 5.256