return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-78.670368
Energy at 298.15K-78.674116
HF Energy-78.670368
Nuclear repulsion energy36.800111
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 M06-2X/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' 3173 3005 9.83      
2 A' 3061 2900 13.81      
3 A' 2986 2829 14.18      
4 A' 1548 1467 8.10      
5 A' 1510 1430 0.49      
6 A' 1462 1385 6.63      
7 A' 1055 999 0.31      
8 A' 1022 968 2.78      
9 A' 421 399 60.30      
10 A" 3280 3106 9.44      
11 A" 3103 2939 10.98      
12 A" 1552 1470 6.91      
13 A" 1230 1165 4.02      
14 A" 839 794 5.15      
15 A" 93 88 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 13166.8 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 12471.6 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 M06-2X/3-21G*
ABC
3.43636 0.74998 0.69606

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.013 -0.700 0.000
C2 -0.013 0.801 0.000
H3 1.012 -1.106 0.000
H4 -0.515 -1.098 0.888
H5 -0.515 -1.098 -0.888
H6 0.085 1.349 -0.928
H7 0.085 1.349 0.928

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.50091.10191.09481.09482.25172.2517
C21.50092.16422.15492.15491.08221.0822
H31.10192.16421.76661.76662.78322.7832
H41.09482.15491.76661.77523.10512.5194
H51.09482.15491.76661.77522.51943.1051
H62.25171.08222.78323.10512.51941.8557
H72.25171.08222.78322.51943.10511.8557

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 120.447 C1 C2 H7 120.447
C2 C1 H3 111.588 C2 C1 H4 111.279
C2 C1 H5 111.279 H3 C1 H4 107.069
H3 C1 H5 107.069 H4 C1 H5 108.345
H6 C2 H7 118.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.639      
2 C -0.365      
3 H 0.209      
4 H 0.208      
5 H 0.208      
6 H 0.189      
7 H 0.189      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.162 -0.193 0.000 0.252
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.137 0.228 0.000
y 0.228 -13.954 0.000
z 0.000 0.000 -13.522
Traceless
 xyz
x -1.399 0.228 0.000
y 0.228 0.375 0.000
z 0.000 0.000 1.024
Polar
3z2-r22.048
x2-y2-1.183
xy0.228
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.114 0.000 0.000
y 0.000 3.349 0.000
z 0.000 0.000 2.976


<r2> (average value of r2) Å2
<r2> 27.801
(<r2>)1/2 5.273