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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-79.037798
Energy at 298.15K-79.041576
HF Energy-79.037798
Nuclear repulsion energy36.757582
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' 3103 3061 15.72      
2 A' 2997 2956 23.52      
3 A' 2897 2857 27.80      
4 A' 1447 1427 2.44      
5 A' 1431 1411 2.90      
6 A' 1358 1340 1.56      
7 A' 1067 1052 0.19      
8 A' 946 933 1.12      
9 A' 462 456 51.07      
10 A" 3205 3161 16.60      
11 A" 3048 3007 19.38      
12 A" 1446 1426 4.13      
13 A" 1157 1141 2.93      
14 A" 791 780 3.43      
15 A" 119 117 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 12736.7 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 12562.2 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 PBEPBE/6-31G**
ABC
3.40943 0.75442 0.69860

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 -0.011 -0.693 0.000
C2 -0.011 0.795 0.000
H3 1.019 -1.115 0.000
H4 -0.510 -1.107 0.893
H5 -0.510 -1.107 -0.893
H6 0.065 1.357 -0.934
H7 0.065 1.357 0.934

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48781.11261.10361.10362.25402.2540
C21.48782.16942.15932.15931.09261.0926
H31.11262.16941.77041.77042.80912.8091
H41.10362.15931.77041.78633.12072.5304
H51.10362.15931.77041.78632.53043.1207
H62.25401.09262.80913.12072.53041.8673
H72.25401.09262.80912.53043.12071.8673

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 120.974 C1 C2 H7 120.974
C2 C1 H3 112.274 C2 C1 H4 112.022
C2 C1 H5 112.022 H3 C1 H4 106.039
H3 C1 H5 106.039 H4 C1 H5 108.053
H6 C2 H7 117.425
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 -0.385      
2 C -0.244      
3 H 0.135      
4 H 0.132      
5 H 0.132      
6 H 0.115      
7 H 0.115      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.126 -0.264 0.000 0.292
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -14.920 0.157 0.000
y 0.157 -13.880 0.000
z 0.000 0.000 -13.400
Traceless
 xyz
x -1.279 0.157 0.000
y 0.157 0.280 0.000
z 0.000 0.000 1.000
Polar
3z2-r22.000
x2-y2-1.039
xy0.157
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.471 -0.030 0.000
y -0.030 3.894 0.000
z 0.000 0.000 3.323


<r2> (average value of r2) Å2
<r2> 27.740
(<r2>)1/2 5.267