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

using model chemistry: B3LYP/CEP-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 B3LYP/CEP-31G
 hartrees
Energy at 0K-14.227152
Energy at 298.15K-14.230806
HF Energy-14.227152
Nuclear repulsion energy22.203020
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 B3LYP/CEP-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' 3138 3039 29.96      
2 A' 3063 2966 57.85      
3 A' 2978 2884 45.14      
4 A' 1493 1446 11.09      
5 A' 1461 1415 1.46      
6 A' 1417 1372 5.59      
7 A' 1065 1031 0.08      
8 A' 986 955 0.77      
9 A' 493 477 120.62      
10 A" 3252 3149 61.29      
11 A" 3109 3010 47.82      
12 A" 1500 1452 8.64      
13 A" 1186 1148 3.32      
14 A" 807 782 6.78      
15 A" 25 25 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 12985.6 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 12575.2 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 B3LYP/CEP-31G
ABC
3.37888 0.72835 0.67579

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.007 -0.711 0.000
C2 -0.007 0.811 0.000
H3 1.026 -1.123 0.000
H4 -0.512 -1.116 0.896
H5 -0.512 -1.116 -0.896
H6 0.041 1.376 -0.939
H7 0.041 1.376 0.939

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.52251.11241.10541.10542.28862.2886
C21.52252.19312.18452.18451.09641.0964
H31.11242.19311.78051.78052.84512.8451
H41.10542.18451.78051.79193.14322.5525
H51.10542.18451.78051.79192.55253.1432
H62.28861.09642.84513.14322.55251.8777
H72.28861.09642.84512.55253.14321.8777

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 120.970 C1 C2 H7 120.970
C2 C1 H3 111.732 C2 C1 H4 111.477
C2 C1 H5 111.477 H3 C1 H4 106.804
H3 C1 H5 106.804 H4 C1 H5 108.296
H6 C2 H7 117.810
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.385      
2 C -0.406      
3 H 0.148      
4 H 0.147      
5 H 0.147      
6 H 0.174      
7 H 0.174      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.137 -0.295 0.000 0.326
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.135 0.160 0.000
y 0.160 -14.011 0.000
z 0.000 0.000 -13.188
Traceless
 xyz
x -1.536 0.160 0.000
y 0.160 0.150 0.000
z 0.000 0.000 1.385
Polar
3z2-r22.771
x2-y2-1.124
xy0.160
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.358 -0.058 0.000
y -0.058 3.696 0.000
z 0.000 0.000 2.853


<r2> (average value of r2) Å2
<r2> 25.956
(<r2>)1/2 5.095