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: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-79.033899
Energy at 298.15K-79.037668
HF Energy-79.033899
Nuclear repulsion energy36.641262
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 PBEPBEultrafine/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3079 3062 14.00      
2 A' 2985 2968 21.23      
3 A' 2880 2864 26.58      
4 A' 1408 1400 1.69      
5 A' 1387 1379 3.34      
6 A' 1322 1314 1.47      
7 A' 1070 1064 0.28      
8 A' 928 922 0.87      
9 A' 463 460 44.14      
10 A" 3187 3168 12.82      
11 A" 3040 3022 16.36      
12 A" 1400 1392 4.40      
13 A" 1137 1131 2.79      
14 A" 779 774 3.17      
15 A" 118 117 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12591.1 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 12518.0 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 PBEPBEultrafine/cc-pVDZ
ABC
3.36608 0.75311 0.69652

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.012 -0.692 0.000
C2 -0.012 0.795 0.000
H3 1.026 -1.114 0.000
H4 -0.510 -1.112 0.899
H5 -0.510 -1.112 -0.899
H6 0.069 1.360 -0.941
H7 0.069 1.360 0.941

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48691.12011.11041.11042.25882.2588
C21.48692.17282.16642.16641.10031.1003
H31.12012.17281.77931.77932.81472.8147
H41.11042.16641.77931.79843.13552.5393
H51.11042.16641.77931.79842.53933.1355
H62.25881.10032.81473.13552.53931.8813
H72.25881.10032.81472.53933.13551.8813

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 120.903 C1 C2 H7 120.903
C2 C1 H3 112.147 C2 C1 H4 112.233
C2 C1 H5 112.233 H3 C1 H4 105.824
H3 C1 H5 105.824 H4 C1 H5 108.153
H6 C2 H7 117.498
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.081      
2 C -0.134      
3 H 0.050      
4 H 0.044      
5 H 0.044      
6 H 0.038      
7 H 0.038      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.130 -0.302 0.000 0.329
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.079 0.149 0.000
y 0.149 -14.202 0.000
z 0.000 0.000 -13.583
Traceless
 xyz
x -1.186 0.149 0.000
y 0.149 0.129 0.000
z 0.000 0.000 1.057
Polar
3z2-r22.114
x2-y2-0.877
xy0.149
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.690 -0.028 0.000
y -0.028 4.176 0.000
z 0.000 0.000 3.478


<r2> (average value of r2) Å2
<r2> 27.972
(<r2>)1/2 5.289