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

using model chemistry: HSEh1PBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-79.086560
Energy at 298.15K-79.090365
HF Energy-79.086560
Nuclear repulsion energy37.071187
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 HSEh1PBE/6-311+G(3df,2p)
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' 3160 3160 13.55      
2 A' 3063 3063 19.04      
3 A' 2975 2975 23.31      
4 A' 1478 1478 3.14      
5 A' 1461 1461 3.29      
6 A' 1392 1392 2.94      
7 A' 1085 1085 0.10      
8 A' 974 974 0.60      
9 A' 492 492 57.63      
10 A" 3262 3262 11.60      
11 A" 3109 3109 16.90      
12 A" 1476 1476 6.60      
13 A" 1189 1189 2.32      
14 A" 809 809 2.15      
15 A" 101 101 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 13012.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13012.2 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 HSEh1PBE/6-311+G(3df,2p)
ABC
3.47640 0.76561 0.70923

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.009 -0.689 0.000
C2 -0.009 0.789 0.000
H3 1.011 -1.099 0.000
H4 -0.504 -1.097 0.884
H5 -0.504 -1.097 -0.884
H6 0.055 1.347 -0.925
H7 0.055 1.347 0.925

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.47891.10001.09201.09202.23722.2372
C21.47892.14672.14122.14121.08151.0815
H31.10002.14671.75441.75442.78422.7842
H41.09202.14121.75441.76873.09132.5070
H51.09202.14121.75441.76872.50703.0913
H62.23721.08152.78423.09132.50701.8493
H72.23721.08152.78422.50703.09131.8493

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 121.017 C1 C2 H7 121.017
C2 C1 H3 111.858 C2 C1 H4 111.910
C2 C1 H5 111.910 H3 C1 H4 106.333
H3 C1 H5 106.333 H4 C1 H5 108.159
H6 C2 H7 117.511
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.264      
2 C -0.394      
3 H 0.136      
4 H 0.129      
5 H 0.129      
6 H 0.132      
7 H 0.132      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.122 -0.299 0.000 0.322
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.377 0.163 0.000
y 0.163 -14.381 0.000
z 0.000 0.000 -13.634
Traceless
 xyz
x -1.369 0.163 0.000
y 0.163 0.124 0.000
z 0.000 0.000 1.245
Polar
3z2-r22.490
x2-y2-0.996
xy0.163
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.791 -0.059 0.000
y -0.059 4.575 0.000
z 0.000 0.000 3.813


<r2> (average value of r2) Å2
<r2> 27.678
(<r2>)1/2 5.261