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

using model chemistry: B3LYP/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 B3LYP/3-21G*
 hartrees
Energy at 0K-78.728107
Energy at 298.15K-78.731907
HF Energy-78.728107
Nuclear repulsion energy36.793665
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/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' 3160 3040 14.02      
2 A' 3058 2942 22.34      
3 A' 2965 2853 24.36      
4 A' 1547 1488 6.71      
5 A' 1505 1448 0.23      
6 A' 1461 1405 5.05      
7 A' 1040 1001 0.41      
8 A' 1019 980 1.65      
9 A' 462 445 65.65      
10 A" 3263 3139 17.71      
11 A" 3099 2981 19.29      
12 A" 1555 1496 5.79      
13 A" 1229 1182 4.09      
14 A" 844 812 4.51      
15 A" 103 99 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 13154.7 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 12654.8 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/3-21G*
ABC
3.43371 0.75106 0.69647

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.699 0.000
C2 -0.010 0.799 0.000
H3 1.016 -1.107 0.000
H4 -0.511 -1.100 0.889
H5 -0.511 -1.100 -0.889
H6 0.062 1.352 -0.929
H7 0.062 1.352 0.929

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.49771.10491.09661.09662.25282.2528
C21.49772.16522.15612.15611.08401.0840
H31.10492.16521.76701.76702.79732.7973
H41.09662.15611.76701.77823.10652.5189
H51.09662.15611.76701.77822.51893.1065
H62.25281.08402.79733.10652.51891.8588
H72.25281.08402.79732.51893.10651.8588

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 120.688 C1 C2 H7 120.688
C2 C1 H3 111.718 C2 C1 H4 111.492
C2 C1 H5 111.492 H3 C1 H4 106.771
H3 C1 H5 106.771 H4 C1 H5 108.345
H6 C2 H7 118.049
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.610      
2 C -0.353      
3 H 0.202      
4 H 0.200      
5 H 0.200      
6 H 0.180      
7 H 0.180      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.134 -0.218 0.000 0.256
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.063 0.168 0.000
y 0.168 -13.879 0.000
z 0.000 0.000 -13.475
Traceless
 xyz
x -1.386 0.168 0.000
y 0.168 0.390 0.000
z 0.000 0.000 0.996
Polar
3z2-r21.993
x2-y2-1.184
xy0.168
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.125 -0.018 0.000
y -0.018 3.443 0.000
z 0.000 0.000 3.018


<r2> (average value of r2) Å2
<r2> 27.767
(<r2>)1/2 5.269