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

using model chemistry: B3LYP/6-311G*

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/6-311G*
 hartrees
Energy at 0K-79.176152
Energy at 298.15K-79.179941
HF Energy-79.176152
Nuclear repulsion energy36.925763
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/6-311G*
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' 3140 3035 19.88      
2 A' 3039 2936 31.38      
3 A' 2947 2848 35.22      
4 A' 1499 1449 5.68      
5 A' 1478 1428 1.65      
6 A' 1417 1369 2.63      
7 A' 1066 1030 0.05      
8 A' 989 956 0.65      
9 A' 462 446 61.94      
10 A" 3238 3129 24.48      
11 A" 3081 2977 29.33      
12 A" 1503 1452 6.14      
13 A" 1201 1161 2.61      
14 A" 818 791 2.44      
15 A" 106 102 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 12991.7 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 12553.8 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/6-311G*
ABC
3.46655 0.75739 0.70221

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.693 0.000
C2 -0.010 0.794 0.000
H3 1.011 -1.108 0.000
H4 -0.507 -1.103 0.885
H5 -0.507 -1.103 -0.885
H6 0.062 1.353 -0.926
H7 0.062 1.353 0.926

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48731.10271.09441.09442.24682.2468
C21.48732.15942.15132.15131.08351.0835
H31.10272.15941.75731.75732.79542.7954
H41.09442.15131.75731.77043.10352.5209
H51.09442.15131.75731.77042.52093.1035
H62.24681.08352.79543.10352.52091.8511
H72.24681.08352.79542.52093.10351.8511

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 121.037 C1 C2 H7 121.037
C2 C1 H3 112.118 C2 C1 H4 111.972
C2 C1 H5 111.972 H3 C1 H4 106.227
H3 C1 H5 106.227 H4 C1 H5 107.958
H6 C2 H7 117.344
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.627      
2 C -0.425      
3 H 0.214      
4 H 0.213      
5 H 0.213      
6 H 0.206      
7 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.129 -0.234 0.000 0.267
CHELPG        
AIM        
ESP 0.098 -0.236 0.000 0.255


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.369 0.176 0.000
y 0.176 -14.406 0.000
z 0.000 0.000 -13.679
Traceless
 xyz
x -1.326 0.176 0.000
y 0.176 0.117 0.000
z 0.000 0.000 1.209
Polar
3z2-r22.418
x2-y2-0.962
xy0.176
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.763 -0.032 0.000
y -0.032 3.985 0.000
z 0.000 0.000 3.385


<r2> (average value of r2) Å2
<r2> 27.860
(<r2>)1/2 5.278