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

using model chemistry: LSDA/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-78.705152
Energy at 298.15K-78.708929
HF Energy-78.705152
Nuclear repulsion energy36.969394
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 LSDA/6-31+G**
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' 3098 3052 12.23      
2 A' 2993 2948 13.96      
3 A' 2882 2839 17.07      
4 A' 1426 1404 2.22      
5 A' 1397 1376 7.46      
6 A' 1323 1304 9.54      
7 A' 1102 1086 0.60      
8 A' 922 908 1.61      
9 A' 510 503 89.61      
10 A" 3202 3154 7.28      
11 A" 3052 3006 10.53      
12 A" 1408 1386 10.20      
13 A" 1135 1118 3.22      
14 A" 786 774 5.91      
15 A" 100 99 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 12668.8 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 12478.7 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 LSDA/6-31+G**
ABC
3.40893 0.77009 0.71125

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.683 0.000
C2 -0.010 0.784 0.000
H3 1.023 -1.104 0.000
H4 -0.502 -1.103 0.895
H5 -0.502 -1.103 -0.895
H6 0.048 1.350 -0.935
H7 0.048 1.350 0.935

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.46741.11481.10461.10462.23842.2384
C21.46742.15252.14602.14601.09431.0943
H31.11482.15251.76781.76782.80162.8016
H41.10462.14601.76781.79063.10952.5140
H51.10462.14601.76781.79062.51403.1095
H62.23841.09432.80163.10952.51401.8702
H72.23841.09432.80162.51403.10951.8702

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 121.121 C1 C2 H7 121.121
C2 C1 H3 112.218 C2 C1 H4 112.340
C2 C1 H5 112.340 H3 C1 H4 105.593
H3 C1 H5 105.593 H4 C1 H5 108.295
H6 C2 H7 117.402
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.654      
2 C -0.282      
3 H 0.201      
4 H 0.195      
5 H 0.195      
6 H 0.172      
7 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.160 -0.455 0.000 0.482
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.854 0.153 0.000
y 0.153 -14.554 0.000
z 0.000 0.000 -13.745
Traceless
 xyz
x -1.704 0.153 0.000
y 0.153 0.246 0.000
z 0.000 0.000 1.459
Polar
3z2-r22.918
x2-y2-1.300
xy0.153
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.572 -0.110 0.000
y -0.110 4.531 0.000
z 0.000 0.000 3.545


<r2> (average value of r2) Å2
<r2> 27.887
(<r2>)1/2 5.281