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

using model chemistry: M06-2X/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 M06-2X/6-31+G**
 hartrees
Energy at 0K-79.110397
Energy at 298.15K-79.114204
HF Energy-79.110397
Nuclear repulsion energy36.929328
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 M06-2X/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' 3183 3031 13.19      
2 A' 3087 2939 19.49      
3 A' 3007 2863 23.87      
4 A' 1494 1423 3.02      
5 A' 1476 1406 4.58      
6 A' 1407 1340 1.74      
7 A' 1088 1036 0.06      
8 A' 984 937 0.91      
9 A' 439 418 68.85      
10 A" 3288 3131 12.53      
11 A" 3134 2984 18.00      
12 A" 1492 1421 6.32      
13 A" 1192 1135 2.02      
14 A" 805 767 2.53      
15 A" 130 124 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 13103.0 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 12476.7 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 M06-2X/6-31+G**
ABC
3.45338 0.75793 0.70280

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.012 -0.694 0.000
C2 -0.012 0.795 0.000
H3 1.010 -1.105 0.000
H4 -0.512 -1.097 0.886
H5 -0.512 -1.097 -0.886
H6 0.079 1.348 -0.927
H7 0.079 1.348 0.927

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48901.10131.09411.09412.24452.2445
C21.48902.15712.14802.14801.08301.0830
H31.10132.15711.76071.76072.78252.7825
H41.09412.14801.76071.77213.10052.5157
H51.09412.14801.76071.77212.51573.1005
H62.24451.08302.78253.10052.51571.8531
H72.24451.08302.78252.51573.10051.8531

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 120.721 C1 C2 H7 120.721
C2 C1 H3 111.896 C2 C1 H4 111.602
C2 C1 H5 111.602 H3 C1 H4 106.647
H3 C1 H5 106.647 H4 C1 H5 108.164
H6 C2 H7 117.642
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.545      
2 C -0.261      
3 H 0.168      
4 H 0.165      
5 H 0.165      
6 H 0.154      
7 H 0.154      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.170 -0.275 0.000 0.323
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.601 0.250 0.000
y 0.250 -14.521 0.000
z 0.000 0.000 -13.736
Traceless
 xyz
x -1.472 0.250 0.000
y 0.250 0.147 0.000
z 0.000 0.000 1.325
Polar
3z2-r22.650
x2-y2-1.080
xy0.250
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.290 -0.055 0.000
y -0.055 4.057 0.000
z 0.000 0.000 3.435


<r2> (average value of r2) Å2
<r2> 27.920
(<r2>)1/2 5.284