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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31+G**
 hartrees
Energy at 0K-79.043213
Energy at 298.15K-79.046980
HF Energy-79.043213
Nuclear repulsion energy36.734313
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 PBEPBEultrafine/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 3062 16.73      
2 A' 2993 2959 21.48      
3 A' 2896 2863 26.07      
4 A' 1440 1423 3.26      
5 A' 1421 1405 4.36      
6 A' 1350 1335 3.05      
7 A' 1061 1049 0.31      
8 A' 942 931 1.16      
9 A' 484 479 76.80      
10 A" 3199 3163 13.99      
11 A" 3044 3010 18.60      
12 A" 1436 1419 7.43      
13 A" 1151 1138 2.42      
14 A" 790 781 3.74      
15 A" 103 102 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12704.4 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 12559.6 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 PBEPBEultrafine/6-31+G**
ABC
3.40621 0.75329 0.69742

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.694 0.000
C2 -0.010 0.795 0.000
H3 1.021 -1.112 0.000
H4 -0.508 -1.107 0.894
H5 -0.508 -1.107 -0.894
H6 0.055 1.359 -0.934
H7 0.055 1.359 0.934

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48941.11261.10381.10382.25652.2565
C21.48942.16842.16062.16061.09311.0931
H31.11262.16841.77141.77142.81312.8131
H41.10382.16061.77141.78813.12142.5301
H51.10382.16061.77141.78812.53013.1214
H62.25651.09312.81313.12142.53011.8688
H72.25651.09312.81312.53013.12141.8688

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 121.036 C1 C2 H7 121.036
C2 C1 H3 112.080 C2 C1 H4 111.998
C2 C1 H5 111.998 H3 C1 H4 106.105
H3 C1 H5 106.105 H4 C1 H5 108.183
H6 C2 H7 117.474
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.617      
2 C -0.233      
3 H 0.182      
4 H 0.177      
5 H 0.177      
6 H 0.157      
7 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.149 -0.369 0.000 0.398
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.754 0.176 0.000
y 0.176 -14.604 0.000
z 0.000 0.000 -13.794
Traceless
 xyz
x -1.555 0.176 0.000
y 0.176 0.170 0.000
z 0.000 0.000 1.385
Polar
3z2-r22.770
x2-y2-1.150
xy0.176
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.516 -0.089 0.000
y -0.089 4.433 0.000
z 0.000 0.000 3.521


<r2> (average value of r2) Å2
<r2> 28.172
(<r2>)1/2 5.308