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

using model chemistry: PBEPBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-78.075720
Energy at 298.15K-78.079440
HF Energy-78.075720
Nuclear repulsion energy36.399286
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 PBEPBE/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3337 3049 1.93      
2 A' 3328 3040 1.18      
3 A' 3195 2919 1.68      
4 A' 1630 1489 4.36      
5 A' 1565 1430 4.27      
6 A' 1527 1395 0.52      
7 A' 1122 1025 0.29      
8 A' 1057 966 1.90      
9 A' 415 379 23.85      
10 A" 3494 3192 1.55      
11 A" 3397 3104 0.91      
12 A" 1640 1498 3.65      
13 A" 1265 1156 5.13      
14 A" 851 777 2.81      
15 A" 154 141 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 13988.3 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 12779.7 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 PBEPBE/STO-3G
ABC
3.33896 0.73657 0.68365

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.019 -0.705 0.000
C2 -0.019 0.808 0.000
H3 1.015 -1.123 0.000
H4 -0.529 -1.106 0.898
H5 -0.529 -1.106 -0.898
H6 0.137 1.358 -0.941
H7 0.137 1.358 0.941

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.51301.11491.10791.10792.27302.2730
C21.51302.18992.17502.17501.10111.1011
H31.11492.18991.78591.78592.79462.7946
H41.10792.17501.78591.79613.14622.5531
H51.10792.17501.78591.79612.55313.1462
H62.27301.10112.79463.14622.55311.8819
H72.27301.10112.79462.55313.14621.8819

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 119.980 C1 C2 H7 119.980
C2 C1 H3 111.994 C2 C1 H4 111.229
C2 C1 H5 111.229 H3 C1 H4 106.923
H3 C1 H5 106.923 H4 C1 H5 108.315
H6 C2 H7 117.420
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.245      
2 C -0.137      
3 H 0.083      
4 H 0.083      
5 H 0.083      
6 H 0.066      
7 H 0.066      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.156 -0.188 0.000 0.244
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -13.493 0.183 0.000
y 0.183 -12.994 0.000
z 0.000 0.000 -12.664
Traceless
 xyz
x -0.664 0.183 0.000
y 0.183 0.084 0.000
z 0.000 0.000 0.580
Polar
3z2-r21.160
x2-y2-0.498
xy0.183
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.104 0.018 0.000
y 0.018 1.867 0.000
z 0.000 0.000 1.632


<r2> (average value of r2) Å2
<r2> 27.462
(<r2>)1/2 5.240