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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-79.147078
Energy at 298.15K-79.150879
HF Energy-79.147078
Nuclear repulsion energy36.962725
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 mPW1PW91/6-31+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' 3189 3036 15.52      
2 A' 3091 2942 21.96      
3 A' 3003 2859 26.01      
4 A' 1494 1422 3.81      
5 A' 1475 1404 4.18      
6 A' 1406 1339 2.90      
7 A' 1088 1035 0.10      
8 A' 981 934 0.76      
9 A' 484 461 75.81      
10 A" 3295 3136 13.31      
11 A" 3140 2989 19.50      
12 A" 1490 1419 7.12      
13 A" 1195 1138 2.31      
14 A" 816 777 3.20      
15 A" 103 98 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 13125.4 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 12492.7 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 mPW1PW91/6-31+G**
ABC
3.46024 0.76016 0.70444

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.693 0.000
C2 -0.010 0.793 0.000
H3 1.013 -1.103 0.000
H4 -0.507 -1.099 0.886
H5 -0.507 -1.099 -0.886
H6 0.058 1.350 -0.927
H7 0.058 1.350 0.927

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48521.10141.09411.09412.24412.2441
C21.48522.15352.14702.14701.08371.0837
H31.10142.15351.75891.75892.79062.7906
H41.09412.14701.75891.77153.09872.5136
H51.09412.14701.75891.77152.51363.0987
H62.24411.08372.79063.09872.51361.8537
H72.24411.08372.79062.51363.09871.8537

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 120.958 C1 C2 H7 120.958
C2 C1 H3 111.870 C2 C1 H4 111.797
C2 C1 H5 111.797 H3 C1 H4 106.475
H3 C1 H5 106.475 H4 C1 H5 108.111
H6 C2 H7 117.582
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.610      
2 C -0.232      
3 H 0.179      
4 H 0.175      
5 H 0.175      
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
  0.144 -0.302 0.000 0.335
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.449 0.188 0.000
y 0.188 -14.353 0.000
z 0.000 0.000 -13.576
Traceless
 xyz
x -1.484 0.188 0.000
y 0.188 0.160 0.000
z 0.000 0.000 1.325
Polar
3z2-r22.649
x2-y2-1.096
xy0.188
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.251 -0.064 0.000
y -0.064 4.076 0.000
z 0.000 0.000 3.386


<r2> (average value of r2) Å2
<r2> 27.790
(<r2>)1/2 5.272