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

using model chemistry: mPW1PW91/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at mPW1PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-79.165343
Energy at 298.15K-79.169148
HF Energy-79.165343
Nuclear repulsion energy37.085460
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 mPW1PW91/6-311+G(3df,2p)
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' 3165 3165 13.62      
2 A' 3068 3068 19.30      
3 A' 2982 2982 23.47      
4 A' 1484 1484 3.39      
5 A' 1467 1467 2.99      
6 A' 1398 1398 2.73      
7 A' 1083 1083 0.09      
8 A' 977 977 0.60      
9 A' 489 489 57.33      
10 A" 3267 3267 11.93      
11 A" 3114 3114 17.25      
12 A" 1482 1482 6.51      
13 A" 1192 1192 2.30      
14 A" 811 811 2.09      
15 A" 101 101 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 13039.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13039.4 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 mPW1PW91/6-311+G(3df,2p)
ABC
3.48252 0.76559 0.70934

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.009 -0.690 0.000
C2 -0.009 0.790 0.000
H3 1.010 -1.099 0.000
H4 -0.504 -1.096 0.883
H5 -0.504 -1.096 -0.883
H6 0.055 1.346 -0.924
H7 0.055 1.346 0.924

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.47941.09871.09091.09092.23672.2367
C21.47942.14602.14042.14041.08051.0805
H31.09872.14601.75301.75302.78242.7824
H41.09092.14041.75301.76693.08942.5060
H51.09092.14041.75301.76692.50603.0894
H62.23671.08052.78243.08942.50601.8476
H72.23671.08052.78242.50603.08941.8476

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 121.006 C1 C2 H7 121.006
C2 C1 H3 111.839 C2 C1 H4 111.878
C2 C1 H5 111.878 H3 C1 H4 106.378
H3 C1 H5 106.378 H4 C1 H5 108.160
H6 C2 H7 117.519
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.254      
2 C -0.376      
3 H 0.131      
4 H 0.123      
5 H 0.123      
6 H 0.126      
7 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.122 -0.295 0.000 0.319
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.325 0.164 0.000
y 0.164 -14.332 0.000
z 0.000 0.000 -13.596
Traceless
 xyz
x -1.361 0.164 0.000
y 0.164 0.129 0.000
z 0.000 0.000 1.232
Polar
3z2-r22.465
x2-y2-0.993
xy0.164
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.771 -0.056 0.000
y -0.056 4.547 0.000
z 0.000 0.000 3.797


<r2> (average value of r2) Å2
<r2> 27.639
(<r2>)1/2 5.257