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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 2A'
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-78.706477
Energy at 298.15K-78.710284
HF Energy-78.706477
Nuclear repulsion energy36.862495
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 mPW1PW91/3-21G
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' 3185 3040 13.18      
2 A' 3090 2950 19.65      
3 A' 3002 2866 20.28      
4 A' 1550 1479 8.68      
5 A' 1505 1437 0.25      
6 A' 1462 1396 8.32      
7 A' 1059 1011 0.29      
8 A' 1023 977 2.54      
9 A' 462 441 71.43      
10 A" 3292 3142 14.62      
11 A" 3135 2992 15.60      
12 A" 1557 1486 7.40      
13 A" 1231 1175 4.59      
14 A" 848 809 5.96      
15 A" 101 97 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 13250.5 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 12648.9 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 mPW1PW91/3-21G
ABC
3.43773 0.75497 0.69990

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.697 0.000
C2 -0.010 0.797 0.000
H3 1.016 -1.104 0.000
H4 -0.511 -1.098 0.888
H5 -0.511 -1.098 -0.888
H6 0.062 1.349 -0.929
H7 0.062 1.349 0.929

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.49351.10321.09561.09562.24792.2479
C21.49352.15942.15132.15131.08331.0833
H31.10322.15941.76591.76592.79082.7908
H41.09562.15131.76591.77623.10092.5129
H51.09562.15131.76591.77622.51293.1009
H62.24791.08332.79083.10092.51291.8585
H72.24791.08332.79082.51293.10091.8585

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 120.645 C1 C2 H7 120.645
C2 C1 H3 111.646 C2 C1 H4 111.463
C2 C1 H5 111.463 H3 C1 H4 106.856
H3 C1 H5 106.856 H4 C1 H5 108.315
H6 C2 H7 118.141
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.692      
2 C -0.398      
3 H 0.228      
4 H 0.226      
5 H 0.226      
6 H 0.205      
7 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.138 -0.215 0.000 0.255
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.061 0.176 0.000
y 0.176 -13.771 0.000
z 0.000 0.000 -13.365
Traceless
 xyz
x -1.493 0.176 0.000
y 0.176 0.441 0.000
z 0.000 0.000 1.051
Polar
3z2-r22.103
x2-y2-1.289
xy0.176
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.123 -0.016 0.000
y -0.016 3.410 0.000
z 0.000 0.000 3.003


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