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

using model chemistry: mPW1PW91/TZVP

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/TZVP
 hartrees
Energy at 0K-79.166308
Energy at 298.15K-79.170120
HF Energy-79.166308
Nuclear repulsion energy37.055099
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/TZVP
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' 3172 3026 15.13      
2 A' 3076 2934 21.81      
3 A' 2988 2850 24.99      
4 A' 1488 1419 4.27      
5 A' 1471 1403 3.65      
6 A' 1404 1339 3.21      
7 A' 1083 1033 0.09      
8 A' 983 938 0.56      
9 A' 488 465 67.35      
10 A" 3275 3124 13.13      
11 A" 3122 2979 19.25      
12 A" 1486 1418 6.49      
13 A" 1195 1140 2.33      
14 A" 817 779 2.84      
15 A" 103 98 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 13074.4 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 12473.0 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/TZVP
ABC
3.47399 0.76460 0.70842

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.010 -0.690 0.000
C2 -0.010 0.790 0.000
H3 1.011 -1.100 0.000
H4 -0.505 -1.097 0.884
H5 -0.505 -1.097 -0.884
H6 0.057 1.347 -0.925
H7 0.057 1.347 0.925

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7
C11.48031.09981.09211.09212.23802.2380
C21.48032.14792.14182.14181.08161.0816
H31.09982.14791.75531.75532.78412.7841
H41.09212.14181.75531.76843.09172.5074
H51.09212.14181.75531.76842.50743.0917
H62.23801.08162.78413.09172.50741.8500
H72.23801.08162.78412.50743.09171.8500

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 120.967 C1 C2 H7 120.967
C2 C1 H3 111.865 C2 C1 H4 111.847
C2 C1 H5 111.847 H3 C1 H4 106.417
H3 C1 H5 106.417 H4 C1 H5 108.123
H6 C2 H7 117.574
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.332      
2 C -0.286      
3 H 0.126      
4 H 0.121      
5 H 0.121      
6 H 0.125      
7 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.139 -0.280 0.000 0.312
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.275 0.181 0.000
y 0.181 -14.302 0.000
z 0.000 0.000 -13.530
Traceless
 xyz
x -1.359 0.181 0.000
y 0.181 0.100 0.000
z 0.000 0.000 1.259
Polar
3z2-r22.518
x2-y2-0.973
xy0.181
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.152 -0.062 0.000
y -0.062 4.139 0.000
z 0.000 0.000 3.526


<r2> (average value of r2) Å2
<r2> 27.636
(<r2>)1/2 5.257