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All results from a given calculation for NaO2 (Sodium superoxide)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-312.340875
Energy at 298.15K 
HF Energy-312.340875
Nuclear repulsion energy66.572486
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/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 970 957 0.27 307.07 0.35 0.51
2 A1 414 409 26.11 137.67 0.17 0.29
3 B2 341 336 0.03 128.74 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 862.4 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 850.5 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/6-31G
ABC
1.01596 0.30298 0.23338

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.209
O2 0.000 0.720 -0.831
O3 0.000 -0.720 -0.831

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.16292.1629
O22.16291.4404
O32.16291.4404

picture of Sodium superoxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na1 O2 O3 70.550 Na1 O3 O2 70.550
O2 Na1 O3 38.899
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.677      
2 O -0.338      
3 O -0.338      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 7.870 7.870
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.592 0.000 0.000
y 0.000 -18.834 0.000
z 0.000 0.000 -11.979
Traceless
 xyz
x -0.186 0.000 0.000
y 0.000 -5.048 0.000
z 0.000 0.000 5.234
Polar
3z2-r210.468
x2-y23.242
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.325 0.000 0.000
y 0.000 4.498 0.000
z 0.000 0.000 3.410


<r2> (average value of r2) Å2
<r2> 45.074
(<r2>)1/2 6.714