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

using model chemistry: PBE1PBE/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-310.572947
Energy at 298.15K 
HF Energy-310.572947
Nuclear repulsion energy68.785417
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 PBE1PBE/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 A1 1178 1131 1.82 14.43 0.02 0.05
2 A1 472 453 35.29 7.37 0.13 0.23
3 B2 395 379 0.68 7.96 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 1022.8 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 981.7 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 PBE1PBE/3-21G*
ABC
1.04674 0.33204 0.25208

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.154
O2 0.000 0.710 -0.794
O3 0.000 -0.710 -0.794

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.07342.0734
O22.07341.4191
O32.07341.4191

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 69.988 Na1 O3 O2 69.988
O2 Na1 O3 40.023
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.543      
2 O -0.271      
3 O -0.271      


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 7.286 7.286
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.507 0.000 0.000
y 0.000 -18.509 0.000
z 0.000 0.000 -11.444
Traceless
 xyz
x -0.530 0.000 0.000
y 0.000 -5.033 0.000
z 0.000 0.000 5.564
Polar
3z2-r211.127
x2-y23.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.437 0.000 0.000
y 0.000 3.253 0.000
z 0.000 0.000 2.080


<r2> (average value of r2) Å2
<r2> 42.260
(<r2>)1/2 6.501