return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: B3LYP/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 B3LYP/3-21G*
 hartrees
Energy at 0K-310.842387
Energy at 298.15K 
HF Energy-310.842387
Nuclear repulsion energy68.533129
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 B3LYP/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 1133 1090 2.17 11.43 0.01 0.01
2 A1 470 452 32.75 10.00 0.11 0.20
3 B2 393 378 0.60 10.62 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 997.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 960.0 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 B3LYP/3-21G*
ABC
1.02584 0.33272 0.25123

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.153
O2 0.000 0.717 -0.793
O3 0.000 -0.717 -0.793

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.07402.0740
O22.07401.4334
O32.07401.4334

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 69.783 Na1 O3 O2 69.783
O2 Na1 O3 40.434
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.505      
2 O -0.252      
3 O -0.252      


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 7.098 7.098
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.678 0.000 0.000
y 0.000 -18.626 0.000
z 0.000 0.000 -11.563
Traceless
 xyz
x -0.584 0.000 0.000
y 0.000 -5.006 0.000
z 0.000 0.000 5.590
Polar
3z2-r211.179
x2-y22.948
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.555 0.000 0.000
y 0.000 3.387 0.000
z 0.000 0.000 2.323


<r2> (average value of r2) Å2
<r2> 42.458
(<r2>)1/2 6.516