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: PBEPBEultrafine/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 PBEPBEultrafine/6-31G**
 hartrees
Energy at 0K-312.375734
Energy at 298.15K 
HF Energy-312.375734
Nuclear repulsion energy68.265479
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 PBEPBEultrafine/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 1111 1096 4.24 4072.87 0.30 0.46
2 A1 423 418 29.85 733.34 0.24 0.39
3 B2 367 362 0.06 875.39 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 950.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 937.6 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 PBEPBEultrafine/6-31G**
ABC
1.12687 0.30620 0.24077

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.202
O2 0.000 0.684 -0.827
O3 0.000 -0.684 -0.827

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.14092.1409
O22.14091.3677
O32.14091.3677

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 71.372 Na1 O3 O2 71.372
O2 Na1 O3 37.256
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.606      
2 O -0.303      
3 O -0.303      


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 7.439 7.439
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.458 0.000 0.000
y 0.000 -18.412 0.000
z 0.000 0.000 -11.146
Traceless
 xyz
x -0.679 0.000 0.000
y 0.000 -5.110 0.000
z 0.000 0.000 5.790
Polar
3z2-r211.579
x2-y22.954
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.691 0.000 0.000
y 0.000 5.701 0.000
z 0.000 0.000 3.530


<r2> (average value of r2) Å2
<r2> 43.683
(<r2>)1/2 6.609