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

using model chemistry: PBEPBEultrafine/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-312.454018
Energy at 298.15K 
HF Energy-312.454018
Nuclear repulsion energy67.948188
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/cc-pVTZ
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 1094 1086 4.93 596.76 0.20 0.33
2 A1 410 407 36.36 106.49 0.14 0.25
3 B2 346 344 0.72 157.68 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 924.9 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 918.6 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/cc-pVTZ
ABC
1.13057 0.30051 0.23741

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.214
O2 0.000 0.683 -0.834
O3 0.000 -0.683 -0.834

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.15872.1587
O22.15871.3654
O32.15871.3654

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 71.562 Na1 O3 O2 71.562
O2 Na1 O3 36.875
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.532      
2 O -0.266      
3 O -0.266      


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 7.758 7.758
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.696 0.000 0.000
y 0.000 -18.767 0.000
z 0.000 0.000 -11.167
Traceless
 xyz
x -0.728 0.000 0.000
y 0.000 -5.336 0.000
z 0.000 0.000 6.064
Polar
3z2-r212.128
x2-y23.071
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.260 0.000 0.000
y 0.000 5.175 0.000
z 0.000 0.000 3.690


<r2> (average value of r2) Å2
<r2> 44.294
(<r2>)1/2 6.655