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

using model chemistry: PBEPBEultrafine/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-312.390813
Energy at 298.15K 
HF Energy-312.390813
Nuclear repulsion energy68.616173
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(2df,p)
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 1114 1103 2.52 586.97 0.25 0.39
2 A1 433 429 35.88 125.00 0.17 0.29
3 B2 369 365 1.11 158.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 958.1 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 948.3 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(2df,p)
ABC
1.13662 0.30973 0.24340

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.195
O2 0.000 0.681 -0.822
O3 0.000 -0.681 -0.822

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.12902.1290
O22.12901.3618
O32.12901.3618

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 71.347 Na1 O3 O2 71.347
O2 Na1 O3 37.305
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.557      
2 O -0.278      
3 O -0.278      


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 7.276 7.276
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.554 0.000 0.000
y 0.000 -18.412 0.000
z 0.000 0.000 -10.857
Traceless
 xyz
x -0.920 0.000 0.000
y 0.000 -5.207 0.000
z 0.000 0.000 6.127
Polar
3z2-r212.253
x2-y22.858
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.281 0.000 0.000
y 0.000 4.958 0.000
z 0.000 0.000 3.379


<r2> (average value of r2) Å2
<r2> 43.273
(<r2>)1/2 6.578