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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-312.444835
Energy at 298.15K 
HF Energy-312.444835
Nuclear repulsion energy67.666745
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/TZVP
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 1076 1064 8.42 1514.52 0.26 0.42
2 A1 399 395 35.19 254.31 0.20 0.33
3 B2 334 330 0.13 414.63 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 904.3 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 894.0 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 PBEPBEultrafine/TZVP
ABC
1.12472 0.29733 0.23516

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.220
O2 0.000 0.684 -0.839
O3 0.000 -0.684 -0.839

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.16962.1696
O22.16961.3690
O32.16961.3690

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 71.609 Na1 O3 O2 71.609
O2 Na1 O3 36.782
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.815      
2 O -0.407      
3 O -0.407      


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 8.253 8.253
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.668 0.000 0.000
y 0.000 -19.129 0.000
z 0.000 0.000 -11.940
Traceless
 xyz
x -0.134 0.000 0.000
y 0.000 -5.325 0.000
z 0.000 0.000 5.459
Polar
3z2-r210.917
x2-y23.460
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.375 0.000 0.000
y 0.000 5.393 0.000
z 0.000 0.000 3.701


<r2> (average value of r2) Å2
<r2> 44.856
(<r2>)1/2 6.697