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: mPW1PW91/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 mPW1PW91/TZVP
 hartrees
Energy at 0K-312.653176
Energy at 298.15K 
HF Energy-312.653176
Nuclear repulsion energy68.722719
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 mPW1PW91/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 1209 1153 3.10 14.89 0.51 0.68
2 A1 413 394 48.26 12.08 0.14 0.24
3 B2 346 330 1.64 15.83 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 983.8 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 938.5 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 mPW1PW91/TZVP
ABC
1.18251 0.30230 0.24075

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.210
O2 0.000 0.668 -0.832
O3 0.000 -0.668 -0.832

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.14812.1481
O22.14811.3351
O32.14811.3351

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 71.895 Na1 O3 O2 71.895
O2 Na1 O3 36.210
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.862      
2 O -0.431      
3 O -0.431      


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 8.553 8.553
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.323 0.000 0.000
y 0.000 -18.665 0.000
z 0.000 0.000 -11.649
Traceless
 xyz
x -0.166 0.000 0.000
y 0.000 -5.179 0.000
z 0.000 0.000 5.345
Polar
3z2-r210.689
x2-y23.342
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.236 0.000 0.000
y 0.000 3.617 0.000
z 0.000 0.000 2.457


<r2> (average value of r2) Å2
<r2> 43.806
(<r2>)1/2 6.619