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 Na2O2 (disodium dioxide)

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1AG
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-472.118757
Energy at 298.15K 
HF Energy-472.118757
Nuclear repulsion energy130.535430
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 mPW1PW91/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 822 781 0.00 32.27 0.01 0.01
2 Ag 389 369 0.00 34.06 0.17 0.28
3 B1u 604 574 112.98 0.00 0.00 0.00
4 B2u 292 277 77.39 0.00 0.00 0.00
5 B3g 537 510 0.00 1.11 0.75 0.86
6 B3u 48 45 103.12 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 1345.9 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 1278.1 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 mPW1PW91/3-21G*
ABC
0.80197 0.10739 0.09471

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.848
Na2 0.000 0.000 -1.848
O3 0.000 0.811 0.000
O4 0.000 -0.811 0.000

Atom - Atom Distances (Å)
  Na1 Na2 O3 O4
Na13.69542.01772.0177
Na23.69542.01772.0177
O32.01772.01771.6212
O42.01772.01771.6212

picture of disodium dioxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na1 O3 Na2 132.624 Na1 O4 Na2 132.624
O3 Na1 O4 47.376 O3 Na2 O4 47.376
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.439      
2 Na 0.439      
3 O -0.439      
4 O -0.439      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.731 0.000 0.000
y 0.000 -27.307 0.000
z 0.000 0.000 6.039
Traceless
 xyz
x -12.097 0.000 0.000
y 0.000 -18.961 0.000
z 0.000 0.000 31.058
Polar
3z2-r262.116
x2-y24.576
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.332 0.000 0.000
y 0.000 4.625 0.000
z 0.000 0.000 6.994


<r2> (average value of r2) Å2
<r2> 94.782
(<r2>)1/2 9.736