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

using model chemistry: B3LYP/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at B3LYP/6-311G**
 hartrees
Energy at 0K-312.701106
Energy at 298.15K 
HF Energy-312.701106
Nuclear repulsion energy68.629135
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 B3LYP/6-311G**
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 1159 1120 1.50 12.94 0.34 0.51
2 A1 435 421 42.02 16.78 0.12 0.22
3 B2 358 346 0.79 20.43 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 976.1 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 943.7 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 B3LYP/6-311G**
ABC
1.15408 0.30641 0.24213

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.202
O2 0.000 0.676 -0.826
O3 0.000 -0.676 -0.826

Atom - Atom Distances (Å)
  Na1 O2 O3
Na12.13762.1376
O22.13761.3515
O32.13761.3515

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 71.572 Na1 O3 O2 71.572
O2 Na1 O3 36.856
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.677      
2 O -0.338      
3 O -0.338      


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 7.880 7.880
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.331 0.000 0.000
y 0.000 -18.504 0.000
z 0.000 0.000 -11.277
Traceless
 xyz
x -0.440 0.000 0.000
y 0.000 -5.200 0.000
z 0.000 0.000 5.640
Polar
3z2-r211.281
x2-y23.174
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.442 0.000 0.000
y 0.000 3.567 0.000
z 0.000 0.000 2.639


<r2> (average value of r2) Å2
<r2> 43.508
(<r2>)1/2 6.596