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All results from a given calculation for Na2O (disodium monoxide)

using model chemistry: PBE1PBE/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-397.083681
Energy at 298.15K-397.084737
HF Energy-397.083681
Nuclear repulsion energy64.941810
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 PBE1PBE/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 Σg 404 387 0.00      
2 Σu 750 720 94.67      
3 Πu 36 34 72.94      
3 Πu 36 34 72.94      

Unscaled Zero Point Vibrational Energy (zpe) 612.4 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 587.8 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 PBE1PBE/3-21G*
B
0.09872

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.000
Na2 0.000 0.000 1.927
Na3 0.000 0.000 -1.927

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.92711.9271
Na21.92713.8542
Na31.92713.8542

picture of disodium monoxide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 O1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.543      
2 Na 0.271      
3 Na 0.271      


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 -20.964 0.000 0.000
y 0.000 -20.964 0.000
z 0.000 0.000 7.230
Traceless
 xyz
x -14.097 0.000 0.000
y 0.000 -14.097 0.000
z 0.000 0.000 28.194
Polar
3z2-r256.389
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.648 0.000 0.000
y 0.000 11.648 0.000
z 0.000 0.000 25.965


<r2> (average value of r2) Å2
<r2> 88.927
(<r2>)1/2 9.430

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-397.083681
Energy at 298.15K-397.085137
HF Energy-397.083681
Nuclear repulsion energy64.942222
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 PBE1PBE/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 A1 404 387 0.00      
2 A1 36 34 72.94      
3 B2 750 720 94.67      

Unscaled Zero Point Vibrational Energy (zpe) 594.5 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 570.6 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 PBE1PBE/3-21G*
B
0.09872

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.000
Na2 0.000 1.927 -0.000
Na3 0.000 -1.927 -0.000

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.92711.9271
Na21.92713.8542
Na31.92713.8542

picture of disodium monoxide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 O1 Na3 179.988
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.543      
2 Na 0.271      
3 Na 0.271      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.964 0.000 0.000
y 0.000 7.230 0.000
z 0.000 0.000 -20.964
Traceless
 xyz
x -14.097 0.000 0.000
y 0.000 28.194 0.000
z 0.000 0.000 -14.097
Polar
3z2-r2-28.194
x2-y2-28.194
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.648 0.000 0.000
y 0.000 25.965 0.000
z 0.000 0.000 11.648


<r2> (average value of r2) Å2
<r2> 88.926
(<r2>)1/2 9.430