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

using model chemistry: PBEPBE/3-21G*

19 10 17 12 22

States and conformations

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

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at PBEPBE/3-21G*
 hartrees
Energy at 0K-397.056144
Energy at 298.15K 
HF Energy-397.056144
Nuclear repulsion energy64.302075
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 PBEPBE/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 381 363 0.00      
2 Σu 709 676 50.13      
3 Πu 46i 43i 35.45      
3 Πu 46i 43i 35.45      

Unscaled Zero Point Vibrational Energy (zpe) 499.6 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 476.4 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 PBEPBE/3-21G*
B
0.09679

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 1.946
Na3 0.000 0.000 -1.946

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.94631.9463
Na21.94633.8926
Na31.94633.8926

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 PBEPBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.456      
2 Na 0.228      
3 Na 0.228      


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 -22.147 0.000 0.000
y 0.000 -22.147 0.000
z 0.000 0.000 4.334
Traceless
 xyz
x -13.241 0.000 0.000
y 0.000 -13.241 0.000
z 0.000 0.000 26.482
Polar
3z2-r252.964
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 16.560 0.000 0.000
y 0.000 16.560 0.000
z 0.000 0.000 36.478


<r2> (average value of r2) Å2
<r2> 91.656
(<r2>)1/2 9.574

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/3-21G*
 hartrees
Energy at 0K-397.056222
Energy at 298.15K-397.057675
HF Energy-397.056222
Nuclear repulsion energy64.464589
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 PBEPBE/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 388 370 0.00      
2 A1 54 52 36.58      
3 B2 694 661 67.57      

Unscaled Zero Point Vibrational Energy (zpe) 567.8 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 541.4 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 PBEPBE/3-21G*
ABC
11.17766 0.09976 0.09888

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.261
Na2 0.000 1.917 -0.095
Na3 0.000 -1.917 -0.095

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.94991.9499
Na21.94993.8341
Na31.94993.8341

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 158.931
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.453      
2 Na 0.226      
3 Na 0.226      


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 -1.151 1.151
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -22.162 0.000 0.000
y 0.000 3.274 0.000
z 0.000 0.000 -22.348
Traceless
 xyz
x -12.625 0.000 0.000
y 0.000 25.529 0.000
z 0.000 0.000 -12.904
Polar
3z2-r2-25.809
x2-y2-25.436
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.902 0.000 0.000
y 0.000 36.211 0.000
z 0.000 0.000 15.164


<r2> (average value of r2) Å2
<r2> 90.181
(<r2>)1/2 9.496