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

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-399.526466
Energy at 298.15K-399.527316
HF Energy-399.526466
Nuclear repulsion energy62.205010
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/cc-pVTZ
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 338 336 0.00      
2 Σu 641 637 46.05      
3 Πu 12 12 66.52      
3 Πu 12 12 66.52      

Unscaled Zero Point Vibrational Energy (zpe) 501.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 497.8 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 PBEPBE/cc-pVTZ
B
0.09058

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

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 2.012
Na3 0.000 0.000 -2.012

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.01192.0119
Na22.01194.0238
Na32.01194.0238

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/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.696      
2 Na 0.348      
3 Na 0.348      


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 -21.173 0.000 0.000
y 0.000 -21.173 0.000
z 0.000 0.000 10.280
Traceless
 xyz
x -15.726 0.000 0.000
y 0.000 -15.726 0.000
z 0.000 0.000 31.453
Polar
3z2-r262.906
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 14.780 0.000 0.000
y 0.000 14.780 0.000
z 0.000 0.000 31.912


<r2> (average value of r2) Å2
<r2> 95.727
(<r2>)1/2 9.784

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-399.526621
Energy at 298.15K-399.528033
HF Energy-399.526621
Nuclear repulsion energy62.496363
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/cc-pVTZ
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 354 351 4.78      
2 A1 67 67 64.74      
3 B2 620 616 65.21      

Unscaled Zero Point Vibrational Energy (zpe) 520.5 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 516.9 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/cc-pVTZ
ABC
4.91969 0.09653 0.09467

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.394
Na2 0.000 1.949 -0.143
Na3 0.000 -1.949 -0.143

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.02162.0216
Na22.02163.8978
Na32.02163.8978

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 149.171
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.674      
2 Na 0.337      
3 Na 0.337      


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 -2.426 2.426
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.276 0.000 0.000
y 0.000 7.789 0.000
z 0.000 0.000 -21.560
Traceless
 xyz
x -14.391 0.000 0.000
y 0.000 29.207 0.000
z 0.000 0.000 -14.816
Polar
3z2-r2-29.633
x2-y2-29.065
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.131 0.000 0.000
y 0.000 31.087 0.000
z 0.000 0.000 13.709


<r2> (average value of r2) Å2
<r2> 92.552
(<r2>)1/2 9.620