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

using model chemistry: PBEPBE/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-399.470753
Energy at 298.15K 
HF Energy-399.470753
Nuclear repulsion energy62.387538
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/6-31+G**
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 338 334 0.00      
2 Σu 655 648 44.97      
3 Πu 71i 70i 65.28      
3 Πu 71i 70i 65.28      

Unscaled Zero Point Vibrational Energy (zpe) 425.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 420.8 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/6-31+G**
B
0.09111

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31+G**

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 2.006
Na3 0.000 0.000 -2.006

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.00602.0060
Na22.00604.0120
Na32.00604.0120

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.318      
2 Na 0.659      
3 Na 0.659      


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 -21.091 0.000 0.000
y 0.000 -21.091 0.000
z 0.000 0.000 9.634
Traceless
 xyz
x -15.362 0.000 0.000
y 0.000 -15.362 0.000
z 0.000 0.000 30.725
Polar
3z2-r261.450
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 13.536 0.000 0.000
y 0.000 13.536 0.000
z 0.000 0.000 32.862


<r2> (average value of r2) Å2
<r2> 95.307
(<r2>)1/2 9.763

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-399.471032
Energy at 298.15K-399.472438
HF Energy-399.471032
Nuclear repulsion energy62.692517
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/6-31+G**
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 353 349 2.79      
2 A1 60 59 72.16      
3 B2 647 640 60.22      

Unscaled Zero Point Vibrational Energy (zpe) 529.7 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 523.6 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 PBEPBE/6-31+G**
ABC
7.96465 0.09514 0.09402

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.310
Na2 0.000 1.963 -0.113
Na3 0.000 -1.963 -0.113

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.00792.0079
Na22.00793.9261
Na32.00793.9261

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 155.717
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.299      
2 Na 0.649      
3 Na 0.649      


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 -1.911 1.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.133 0.000 0.000
y 0.000 7.951 0.000
z 0.000 0.000 -21.473
Traceless
 xyz
x -14.371 0.000 0.000
y 0.000 29.254 0.000
z 0.000 0.000 -14.882
Polar
3z2-r2-29.765
x2-y2-29.083
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.911 0.000 0.000
y 0.000 32.333 0.000
z 0.000 0.000 12.390


<r2> (average value of r2) Å2
<r2> 93.038
(<r2>)1/2 9.646