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

using model chemistry: PBE1PBE/aug-cc-pVDZ

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 PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-399.510708
Energy at 298.15K 
HF Energy-399.510708
Nuclear repulsion energy62.841172
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/aug-cc-pVDZ
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 356 343 0.00      
2 Σu 684 658 90.84      
3 Πu 46i 44i 109.72      
3 Πu 46i 44i 109.72      

Unscaled Zero Point Vibrational Energy (zpe) 474.1 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 455.9 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 PBE1PBE/aug-cc-pVDZ
B
0.09244

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

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 1.992
Na3 0.000 0.000 -1.992

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99151.9915
Na21.99153.9831
Na31.99153.9831

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.376      
2 Na 0.688      
3 Na 0.688      


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 -20.322 0.000 0.000
y 0.000 -20.322 0.000
z 0.000 0.000 13.352
Traceless
 xyz
x -16.837 0.000 0.000
y 0.000 -16.837 0.000
z 0.000 0.000 33.674
Polar
3z2-r267.348
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 11.423 0.000 0.000
y 0.000 11.423 0.000
z 0.000 0.000 21.412


<r2> (average value of r2) Å2
<r2> 92.939
(<r2>)1/2 9.640

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-399.510760
Energy at 298.15K-399.512183
HF Energy-399.510760
Nuclear repulsion energy62.968656
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/aug-cc-pVDZ
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 363 349 3.63      
2 A1 52 50 103.60      
3 B2 679 653 92.69      

Unscaled Zero Point Vibrational Energy (zpe) 547.2 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 526.2 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/aug-cc-pVDZ
ABC
20.36115 0.09405 0.09361

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.194
Na2 0.000 1.974 -0.070
Na3 0.000 -1.974 -0.070

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99201.9920
Na21.99203.9489
Na31.99203.9489

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 164.761
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.388      
2 Na 0.694      
3 Na 0.694      


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 -1.467 1.467
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.337 0.000 0.000
y 0.000 12.740 0.000
z 0.000 0.000 -20.454
Traceless
 xyz
x -16.480 0.000 0.000
y 0.000 33.135 0.000
z 0.000 0.000 -16.655
Polar
3z2-r2-33.310
x2-y2-33.077
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.421 0.000 0.000
y 0.000 21.457 0.000
z 0.000 0.000 11.547


<r2> (average value of r2) Å2
<r2> 92.015
(<r2>)1/2 9.592