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

using model chemistry: mPW1PW91/3-21G

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 mPW1PW91/3-21G
 hartrees
Energy at 0K-397.302954
Energy at 298.15K-397.303970
HF Energy-397.302954
Nuclear repulsion energy64.209284
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 mPW1PW91/3-21G
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 381 364 0.00      
2 Σu 725 692 110.75      
3 Πu 33 32 51.25      
3 Πu 33 32 51.25      

Unscaled Zero Point Vibrational Energy (zpe) 586.0 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 559.4 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 mPW1PW91/3-21G
B
0.09651

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

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 1.949
Na3 0.000 0.000 -1.949

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.94911.9491
Na21.94913.8982
Na31.94913.8982

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 mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.677      
2 Na 0.338      
3 Na 0.338      


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 -21.776 0.000 0.000
y 0.000 -21.776 0.000
z 0.000 0.000 4.699
Traceless
 xyz
x -13.238 0.000 0.000
y 0.000 -13.238 0.000
z 0.000 0.000 26.475
Polar
3z2-r252.950
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 14.364 0.000 0.000
y 0.000 14.364 0.000
z 0.000 0.000 28.818


<r2> (average value of r2) Å2
<r2> 91.667
(<r2>)1/2 9.574

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-397.302954
Energy at 298.15K-397.304375
HF Energy-397.302954
Nuclear repulsion energy64.212474
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 mPW1PW91/3-21G
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 381 364 0.00      
2 A1 33 31 51.26      
3 B2 725 692 110.73      

Unscaled Zero Point Vibrational Energy (zpe) 569.3 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 543.5 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 mPW1PW91/3-21G
B
0.09652

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

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

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.94901.9490
Na21.94903.8980
Na31.94903.8980

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 179.967
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.677      
2 Na 0.338      
3 Na 0.338      


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 -0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.775 0.000 0.000
y 0.000 4.698 0.000
z 0.000 0.000 -21.775
Traceless
 xyz
x -13.236 0.000 0.000
y 0.000 26.473 0.000
z 0.000 0.000 -13.236
Polar
3z2-r2-26.473
x2-y2-26.473
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.362 0.000 0.000
y 0.000 28.815 0.000
z 0.000 0.000 14.362


<r2> (average value of r2) Å2
<r2> 91.659
(<r2>)1/2 9.574