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

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-399.757795
Energy at 298.15K 
HF Energy-399.757795
Nuclear repulsion energy62.817606
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/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 356 341 0.00      
2 Σu 683 654 96.21      
3 Πu 40i 39i 111.84      
3 Πu 40i 39i 111.84      

Unscaled Zero Point Vibrational Energy (zpe) 478.8 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 458.8 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 mPW1PW91/aug-cc-pVDZ
B
0.09237

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/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
O11.99231.9923
Na21.99233.9846
Na31.99233.9846

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.394      
2 Na 0.697      
3 Na 0.697      


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 -20.274 0.000 0.000
y 0.000 -20.274 0.000
z 0.000 0.000 13.765
Traceless
 xyz
x -17.020 0.000 0.000
y 0.000 -17.020 0.000
z 0.000 0.000 34.039
Polar
3z2-r268.078
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 11.592 0.000 0.000
y 0.000 11.592 0.000
z 0.000 0.000 20.264


<r2> (average value of r2) Å2
<r2> 92.898
(<r2>)1/2 9.638

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-399.757829
Energy at 298.15K-399.759244
HF Energy-399.757829
Nuclear repulsion energy62.925557
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/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 361 346 3.18      
2 A1 49 47 106.72      
3 B2 679 650 97.22      

Unscaled Zero Point Vibrational Energy (zpe) 544.3 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 521.6 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 mPW1PW91/aug-cc-pVDZ
ABC
25.06363 0.09368 0.09333

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.175
Na2 0.000 1.978 -0.063
Na3 0.000 -1.978 -0.063

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99251.9925
Na21.99253.9565
Na31.99253.9565

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 166.276
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.402      
2 Na 0.701      
3 Na 0.701      


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 -1.336 1.336
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.286 0.000 0.000
y 0.000 13.269 0.000
z 0.000 0.000 -20.385
Traceless
 xyz
x -16.728 0.000 0.000
y 0.000 33.604 0.000
z 0.000 0.000 -16.876
Polar
3z2-r2-33.752
x2-y2-33.555
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.595 0.000 0.000
y 0.000 20.306 0.000
z 0.000 0.000 11.692


<r2> (average value of r2) Å2
<r2> 92.135
(<r2>)1/2 9.599