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

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

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/6-31G**
 hartrees
Energy at 0K-399.457428
Energy at 298.15K 
HF Energy-399.457428
Nuclear repulsion energy63.091393
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/6-31G**
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 352 347 0.00      
2 Σu 669 659 47.37      
3 Πu 89i 88i 34.54      
3 Πu 89i 88i 34.54      

Unscaled Zero Point Vibrational Energy (zpe) 421.7 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 415.9 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/6-31G**
B
0.09318

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

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 1.984
Na3 0.000 0.000 -1.984

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.98361.9836
Na21.98363.9673
Na31.98363.9673

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/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.711      
2 Na 0.355      
3 Na 0.355      


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 -21.979 0.000 0.000
y 0.000 -21.979 0.000
z 0.000 0.000 6.058
Traceless
 xyz
x -14.019 0.000 0.000
y 0.000 -14.019 0.000
z 0.000 0.000 28.037
Polar
3z2-r256.074
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 17.097 0.000 0.000
y 0.000 17.097 0.000
z 0.000 0.000 37.003


<r2> (average value of r2) Å2
<r2> 94.457
(<r2>)1/2 9.719

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-399.458257
Energy at 298.15K-399.459686
HF Energy-399.458257
Nuclear repulsion energy63.468957
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/6-31G**
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 376 371 2.30      
2 A1 65 64 43.29      
3 B2 627 619 81.08      

Unscaled Zero Point Vibrational Energy (zpe) 534.5 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 527.2 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 PBEPBE/6-31G**
ABC
3.26730 0.10265 0.09952

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.484
Na2 0.000 1.890 -0.176
Na3 0.000 -1.890 -0.176

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.00172.0017
Na22.00173.7799
Na32.00173.7799

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 141.533
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.686      
2 Na 0.343      
3 Na 0.343      


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 -2.350 2.350
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.957 0.000 0.000
y 0.000 2.998 0.000
z 0.000 0.000 -22.596
Traceless
 xyz
x -12.158 0.000 0.000
y 0.000 25.274 0.000
z 0.000 0.000 -13.116
Polar
3z2-r2-26.233
x2-y2-24.955
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.086 0.000 0.000
y 0.000 35.555 0.000
z 0.000 0.000 13.211


<r2> (average value of r2) Å2
<r2> 89.783
(<r2>)1/2 9.475