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

using model chemistry: PBEPBE/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-399.475490
Energy at 298.15K 
HF Energy-399.475490
Nuclear repulsion energy62.599580
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σg 349 345 0.00      
2 Σu 659 652 47.45      
3 Πu 41i 41i 61.04      
3 Πu 41i 41i 61.04      

Unscaled Zero Point Vibrational Energy (zpe) 462.6 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 457.9 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(2df,p)
B
0.09173

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

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 1.999
Na3 0.000 0.000 -1.999

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99921.9992
Na21.99923.9984
Na31.99923.9984

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.548      
2 Na 0.274      
3 Na 0.274      


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 -21.264 0.000 0.000
y 0.000 -21.264 0.000
z 0.000 0.000 9.430
Traceless
 xyz
x -15.347 0.000 0.000
y 0.000 -15.347 0.000
z 0.000 0.000 30.694
Polar
3z2-r261.389
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 14.055 0.000 0.000
y 0.000 14.055 0.000
z 0.000 0.000 30.931


<r2> (average value of r2) Å2
<r2> 94.822
(<r2>)1/2 9.738

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-399.475516
Energy at 298.15K-399.476914
HF Energy-399.475516
Nuclear repulsion energy62.674917
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 353 349 0.25      
2 A1 53 52 61.71      
3 B2 657 650 51.22      

Unscaled Zero Point Vibrational Energy (zpe) 530.9 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 525.4 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 PBEPBE/6-31G(2df,p)
ABC
34.62986 0.09266 0.09241

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.149
Na2 0.000 1.989 -0.054
Na3 0.000 -1.989 -0.054

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99951.9995
Na21.99953.9784
Na31.99953.9784

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 168.372
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.550      
2 Na 0.275      
3 Na 0.275      


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 -0.846 0.846
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.281 0.000 0.000
y 0.000 8.994 0.000
z 0.000 0.000 -21.318
Traceless
 xyz
x -15.118 0.000 0.000
y 0.000 30.293 0.000
z 0.000 0.000 -15.175
Polar
3z2-r2-30.349
x2-y2-30.274
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.926 0.000 0.000
y 0.000 30.885 0.000
z 0.000 0.000 13.769


<r2> (average value of r2) Å2
<r2> 94.287
(<r2>)1/2 9.710