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

using model chemistry: PBEPBEultrafine/cc-pVTZ

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 PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-399.526419
Energy at 298.15K 
HF Energy-399.526419
Nuclear repulsion energy62.217805
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 PBEPBEultrafine/cc-pVTZ
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 336 334 0.00      
2 Σu 638 633 46.24      
3 Πu 42i 42i 66.59      
3 Πu 42i 42i 66.59      

Unscaled Zero Point Vibrational Energy (zpe) 444.9 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 441.8 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 PBEPBEultrafine/cc-pVTZ
B
0.09061

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

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 2.011
Na3 0.000 0.000 -2.011

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.01152.0115
Na22.01154.0230
Na32.01154.0230

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 PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.697      
2 Na 0.348      
3 Na 0.348      


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 -21.172 0.000 0.000
y 0.000 -21.172 0.000
z 0.000 0.000 10.269
Traceless
 xyz
x -15.721 0.000 0.000
y 0.000 -15.721 0.000
z 0.000 0.000 31.441
Polar
3z2-r262.883
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 14.772 0.000 0.000
y 0.000 14.772 0.000
z 0.000 0.000 31.895


<r2> (average value of r2) Å2
<r2> 95.692
(<r2>)1/2 9.782

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-399.526589
Energy at 298.15K-399.527966
HF Energy-399.526589
Nuclear repulsion energy62.452234
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 PBEPBEultrafine/cc-pVTZ
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 349 347 3.66      
2 A1 52 51 66.31      
3 B2 621 616 63.16      

Unscaled Zero Point Vibrational Energy (zpe) 510.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 507.1 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 PBEPBEultrafine/cc-pVTZ
ABC
5.84702 0.09555 0.09401

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.361
Na2 0.000 1.959 -0.131
Na3 0.000 -1.959 -0.131

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.01992.0199
Na22.01993.9177
Na32.01993.9177

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 151.752
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.678      
2 Na 0.339      
3 Na 0.339      


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 -2.216 2.216
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.262 0.000 0.000
y 0.000 8.143 0.000
z 0.000 0.000 -21.495
Traceless
 xyz
x -14.586 0.000 0.000
y 0.000 29.522 0.000
z 0.000 0.000 -14.936
Polar
3z2-r2-29.872
x2-y2-29.405
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.204 0.000 0.000
y 0.000 31.270 0.000
z 0.000 0.000 13.771


<r2> (average value of r2) Å2
<r2> 93.048
(<r2>)1/2 9.646