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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-399.456621
Energy at 298.15K 
HF Energy-399.456621
Nuclear repulsion energy63.528127
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 PBE1PBE/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 367 351 0.00      
2 Σu 709 678 99.23      
3 Πu 53i 51i 67.91      
3 Πu 53i 51i 67.91      

Unscaled Zero Point Vibrational Energy (zpe) 484.7 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 463.3 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 PBE1PBE/6-31G
B
0.09447

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.970
Na3 0.000 0.000 -1.970

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.97001.9700
Na21.97003.9400
Na31.97003.9400

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 PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.927      
2 Na 0.463      
3 Na 0.463      


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 -21.235 0.000 0.000
y 0.000 -21.235 0.000
z 0.000 0.000 7.615
Traceless
 xyz
x -14.425 0.000 0.000
y 0.000 -14.425 0.000
z 0.000 0.000 28.850
Polar
3z2-r257.700
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 13.068 0.000 0.000
y 0.000 13.068 0.000
z 0.000 0.000 28.395


<r2> (average value of r2) Å2
<r2> 92.637
(<r2>)1/2 9.625

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-399.456711
Energy at 298.15K-399.458174
HF Energy-399.456711
Nuclear repulsion energy63.659495
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 PBE1PBE/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 375 359 0.50      
2 A1 64 61 65.59      
3 B2 705 674 102.31      

Unscaled Zero Point Vibrational Energy (zpe) 572.2 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 547.0 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 PBE1PBE/6-31G
ABC
17.55432 0.09636 0.09583

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.209
Na2 0.000 1.951 -0.076
Na3 0.000 -1.951 -0.076

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.97131.9713
Na21.97133.9012
Na31.97133.9012

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 163.405
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.922      
2 Na 0.461      
3 Na 0.461      


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 -1.249 1.249
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.209 0.000 0.000
y 0.000 7.083 0.000
z 0.000 0.000 -21.415
Traceless
 xyz
x -14.044 0.000 0.000
y 0.000 28.395 0.000
z 0.000 0.000 -14.352
Polar
3z2-r2-28.704
x2-y2-28.293
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.970 0.000 0.000
y 0.000 28.366 0.000
z 0.000 0.000 12.841


<r2> (average value of r2) Å2
<r2> 91.582
(<r2>)1/2 9.570