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

using model chemistry: LSDA/6-31+G**

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 LSDA/6-31+G**
 hartrees
Energy at 0K-398.164236
Energy at 298.15K 
HF Energy-398.164236
Nuclear repulsion energy63.775711
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 LSDA/6-31+G**
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 359 353 0.00      
2 Σu 701 691 57.40      
3 Πu 74i 73i 86.73      
3 Πu 74i 73i 86.73      

Unscaled Zero Point Vibrational Energy (zpe) 456.0 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 449.1 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 LSDA/6-31+G**
B
0.09521

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

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 1.962
Na3 0.000 0.000 -1.962

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.96241.9624
Na21.96243.9247
Na31.96243.9247

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 LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.381      
2 Na 0.690      
3 Na 0.690      


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 -20.609 0.000 0.000
y 0.000 -20.609 0.000
z 0.000 0.000 10.064
Traceless
 xyz
x -15.337 0.000 0.000
y 0.000 -15.337 0.000
z 0.000 0.000 30.673
Polar
3z2-r261.347
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 11.066 0.000 0.000
y 0.000 11.066 0.000
z 0.000 0.000 28.255


<r2> (average value of r2) Å2
<r2> 91.204
(<r2>)1/2 9.550

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-398.164457
Energy at 298.15K-398.165952
HF Energy-398.164457
Nuclear repulsion energy64.038427
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 LSDA/6-31+G**
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 3.74      
2 A1 80 79 83.22      
3 B2 701 691 68.14      

Unscaled Zero Point Vibrational Energy (zpe) 578.7 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 570.0 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 LSDA/6-31+G**
ABC
12.70820 0.09812 0.09737

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.245
Na2 0.000 1.933 -0.089
Na3 0.000 -1.933 -0.089

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.96171.9617
Na21.96173.8660
Na31.96173.8660

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 160.374
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.377      
2 Na 0.688      
3 Na 0.688      


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 -1.672 1.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.633 0.000 0.000
y 0.000 8.994 0.000
z 0.000 0.000 -20.848
Traceless
 xyz
x -14.706 0.000 0.000
y 0.000 29.735 0.000
z 0.000 0.000 -15.029
Polar
3z2-r2-30.057
x2-y2-29.627
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.919 0.000 0.000
y 0.000 27.891 0.000
z 0.000 0.000 10.868


<r2> (average value of r2) Å2
<r2> 89.624
(<r2>)1/2 9.467