return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: LSDA/6-311G**

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/6-311G**
 hartrees
Energy at 0K-398.197689
Energy at 298.15K 
HF Energy-398.197689
Nuclear repulsion energy63.978138
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/6-311G**
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 372 368 0.00      
2 Σu 708 699 65.44      
3 Πu 51i 50i 53.42      
3 Πu 51i 50i 53.42      

Unscaled Zero Point Vibrational Energy (zpe) 489.4 cm-1
Scaled (by 0.9877) Zero Point Vibrational Energy (zpe) 483.4 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 LSDA/6-311G**
B
0.09581

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-311G**

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 1.956
Na3 0.000 0.000 -1.956

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.95611.9561
Na21.95613.9123
Na31.95613.9123

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.781      
2 Na 0.391      
3 Na 0.391      


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 -20.845 0.000 0.000
y 0.000 -20.845 0.000
z 0.000 0.000 7.260
Traceless
 xyz
x -14.052 0.000 0.000
y 0.000 -14.052 0.000
z 0.000 0.000 28.105
Polar
3z2-r256.210
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 13.063 0.000 0.000
y 0.000 13.063 0.000
z 0.000 0.000 30.274


<r2> (average value of r2) Å2
<r2> 91.351
(<r2>)1/2 9.558

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at LSDA/6-311G**
 hartrees
Energy at 0K-398.197846
Energy at 298.15K-398.199283
HF Energy-398.197846
Nuclear repulsion energy64.190960
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/6-311G**
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 384 379 0.84      
2 A1 45 44 56.18      
3 B2 694 685 81.63      

Unscaled Zero Point Vibrational Energy (zpe) 561.2 cm-1
Scaled (by 0.9877) Zero Point Vibrational Energy (zpe) 554.3 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 LSDA/6-311G**
ABC
8.02538 0.09988 0.09865

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.309
Na2 0.000 1.916 -0.112
Na3 0.000 -1.916 -0.112

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.96151.9615
Na21.96153.8318
Na31.96153.8318

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 155.229
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.765      
2 Na 0.383      
3 Na 0.383      


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 -1.690 1.690
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.844 0.000 0.000
y 0.000 5.935 0.000
z 0.000 0.000 -21.130
Traceless
 xyz
x -13.247 0.000 0.000
y 0.000 26.922 0.000
z 0.000 0.000 -13.676
Polar
3z2-r2-27.351
x2-y2-26.779
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.470 0.000 0.000
y 0.000 29.760 0.000
z 0.000 0.000 11.808


<r2> (average value of r2) Å2
<r2> 89.296
(<r2>)1/2 9.450