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

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-399.498543
Energy at 298.15K 
HF Energy-399.498543
Nuclear repulsion energy62.705864
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/6-311G**
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 350 347 0.00      
2 Σu 667 661 54.72      
3 Πu 56i 55i 38.53      
3 Πu 56i 55i 38.53      

Unscaled Zero Point Vibrational Energy (zpe) 452.6 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 448.4 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/6-311G**
B
0.09204

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 1.996
Na3 0.000 0.000 -1.996

Atom - Atom Distances (Å)
  O1 Na2 Na3
O11.99581.9958
Na21.99583.9917
Na31.99583.9917

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.773      
2 Na 0.387      
3 Na 0.387      


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 -21.335 0.000 0.000
y 0.000 -21.335 0.000
z 0.000 0.000 6.706
Traceless
 xyz
x -14.020 0.000 0.000
y 0.000 -14.020 0.000
z 0.000 0.000 28.040
Polar
3z2-r256.081
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 15.818 0.000 0.000
y 0.000 15.818 0.000
z 0.000 0.000 34.698


<r2> (average value of r2) Å2
<r2> 95.121
(<r2>)1/2 9.753

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-399.498957
Energy at 298.15K-399.500390
HF Energy-399.498957
Nuclear repulsion energy63.062955
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/6-311G**
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 372 369 1.90      
2 A1 64 63 48.76      
3 B2 638 632 79.45      

Unscaled Zero Point Vibrational Energy (zpe) 536.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 531.9 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/6-311G**
ABC
3.91124 0.09982 0.09733

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.442
Na2 0.000 1.917 -0.161
Na3 0.000 -1.917 -0.161

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.00902.0090
Na22.00903.8330
Na32.00903.8330

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 145.088
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -0.746      
2 Na 0.373      
3 Na 0.373      


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 -2.245 2.245
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -21.324 0.000 0.000
y 0.000 4.104 0.000
z 0.000 0.000 -21.919
Traceless
 xyz
x -12.417 0.000 0.000
y 0.000 25.726 0.000
z 0.000 0.000 -13.309
Polar
3z2-r2-26.619
x2-y2-25.429
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.118 0.000 0.000
y 0.000 33.487 0.000
z 0.000 0.000 12.597


<r2> (average value of r2) Å2
<r2> 91.086
(<r2>)1/2 9.544