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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-399.509558
Energy at 298.15K 
HF Energy-399.509558
Nuclear repulsion energy62.407790
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/TZVP
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 340 336 0.00      
2 Σu 654 647 46.19      
3 Πu 61i 60i 45.46      
3 Πu 61i 60i 45.46      

Unscaled Zero Point Vibrational Energy (zpe) 436.1 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 431.1 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/TZVP
B
0.09117

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

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 2.005
Na3 0.000 0.000 -2.005

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.00542.0054
Na22.00544.0107
Na32.00544.0107

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.132      
2 Na 0.566      
3 Na 0.566      


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 -20.753 0.000 0.000
y 0.000 -20.753 0.000
z 0.000 0.000 8.200
Traceless
 xyz
x -14.476 0.000 0.000
y 0.000 -14.476 0.000
z 0.000 0.000 28.952
Polar
3z2-r257.905
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 14.676 0.000 0.000
y 0.000 14.676 0.000
z 0.000 0.000 33.798


<r2> (average value of r2) Å2
<r2> 95.407
(<r2>)1/2 9.768

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-399.509902
Energy at 298.15K-399.511318
HF Energy-399.509902
Nuclear repulsion energy62.573644
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/TZVP
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 353 349 1.34      
2 A1 68 67 62.47      
3 B2 630 623 67.70      

Unscaled Zero Point Vibrational Energy (zpe) 525.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 519.6 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/TZVP
ABC
5.21390 0.09648 0.09473

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
O1 0.000 0.000 0.383
Na2 0.000 1.949 -0.139
Na3 0.000 -1.949 -0.139

Atom - Atom Distances (Å)
  O1 Na2 Na3
O12.01812.0181
Na22.01813.8988
Na32.01813.8988

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 150.020
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 O -1.109      
2 Na 0.554      
3 Na 0.554      


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 -2.119 2.119
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -20.888 0.000 0.000
y 0.000 6.264 0.000
z 0.000 0.000 -21.498
Traceless
 xyz
x -13.271 0.000 0.000
y 0.000 27.457 0.000
z 0.000 0.000 -14.187
Polar
3z2-r2-28.373
x2-y2-27.152
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.078 0.000 0.000
y 0.000 32.689 0.000
z 0.000 0.000 11.614


<r2> (average value of r2) Å2
<r2> 92.722
(<r2>)1/2 9.629