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All results from a given calculation for Na2 (Sodium diatomic)

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-324.360095
Energy at 298.15K 
HF Energy-324.360095
Nuclear repulsion energy20.781019
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/cc-pVTZ
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 155 154 0.00 638.81 0.14 0.24

Unscaled Zero Point Vibrational Energy (zpe) 77.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 77.2 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/cc-pVTZ
B
0.15447

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.541
Na2 0.000 0.000 -1.541

Atom - Atom Distances (Å)
  Na1 Na2
Na13.0812
Na23.0812

picture of Sodium diatomic state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Na 0.000      
2 Na 0.000      


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 -22.518 0.000 0.000
y 0.000 -22.518 0.000
z 0.000 0.000 -10.999
Traceless
 xyz
x -5.760 0.000 0.000
y 0.000 -5.760 0.000
z 0.000 0.000 11.519
Polar
3z2-r223.038
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 28.562 0.000 0.000
y 0.000 28.562 0.000
z 0.000 0.000 49.553


<r2> (average value of r2) Å2
<r2> 63.882
(<r2>)1/2 7.993