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

using model chemistry: PBEPBEultrafine/CEP-121G

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 PBEPBEultrafine/CEP-121G
 hartrees
Energy at 0K-0.392798
Energy at 298.15K-0.393744
HF Energy-0.392798
Nuclear repulsion energy0.165968
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/CEP-121G
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 148 148 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 73.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 73.8 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/CEP-121G
B
0.14426

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/CEP-121G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.594
Na2 0.000 0.000 -1.594

Atom - Atom Distances (Å)
  Na1 Na2
Na13.1884
Na23.1884

picture of Sodium diatomic state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/CEP-121G 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 -18.054 0.000 0.000
y 0.000 -18.054 0.000
z 0.000 0.000 -4.281
Traceless
 xyz
x -6.886 0.000 0.000
y 0.000 -6.886 0.000
z 0.000 0.000 13.773
Polar
3z2-r227.546
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 31.446 0.000 0.000
y 0.000 31.446 0.000
z 0.000 0.000 57.184


<r2> (average value of r2) Å2
<r2> 13.492
(<r2>)1/2 3.673