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

using model chemistry: mPW1PW91/CEP-31G*

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 mPW1PW91/CEP-31G*
 hartrees
Energy at 0K-0.390807
Energy at 298.15K-0.391753
HF Energy-0.390807
Nuclear repulsion energy0.156348
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 mPW1PW91/CEP-31G*
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 150 142 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 74.9 cm-1
Scaled (by 0.9499) Zero Point Vibrational Energy (zpe) 71.2 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 mPW1PW91/CEP-31G*
B
0.12802

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/CEP-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Na1 0.000 0.000 1.692
Na2 0.000 0.000 -1.692

Atom - Atom Distances (Å)
  Na1 Na2
Na13.3846
Na23.3846

picture of Sodium diatomic state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/CEP-31G* 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 -16.033 0.000 0.000
y 0.000 -16.033 0.000
z 0.000 0.000 -5.452
Traceless
 xyz
x -5.291 0.000 0.000
y 0.000 -5.291 0.000
z 0.000 0.000 10.581
Polar
3z2-r221.162
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 27.526 0.000 0.000
y 0.000 27.526 0.000
z 0.000 0.000 62.202


<r2> (average value of r2) Å2
<r2> 13.539
(<r2>)1/2 3.680