Loading [MathJax]/extensions/TeX/AMSsymbols.js

fredag 7 mars 2025

RealQM for XH with X Alkaline (Earth) Metal

We now let RealQM compute dissociation energies E of molecules of the form XH with X=Li, Na, K, Rb, Cs an Fr the Alkaline Metals, and H Hydrogen, with the computation in 3d reduced to the covalent bond from the valence electron of X meeting inner shell electrons a certain distance R to the kernel, and the valence electron of H.  We obtain the following results using this code:

  • R = 0.5     E = 0.13
  • R = 0.55   E = 0.087
  • R = 0.6     E = 0.08
  • R = 0.7     E = 0.06
  • R = 0.8     E = 0.047
  • R = 0.9     E = 0.034 
  • R = 1.0    E = 0.02
with R in atomic units and E in Hartree.

We compare with the following list values:
  • LiH   E = 0.0906
  • NaH   E = 0.0769
  • KH     E = 0.0701
  • RbH   E = 0.0655
  • CsH   E = 0.0609
  • FrH   E = 0.0571
We see a match over the column LiH - FrH with R in the range 0.55 - 0.8.

Let us complement with Alkaline Earth Metal with X = Be, Mg, Ca, Sr, Ba, Ra. RealQM in the same form as above with now two valence electrons outside an inner shell of radius R, gives the following dissociation energy E of XH with this code:
  • R = 0.8       E = 0.10
  • R = 1          E = 0.08
  • R = 1.2       E = 0.07
again in fair agreement with the following list values:
  • BeH     E = 0.0812
  • MgH    E = 0.0493
  • CaH     E = 0.0687
  • SrH     E = 0.0647
  • BaH    E = 0.0585
  • RaH    E = 0.0566

Inga kommentarer:

Skicka en kommentar