Saturday, December 7, 2019

Consistence About A Hartree

Hartree energy is defined as

EH=2RHhcEH=2RHhc

From the post "Looking for Murder" dated 13 Oct 2018 it was proposed that,

RH=12πaψcRH=12πaψc

where RHRH is the Rydberg constant

So,

EH=2hc2πaψcEH=2hc2πaψc

but

f=cλψc=c2πaψcf=cλψc=c2πaψc

as

λψc=2πaψcλψc=2πaψc

we have,

EH=2hfψcEH=2hfψc --- (*)

which only confirms that the prposed definition for RHRH in the post "Looking for Murder" dated 13 Oct 2018 is dimensionally correct.

In the definition for Harttree Energy, this energy is approximately the electric potential energy of the hydrogen atom in its ground state and, by the virial theorem, approximately twice its ionization energy; the relationships are not exact because of the finite mass of the nucleus of the hydrogen atom and relativistic corrections. 

aψ=14.77nmaψ=14.77nm is a particle defined by ψψ in circular motion; Hartree Energy sees an electron in orbit around a hydrogen nucleus.

This contention is not new and has been resolved by thinking that the electron is a wave going in orbit.

The posts presented here however, takes the view that the electron is made up of a ψψ wave warped around a sphere.  A ψψ wave in circular motion.  Enegry changes of this wave result in the spectral lines.  The electron need not be in orbit around the hydrogen nucleus.

The size of a hydrogen atom is in the range of ×1015×1015 meters, fmfm,
but a consistent aψcaψc, according to (*) is in the range of tenth of ×109×109.

An electron at aψcaψc from the hydrogen nucleus cannot be at the ground state.

A particle, however, can have a force field around it up to ×109×109 meters.

Good night...