Thursday, October 9, 2014

Complex? Not Fully In Grasp

From the previous post "Electrons In Orbit Again",

\(r_e=\cfrac { m_{ e }\pm \sqrt { m^{ 2 }_{ e }-\cfrac { A }{ \pi v^{ 2 } } (\cfrac { q^{ 2 } }{ \varepsilon _{ o } } -\cfrac { T_{ e }T_{ n } }{ \tau _{ o } } ) }  }{ 2A } \)

\(r_e\)  turns complex when  \(v^2\)  is low such that the discriminant is negative.   It would seems that a phase lag develops between the pull of the nucleus (and other forces) and the response of the electron as seen by a changing  \(r_e\).

The electron is not fully captured by the nucleus, this electron will accelerate towards the nucleus and gain greater speed before entering into orbit around the nucleus.