Friday, April 1, 2016

Quantum Numbers And Sun Flowers

Quantum Number assignment,


where \(m\), the projection of the angular momentum is perpendicular to \(l=0\) azimuth and so, \(m=0\) always, for \(l=0\).  Spin number \(s\) is associated with individual particle in the nucleus; for electrons, they spin around the positive particles.  \(n\) is assigned to all particles of the same orbital radius.

As such we have three sets of orthogonal Quantum Number,

\(n_g\), \(l_g\), \(m_g\) and \(s_g\) for gravity particles

\(n_T\), \(l_T\), \(m_T\) and \(s_T\) for temperature particles

\(n_c\), \(l_c\), \(m_c\) and \(s_c\) for charge particles

In this interpretation, \(l\) is assigned to equally space orbits around the nucleus.  For \(n_{or}\) number of orbits,

\(0\le l\le n_{or}-1\).

\(m\) is the projection of \(l\) perpendicular to \(l=0\), arbitrarily.

Why then are petals of number 2, 8, 18, 32 preferred on the sun flowers of the main periodic table?