Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is (a 3 0 ) 1 2 exp ( r a 0 ), where a 0 , h 2 me 2 0 529 x 10 8 cm The charge density is p(x, y, z) e 2 , according to the statistical interpretation of the wave function Show that for thi...

Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is)

Question:

Diamagnetic susceptibility of atomic hydrogen the wave function of the hydrogen atom in its ground state (Is) is ψ = (πa³₀)^-1/2 exp (– r/a₀), where a₀, = h²/me² = 0.529 x 10^-8 cm. The charge density is p(x, y, z) = – e|ψ|², according to the statistical interpretation of the wave function. Show that for this state (r²) = 3a₀², and calculate the molar diamagnetic susceptibility of atomic hydrogen (–2.36 x 10^-6 cm³/mole).