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Helium Electrons

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The energy levels for the helium ion He^+ are given by a formula similar to that for the hydrogen atom:

9.7 x 10^-18/n^2 J and the radii of the stationary electron orbits are at r_n=2.65 x 10^-11 n^2

What is the difference between a He^+ ion and a helium atom?
Calculate the radii of the n=2 and n=3 orbits of He^+ and show the ground state (n=1) bad these two orbits on a scale diagram.

Calculate the energy of the n=2 and the n=3 electron levels of He^+

Calculate the wavelengths of the n=2 to n=1 and the n=3 to n=1 transactions of the He^+ ion

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a.) He+ is an ion while He is an atom. He atom has two electrons in the first orbit (n =1) around the nucleus with 2 protons. When a He atom ejects one elcton from n =1, only one electron is left in the atom, and the atoms transforms from neutral state to +ve charged state.

b.) for n = 2: r(n=2) = 2.65*10^(-11) * 2^2 = 1.06*10^(-10) m --Answer
for n = 3: ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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