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## Main Question or Discussion Point

I was reading and came across a formula that didn’t look right so I tried to simplify the left side to match the right side; however, my fraction algebra is a little rusty and could use some guidance. I did get the 2 fractions to a common denominator; however, the best I could do was factor out an r. Here is the formula:

[tex]

E_n=\frac{n^2h^2}{2\mu r_n^2}- \frac{e^2}{4\pi\epsilon_0 r_n}=-\frac{e^4\mu}{8\epsilon^2_0 n^2h^2}

[/tex]

The equation can be found in context at the following link, which should take you to page 173, equation (5.40) is on page 172.

http://books.google.com/books?id=FnQFgh1-UbgC&pg=PA173&dq="derive+rydberg+constant"+bohr&hl=en&ei=zt_CTpWgA8eDsAKvxbXOCw&sa=X&oi=book_result&ct=result&resnum=21&ved=0CJQBEOgBMBQ#v=onepage&q&f=false

Stochastic Simulations of Clusters: Quantum Methods in Flat and Curved Spaces By Emanuele Curotto

[tex]

E_n=\frac{n^2h^2}{2\mu r_n^2}- \frac{e^2}{4\pi\epsilon_0 r_n}=-\frac{e^4\mu}{8\epsilon^2_0 n^2h^2}

[/tex]

The equation can be found in context at the following link, which should take you to page 173, equation (5.40) is on page 172.

http://books.google.com/books?id=FnQFgh1-UbgC&pg=PA173&dq="derive+rydberg+constant"+bohr&hl=en&ei=zt_CTpWgA8eDsAKvxbXOCw&sa=X&oi=book_result&ct=result&resnum=21&ved=0CJQBEOgBMBQ#v=onepage&q&f=false

Stochastic Simulations of Clusters: Quantum Methods in Flat and Curved Spaces By Emanuele Curotto