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The wave function for hydrogen in the 1s state may be expressed as ψ(r) = Ae−r/a0....

The wave function for hydrogen in the 1s state may be expressed as ψ(r) = Ae−r/a0. Determine the normalization constant A for this wave function. (Use the following as necessary: a0.)

Solutions

Expert Solution

The wave function for hydrogen atom in the 1s state is

                                                   

We know that, the probability of finding a particle anywhere in space should be one. So, we can write

                                                  

                           or,       

                       or,      

                     or,       (used integration by part)

                    or,      

                    or,      

For any doubt please comment.

genius_generous answered 1 year ago
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