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Question

how do you find b? it shows but doesnt make sense

In the spherical coordinates, the spin-less electron radial wave functions of the two lowest energy states (i.e. n= 1 and 2) of the time-independent Schroedinger equation for the hydrogen atom are known to be: -3/2 R,(r) = 2a 'erlao and R,(r) = (2a,) -r/2a, e respectively, where a, is the Bohr radius. (a) What are the algebraic expressions of the total wave functions, @ (n,l,m,), for P (1,0,0), 9(2,0,0), and (2,1,0), respectively? (b) If one includes the electron spin, how many states are available for n= 2? Show your work.
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Transcribed Image Text:In the spherical coordinates, the spin-less electron radial wave functions of the two lowest energy states (i.e. n= 1 and 2) of the time-independent Schroedinger equation for the hydrogen atom are known to be: -3/2 R,(r) = 2a 'erlao and R,(r) = (2a,) -r/2a, e respectively, where a, is the Bohr radius. (a) What are the algebraic expressions of the total wave functions, @ (n,l,m,), for P (1,0,0), 9(2,0,0), and (2,1,0), respectively? (b) If one includes the electron spin, how many states are available for n= 2? Show your work.
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