Question

Show that the following hydrogenic wavefunctions are mutualy orthogonal

a.) 1s and 2s orbitals

b.) 2p_x and 2p_y

Step 1

Two different functions (ψ_{i}, ψ_{j}) are said to be orthogonal when the integral of ψ_{i} * ψ_{j }is zero.

Step 2

(a)

The wave-functions of 1s and 2s is,

Step 3

The wave-function of 1s and 2s depends only on r and hence, it is integrated...

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