## Table of the Radial Parts of the Wavefunctions for the Hydrogen Atom

The Schrodinger equation for the hydogen atom takes the form

This equation is separable which means that while the solution is a function of three variables, it is a product of three functions, each one of which is a function of only one variable, The general solution can be writtenwhereis itself a product of a function ofandwith a function of the formwhereandare integers. The functiondepends onandThe first few functions ofare given in the table below.

l | ||

1 | 0 | |

2 | 0 | |

2 | 1 | |

3 | 0 | |

3 | 1 | |

3 | 2 |

The probability of finding the electron at radiusis plotted below for these radial wavefunctions. Each radial wavefunction is normalized to 1.