1 0 L ps x ps x d x. P E Number of outcomes favorable Total number of outcomes n En S 36. The Schrodinger equation incorporates particle behavior and wave behavior treating the electron as a standing wave.
In contrast to the probability density we can calculate the radial probability the probability of finding a 1 s electron at a distance r from the nucleus by adding together the probabilities of an electron being at all points on a series of x spherical shells of radius r1 r2 r3 rx 1 rx.
Ernest Shrodinger revolutionized physics and chemistry formulated the wave equation to describe electron motion new idea of orbitals atomic orbital a mathematical expression describing the probability of finding an electron at various locations. Successfully working your way through probability problems means understanding some basic rules of probability along with discrete and continuous probability distributions. For energy and time the uncertainty principle is DEDt h 4p D E D t h 4 p whereD E is the uncertainty in energy andD t is the uncertainty in time. Usually represented by the region of space around the nucleus where there is a high probability of finding an electron.