Problem 8E

What is a state function? List some examples of state functions.

Solution: The probability of finding the electron at a point within an atom is proportional to the 2 2 square of the wave function i.e.,|| at that point. Therefore || is called probability density and is always positive. Step1: 2 a) The probability density || (x) from x = 0 to x = 2 is given below: 0 2 Step2: b) The probability of finding the electron will be greatest at some values of x between 0 to and to 2. These are represented by the peak points in the probability density graph. Step3: c) The probability of finding an electron at x = is zero. Such a point is called node. At the node, the value of wave function changes from positive to negative. ------------------