Question: Using ζ as a variational parameter in the normalized function allows one to vary the size of the orbital. Show this by calculating the probability

Using ζ as a variational parameter in the normalized function

VHL: = 1/VT (5/a}/²e $rl0,

allows one to vary the size of the orbital. Show this by calculating the probability of finding the electron inside a sphere of radius a0 for different values of ζ using the standard integral

-ax -ax х dx = -e

a. Obtain an expression for the probability as a function of ζ.

b. Evaluate the probability for ζ = 1.5, 2.5, and 3.5.

VHL: = 1/VT (5/a}/e $rl0, -ax -ax dx = -e

Step by Step Solution

3.28 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Using the standard in... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Physical Chemistry Questions!