- #1
unknownuser9
- 15
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Homework Statement
Given that the probability of finding a 1s electron in a region between r and r + dr is:
P = [tex]\frac{4}{a_{0}^{3}}[/tex]r[tex]^{2}[/tex]e[tex]-2r/a0[/tex]dr
work out the probability that an electron would be found within a sphere of radius:
i) a0
Homework Equations
The Attempt at a Solution
It hints that substituting x = r/a0 makes it easier to integrate by parts.
So, substituting and cancelling:
P = 4x2 e-2x dx
Integrating by parts:
P = (1/2)x2e-2x + xe-2x - (1/4)e-2x
And then use 0 and a0 as my limits?
Thanks.