(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How to calculate the probability of finding an 1s electron within 1 picometer cubic region located 50pm from the nucleus.

2. Relevant equations

The probability of an 1s electron within a spherical volume of radius 'a' from nucleus can be find using the expression

$$\int_{0}^{a}\int_{0}^{\pi}\int_{0}^{2\pi}|\psi(r,,\theta,\phi)|^2r^2 dr \sin(\theta) d\theta d\phi$$

but how to find probability within a cubic region?

3. The attempt at a solution

I thought I could transform ${(r,\theta,\phi)}$ into (x,y,z) coordinates and integrate the above integral within proper limits, but the integral will become messy! and also I don't know whether it is the proper way of doing this problem, all I am asking is give me a hint how to do this problem?

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# Homework Help: Finding the probability of 1s electron within a cubical volume

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