The-Mexican™
California, United States
The Probability of finding the electron in the region of space described by the folowing wavefunction:

Ψ = (r-2)/(a0)* e^( -r/ 2a0 ) Note: a0 is a constant @ 52.9 pico meters.

N^2 ∫ r*Ψ^2 dΓ

where d Γ = r*dr*SinθdθdΦ

Integrating from the nucleus to infinity we expect the probability to be 1, thus.

N^2 ∫ r*Ψ^2 dΓ = 1 (from 0 to infinity)

The normalization constant n is determined to be:

N = 0.00015108582968844148

Thus integrating in the region of 200 to 400 pm.

N^2 ∫ r*Ψ^2 dΓ = 0.5462834607306051

54.6% chance of finding the electron in the region of 200pm to 400pm from the nucleus.

Note that these results are based on the probability of finding "an electron," at this point I assume you know what element I am talking about...
The Probability of finding the electron in the region of space described by the folowing wavefunction:

Ψ = (r-2)/(a0)* e^( -r/ 2a0 ) Note: a0 is a constant @ 52.9 pico meters.

N^2 ∫ r*Ψ^2 dΓ

where d Γ = r*dr*SinθdθdΦ

Integrating from the nucleus to infinity we expect the probability to be 1, thus.

N^2 ∫ r*Ψ^2 dΓ = 1 (from 0 to infinity)

The normalization constant n is determined to be:

N = 0.00015108582968844148

Thus integrating in the region of 200 to 400 pm.

N^2 ∫ r*Ψ^2 dΓ = 0.5462834607306051

54.6% chance of finding the electron in the region of 200pm to 400pm from the nucleus.

Note that these results are based on the probability of finding "an electron," at this point I assume you know what element I am talking about...
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Targ 26 Jul, 2025 @ 1:27pm 
Top strategy
︻デꞩꞥIꝑer 10 Jul, 2025 @ 11:56am 
+rep cool match, played smart, we made a good team! 👍
76561199094884738 28 May, 2025 @ 12:07pm 
include me, nice m4a1
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GG WP
🔥Tajinn☀ 16 Mar, 2025 @ 12:37pm 
knows how to win
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sharp and focused, don't forget to add me!