What is the probability that an electron in the ground state of H is inside the nucleus? a) Calculate first the exact answer assuming that the wave function(image indexed)is correct in the limit r = 0. Let us denote by b the radius of the nucleus b) Expand your result into a power series in terms of the factor ϵ = 2b/a (which is very small) and show that the lowest order term is P ≈ (4/3)(b/a) c) Calculate P with the values b ≈ 10−15m and a ≈ 0.5 × 10−10m. Roughly, this represents the fraction of time that the electron is inside the nucleus.
What is the probability that an electron in the ground state of H is inside the nucleus? a) Calculate first the exact answer assuming that the wave function(image indexed)is correct in the limit r = 0. Let us denote by b the radius of the nucleus b) Expand your result into a power series in terms of the factor ϵ = 2b/a (which is very small) and show that the lowest order term is P ≈ (4/3)(b/a) c) Calculate P with the values b ≈ 10−15m and a ≈ 0.5 × 10−10m. Roughly, this represents the fraction of time that the electron is inside the nucleus.
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ISBN:9780133923605
Author:Robert L. Boylestad
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What is the probability that an electron in the ground state of H is inside the nucleus?
a) Calculate first the exact answer assuming that the wave function(image indexed)is correct in the limit r = 0. Let us denote by b the radius of the nucleus
b) Expand your result into a power series in terms of the factor ϵ = 2b/a (which is very small)
and show that the lowest order term is P ≈ (4/3)(b/a)
c) Calculate P with the values b ≈ 10−15m and a ≈ 0.5 × 10−10m. Roughly, this represents the fraction
of time that the electron is inside the nucleus.
Transcribed Image Text:V100 (r, 0, ø)
1
:e~r/a
Vra3
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