作者n0204159 (黃黑人)
看板TransBioChem
標題[化學] 96台大轉考普化A 第6題
時間Sat Dec 13 11:33:14 2008
For hydrogen-like atoms the wavefunctions for the 1s and 3s orbitals are
Ψ(1s)=π^-1/2(Z/ao)^3/2 e^-σ
Ψ(3s)=(3^-9/2) π^-1/2(Z/ao)^3/2(27-18σ+2σ^2)e^-σ/3
in which σ=Zr/ao,ao=5.29x10^-11m
(a) determine the radius of the most probable radial probability of the 1s
state
(b) calculate the position of the nodes for the 3s states
(c) calculate the relative probability ratio of finding the eletron between
1s and 3s states centered at the nucleus (ie. the origin position)
(d) for the 1s and 3s states,calculate their relative probability ratio of
finding the electron in a shell located at a radius distance of 300pm
請各位高手為不才解惑
謝謝!!
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1F：推 glass564:我這裡有我自己寫的解答 這題要用薛丁格 12/14 10:23
2F：→ glass564:光這題我當時就想了一個多小時 12/14 10:24
3F：→ n0204159:那可以請你把解答打上來嗎? 一個多小時...那你時間夠嗎? 12/14 10:40
4F：推 yang770610:r=a0/z σ=7.1 or 1.9 01/07 21:05