[普化] The particle in a box 的問題

[appleM (天空不要為我掉眼淚)]

我 還是有點弄不懂 "The particle in a box"
像是下面的兩個題目 我不太清楚在問什麼
希望有人可以告訴我

For a particle in a cubic box, how many degenerate energy levels have
energy equal to 14h^2/8mL, in which L s the lenth of the cubic box.
(a)1 (b)2 (c)6 (d)8 (e)12


(a)Discuss what happens to the energy levels for an eletron trapped in a
   one-dimensional box as the length of the box increases.
(b)Which has the lowest(ground-state) energy, an eletron trapped in a one-
   dimensional box of the length 10^(-5) or one with length 10^(-10)?

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另外還有一題 我不太清楚題意
What is the maximum number of electron in an atom that can have the
quantum number of n=3, l=2?

 n=3, l=2 指的是 3d軌域
 題目的意思是說3d軌愈能容納多少電子嗎? (10個)
 還是說有3d軌域的原子總共可以容納多少電子? (1s2s2p3s3p4s3d, 30個)

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作者: riance (小羊) 看板: TransBioChem
標題: Re: [普化] The particle in a box 的問題
時間: Tue Apr  5 13:02:51 2005

※ 引述《appleM (天空不要為我掉眼淚)》之銘言：
: 我 還是有點弄不懂 "The particle in a box"
: 像是下面的兩個題目 我不太清楚在問什麼
: 希望有人可以告訴我
: For a particle in a cubic box, how many degenerate energy levels have
: energy equal to 14h^2/8mL, in which L s the lenth of the cubic box.
: (a)1 (b)2 (c)6 (d)8 (e)12
En=(nx^2+ny^2+nz^2)h^2/8mL^2
nx,ny,nz 可以是(1,2,3) 再去排列組合一下 有6個 選c
: (a)Discuss what happens to the energy levels for an eletron trapped in a
:    one-dimensional box as the length of the box increases.
能量會降低 根據En=n^2h^2/8mL^2 L變大En會下降
: (b)Which has the lowest(ground-state) energy, an eletron trapped in a one-
:    dimensional box of the length 10^(-5) or one with length 10^(-10)?
直接帶進去上面那個En的公式 基態的話n代1
所以說10^-5的基態能量會比較小
: -------------------
: 另外還有一題 我不太清楚題意
: What is the maximum number of electron in an atom that can have the
: quantum number of n=3, l=2?
:  n=3, l=2 指的是 3d軌域
:  題目的意思是說3d軌愈能容納多少電子嗎? (10個)
:  還是說有3d軌域的原子總共可以容納多少電子? (1s2s2p3s3p4s3d, 30個)
我覺得應該是total吧

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推 fierybear:最後一題我也贊成total
推 appleM:我也這麼覺得　可是選項只有36,18,10,25
→ appleM:所以我在想是不是指3d軌域
推 wilson1000:3d啦