課程名稱︰普通化學丙
課程性質︰系定必修
課程教師︰周必泰
開課學院：醫學院/電資學院
開課系所︰醫學系/牙醫學系/電機系
考試日期（年月日）︰103/10/23
考試時限（分鐘）：30min
試題 :
General Chemistry 普通化學丙 Quiz 1 (60 pionts)
1.Definition and explanation(50)
(a)degenerate state(5)
(b)hydrogen like atom (5) , eigenvalue (5) , Hamitonian operator (5)
(c)Please give the full name of "SCF" method (5). Also please briefly describe
this method (10)
(d)Based on the definition of Fermion to explain Pauli Exclusion Principle (5)
(e)Briefly derive the energy-time related Heisenberg uncertainty principle
_ _
△E △t ≧ h / 2 from the position-momentum relationship △x △p ≧ h / 2 ,
where △E , △t , △x , and △p are uncertainty in energy , time , position
and momentum , respectively. (10)
2.Write down the orbital (n , l , ml and symbol)that corresponds to the following
wavefunctions. (10)
√2 Z
φ= ──────｛(───)^(3/2)｝(6σ - σ^2) e^(-σ/3) cosθ
81√(π) a
1 Z
φ= ──────｛(───)^(3/2)｝(27-18σ+2σ^2) e^(-σ/3)
81√(3π) a
3.Write down (both symbol and full name in English) for elements with atomic
number form 1-10 (20) and first row transition metal (atomic number 21-30) (20)