课程名称︰普通化学丙
课程性质︰系定必修
课程教师︰周必泰
开课学院：医学院/电资学院
开课系所︰医学系/牙医学系/电机系
考试日期（年月日）︰103/10/23
考试时限（分钟）：30min
试题 :
General Chemistry 普通化学丙 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)