课程名称︰普通化学一 课程性质︰大一必修 课程教师︰陆骏逸 开课学院：理学院 开课系所︰化学系 考试日期（年月日）︰106年11月10日 考试时限（分钟）：2小时 试题 : 1. (12pts) Write down the chemical formulas of the following compounds: (a) Sodium chromate (b) Lithium hydride (c) Potassium hydrogen sulfate (d) Gallium oxide 2. (9pts) Write down the names of the following compounds: (a) CsClO3 (b) Mg(NO3)2 (c) Ca(ClO4)2 3. (9pts) Draw the Lewis electron dot diagrams of the following species. Indi- cate the resonance diagrams when applicable. (You can use the valence shell expansion for the central atom.) (a) SCN^- (b) PCl6^- (c) HCO3^- 4. (15pts) A helium atom is excited to have the configuration 1s^1 2s^1. In terms of the hydrogen-like wave function φ1s(r) and φ2s(r), write down the space part of the two electron wave function for the singlet and the triplet separately. Which one has the lower energy? and why? 5. (15pts) A particle of mass m is confined in a 2D rectangular box where the length ration is Ly/Lx=4/3. Inside the box, the potential energy is 0, whereas outside the box the potential energy is infinite. Find the four quatum states with the lowest energies. Write down their energis and the wave functions. 6. (15pts) Show that the 2p orbital ψ(r)=C(x-iy)exp(-r/2a0) is the eigenfunt ︿ δ δ -ion of the operator Lz=-i(h-bar)x——+i(h-bar)y——. What is its eigenvalue? δy δx ︿ δ δ Is it the eigenfuction ofLx=-i(h-bar)y——+i(h-bar)z——? δz δy 7. (15pts) Given the 2p wave functions φ2px(r)=Cxexp(-r/2a0),φ2py(r)=Cyexp( -r/2a0), φ2pz(r)=Czexp(-r/2a0) where C is a constant, and ao is the Bohr radi- us, show that when six electrons fill in the three orbitals, the electron dens- ity will have the spherical symmetry. 8. (20pts) Consider the molecular orbital of HF moleculeψMO(r)=N(CAφA(r)+ CBφB(r)), whereφA(r)is the 1s of H atom, andφB(r) is the 2pz of F atom. Suppose that HAA=-13.6eV, HBB=-17.4eV, HAB=-1eV, S～0. Solve the energies and the coefficient ratios CB/CA for the two MOs. 9. (15pts) Describe the bonding in the bent molecule NF2. Predict its energy level diagram and electron eonfiguration. 10. (15pts) Draw a Lewis electron dot diagram for each of the following molec- ules and ions. Formulate the hybridization for the central atom in each case and give the molecular geometry. (a)CO2 (b)PH3 (c)BeH2 --

※ 发信站: 批踢踢实业坊(ptt.cc), 来自: 140.112.236.204 ※ 文章网址: https://webptt.com/cn.aspx?n=bbs/NTU-Exam/M.1510324890.A.58B.html