课程名称︰普通化学甲〈上〉 课程性质︰物理系大一必带 课程教师︰陆骏逸 开课学院：理学院 开课系所︰物理系 考试日期（年月日）︰98/11/11 考试时限（分钟）：130分钟 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.(24pts)Write down the Lewis structures, assign the formal charge, and predict the geometries of the following ions. Do they have the electric dipole moments? (a) (S2O3)^2- (b) (NO3)^- (c) (BrO2)^- (d) H2CSO 2.(8pts)Write down the chemical formula of the following compounds. (a) Ammonium carbonate (b) Magnesium chromate (c) Potassium permanganate (d) Sodium peroxide 3.(9pts)Write down the names of the following compounds. (a) Ca(CN)2 (b) NaHCO3 (c) Hg2SO4 4.(20pts)Given the time-dependent Schrodinger equation of a particle in the potential well 0≦x≦2π ∂ -1 ∂^2 i---Ψ(x,t) = --- ----- Ψ(x,t) ∂t 2 ∂x^2 where for simplicity we have set h/2π =1 and m=1. Outside the well, the potential is very high (infinite). (a) At t=0, the wave function is known as Ψ(x,t=0)=N(sin(x/2)-sinx) where N=(2π)^-0.5. Plot the wave function. (b) Calculate the averaged energy at t=0. (c) Obtain and plot the wave function at the later time t=8π,t=16π and t=24π. 5.(20pts)Explain the relation between the two Schrodinger equations. When will you use the time independent Schrodinger equation? 6.(20pts)Consider the 2D problem where the electron is in an in finite potential well. The potential is zero within the region 0≦x≦Lx and 0≦y≦Ly, where Lx=(2/3)Ly. Find the five solutions of the time-independent Schrodinger equation which have the lowest energies. 7.(20pts)Draw the suitable pictures to illustrate the following atomic orbitals. a0≒0.5Åis a constant. (a) φ~(r-2a0)e^(-r/2a0) (b) φ~xe^(-r/2a0) (c) φ~(3y^2-r^2)e^(-r/3a0) (d) φ~(x^2-z^2)e^(-r/3a0) --

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