沒有 【加值】龍騰國文 權限，請先開通．

沒有 【加值】龍騰國文 權限，請先開通．

(a) (3%) Calculate the longest wavelength of light that will ionize H atoms in their ground state.

(b) (3%) Assume the atom is ionized by collision with an electron that transfers all its kinetic energy to the atom in the ionization process. Calculate the speed of the electron before the collision. Express your answer in meters per second (m s-¹)

(c) (4%) Calculate the temperature required to ionize a H atom in its ground state by thermal excitation. (Hint: Recall the criterion for thermal excitation of an oscillator in Planck's theory of blackbody radiation is that hv≈kBT, h = 6.626070 x 10-34 m² kg/s and kB= 1.380649 × 10-23 m² kg s² K-¹.

2. (10%) A particle of mass m is placed in a three-dimensional rectangular box with edge lengths 2L, L, and L. Inside the box the potential energy is zero, and outside it is infinite; therefore, the wave function goes smoothly to zero at the sides of the box. Calculate the energies and give the quantum numbers of the ground state and the first five excited states (or sets of states of equal energy) for the particle in the box.

(a) (3%) Write down the de Broglie formula for the wavelength of matter wave and then derive the quantization rule for the electron's angular momentum in a hydrogen atom.

(b) (3%) Calculate the allowed energies of a hydrogenic atom using the hybrid Bohr-de Broglie model.

(c) (4%) The speed of an electron in n=1 orbit can be shown to be given by v = Zac, where α = is the fine structure constant. Since no particle can travel faster than c, the speed of light, what would you expect the atomic number (Z) for the heaviest element that can exist without violating this constraint.

4. (10%) The pyridine molecule (C5H5N) is obtained by replacing one C-H group in benzene with a nitrogen atom. Because nitrogen is more electronegative than the C-H group, orbitals with electron density on nitrogen are lower in energy. How do you expect the p MOs and energy levels of pyridine to differ from those of benzene?

(a) (2%) H-H, H-D, and D-D bonds have about the same bond enthalpy. Evaluate A,H°.

114年 - B1L7 范進中舉#133929

114年 - B2L3 晚遊六橋待月記#133490

114年 - B2L5 丁挽#133487

114年 - B2L6 唐宋詩選#133486

114年 - B3L10 燭之武退秦師#133485

114年 - B3L7 扼口#133484

114年 - B3L8 詞選#133483

114年 - B3L3 兩個孔明的文化玄機#133482

114年 - B2L2 水證據──給河流#133480

114年 - B3L9 新詩選#133478