110年 - 110 國立臺灣科技大學_碩士班招生試題_材料科學與工程系(丙組)：材料導論#105562

(1) Draw the a₀-T plot (lattice constant vs. tempcrature) for the γphase between T₁ and T₄, assuming that the thermal expansion coefficient of γis 0/℃. (5%)

(2) Calculate the weight fraction of the γ phase at T₄ (ust above 727℃). (5%)

(3) Draw the microstructure for the carbon-steel alloy at T₄ and T₅ and indicate all the phases present in the drawings.(5%)

(4) Describe the differences between the words eutectic and eutectoid. (5%)

(1) Draw the concentration profile C(x) for the Constant Surface Concentration Diffusion at an arbitrary time t₁. Compare the diffusion fluxes at positions x₁ and x₂where x₁ ＜x₂. (5%)

(2)Compare the mechanisms and activation energies for the carbon diffus iron and the nickel diffusion in fcc iron. (5%)

(1) Compare the velocity of light in air and in a piece of glass. Also compare the sound velocity in air and in glass. (5%)

(2) The refractive index of cubic zirconia is 2.1. Calculate the critical angle for Total Internal Reflection of cubic zirconia in air. Also calculate the reflectivity of cubic zirconia in air. (5%)

(1) Draw the band diagram for an n-type semiconductor and indicate energy levels in the drawing. (5%)

(2) Draw the In σ -1/T plot for an n-type semiconductor over a wide range of temperature, where the o is electrical conductivity. Correlate the slopes in the drawing with the band gap or energy levels. (5%)

(1) Please provide the definitions of Frenkel defect (5 %) and Schotky defect (5 %).

(2) Use MgO as an example material to draw the corresponding images for Frenkel defect and Schottky defect (10%)

(1) compute the interplanar spading (d-spacing) for the (111) and (311) planes and (5 %)

(2) the two estimated lattice parameter values according to (111) and (311) planes (5%).

(3) Which value (from (111) or (311)) is more precise? (2 %) and Why? (3%).

(1) Please determine the minimum length of surface cracks for this alloy and ceramic. Assume the value of 1.5 for Y dimensionless constant (10%).

(2) Which crack is longer and why (5 %)?

110年 - 110 國立臺灣科技大學_碩士班招生試題_材料科學與工程系(丙組)：材料導論#105562

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