The following is a photomicrograph of the surface of a polished and etched polycrystalline specimen of an iron-chromium alloy with the grain boundaries revealed as dark lines. Determine: (i) the mean intercept length (7) of the grains in millimeters, and (ii) the ASTM grain size number, G. (For part (i), use at least seven straight line segments for the determination. Also, use the scale bar to estimate the magnification at which this photomicrograph was taken). Figure 4.15 (b) from Callister & Rethwisch 100 μm

The following is a schematic micrograph that represents the microstructure of some hypothetical metal. 100 μη Determine the following: (a) Mean intercept length (b) ASTM grain size number, G

[X-ray diffraction] The first four peaks of the x-ray diffraction pattern for copper is shown below. It was taken usinga monochromatic radiation having a wavelength, λ. Copper has an FCC structure. Answer the following questions.(1) Specify indexes (i.e., (h k l)) for four peaks; peak 1, peak 2, peak 3 and peak 4. (2) The 2θ values for four peaks are given below. Determine the interplanar spacing (dhkl) for peak 1 and peak 2. (3) Determine the atomic radius (R) for peak 1 and peak 2. Use n = 1; λ = 0.1542 nm

Determine the ASTM grain size number if 25 grains square inch are observed at a magnification of 50.

If 32 grains per square inch are measured at a magnification of 800x in a hypothetical metal's micrograph, Determine the ASTM grain size number. Round-off to the nearest whole number. How many grains would there be per square inch if the magnification is 200x? Round-off to the nearest whole number.

For the images shown below, which Miller indices for crystallographic planes are included? lu C. Z Select one or more: a. (111) b. (230) (211) d. (110) e. (100) b y X a/2 Z b Z 2b/3

Help me please

Sketch the following planes and directions within a cubic unit cell: Describe the procedures for both of the direction and the plane. (a) [110] (b) [221] (c) [410] (d) [012] (e) [321] (f) [111] (g) (111) (h) (011) (i) (030) () (121) (k) (113) (1) (071)

A metal having a cubic structure has a density of 2.6 g/cm3, an atomicweight of 87.62 g/mol, and a lattice parameter of 6.0849Unexpected text node: One atom is associated with each lattice point.Determine the crystal structure of the metal.

22. Write the Miller Indices for the following planes. ja2 a3 a3 Families of Directions/Planes: 23. In the table at right, write the direction indices for each face diagonal direction pictured below. In the adjacent column, write the indices for the direction that points exactly opposite to the one pictured. Indices Opposites A E E, F A В X 24. Note that the directions you listed above comprise the entire family in the cubic system, corresponding to the face diagonal directions. Based on the pattern you notice in the sets of indices, write below the entire set of direction indices for the family: