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1. For each of the (100). (110), and (111) planes, state all of the < 100...
For a cubic system, list all the unique planes that compose the (110) family of planes and beside each indicate the alternate Miller indices for that plane (started for you). Unique Planes Alternate Miller Indices
Two pairs of directions are given in a cubic crystal system: [100]-[121] and [011]-[111]. * Compute the Miller indices of the planes formed by each pair of directions. * What is the direction common to those two planes? * Repeat the exercise for a triclinic crystal system with lattice parameters {1,2,3,40,60,80}.
Under a tensile stress of 1,000MPa along the <111> direction, the center-to-center atomic separation distance along this direction in body-centered-cubic iron is 0.2489 nm. Given that the radius of iron atoms is 0.124 nm, calculate the modulus of elasticity along this direction (7 points)
Consider Miller Indices. If you consider two arbitrary directions [hj k1 1] and [h2 k2 /2], the angle between them is given by the following formula: 122 Given that calculate the angle between two planes [100] and [111]. (Hint: directions are normal (perpendicular) to a plane. Show thatio0) and (010) planes are perpenrt eah.
1. Determine the voltage across the diode for 1<R<100 Ohms and plot the results. V d FBV-0.7 5Ω
For a given reaction, AH is 111 kJ and AS is -249 J/K. At what temperatures is the reaction spontaneous? A. T< 446 K B. None. The reaction is never spontaneous. C. The reaction is spontaneous at all temperatures. D.T> 73 K E.T>446 K
Simple Cubic (SC) Structure 1. Write the Miller indices for the family of close-packed directions in the SC crystal. <hkl>= 2. Write the expression for theoretical density of a material with SC structure in terms of atomic radius (R), atomic weight (A), and Avogadro's number (NA). (Show your work.) 3. Calculate the planar density for the most densely packed SC planes in terms of atomic radius (R). (Show your work.) PD Body-Centered Cubic (BCC) Structure 4. How many non-parallel close-packed...
One characteristic measured about high schools is the percent
free lunch, which is the percentage of the student body that is
eligible for free and reduced-price lunches. The top 100 schools,
grouped according to their percent free lunch, is as follows.
Percent free
lunch (x)
Number of top
100
ranked high schools
46
20
12
10
12
If stratified random sampling with proportional allocation is
used to select a sample of 25 high schools, how many would be
selected...
Describe the splitting of a/2 <110> 60 degree dislocation in Al into Shockley partials. Calculate the width of stacking faults for these dislocations in Al, assuming the stacking fault energy to be 100 ergs cm' and shear modulus 2.65x10''dynes cm'.
please state which theorm has been used, write clearly and use
visual if possible.
(c) = el z fle"), on dt = 0, if f(w) is analytic for \w\< 1 + 8 the Poisson Kernel* 1. Verify each of the statements (a) through (e) below for z = reie and r < 1. lettel 1 - 72