Question

In: Electrical Engineering

1) Within a cubic unit cell on which you have labeled the x, y and z-axes:...

1) Within a cubic unit cell on which you have labeled the x, y and z-axes:

a) Sketch the (110) plane.

b) Sketch a direction from the <100> family that is also on the (110) plane. Label its direction indices.

c) Sketch a direction from the <110> family that is also on the (110) plane. Label its direction indices.

d) Sketch a direction from the <111> family that is also on the (110) plane. Label its direction indices.

2) Make scale drawings of each of the following segments of directions in silicon (lattice constant is 0.543 nm), using circles to represent each of the atoms whose centers are on the segment. The radii of the circles should also be drawn to scale, so that any nearest neighbor atoms touch (if there are any nearest neighbors in that drawing). Place an atom at each end of each segment. Clearly label the separation distance between the centers of each atom on the line segment.

a) A segment 1.086 nm long in the [100] direction.

b) A segment 1.536 nm long in the [110] direction.

c) A segment 1.881 nm long in the [111] direction.

Solutions

Expert Solution

1. Within a cubic unit cell on which we have labeled the x, y and z-axes :

(a) Sketch the (110) plane.

(b) Sketch a direction from the <100> family that is also on the (110) plane. Label its direction indices.

, , , , ,

(c) Sketch a direction from the <110> family that is also on the (110) plane. Label its direction indices.

, , , , ,

(d) Sketch a direction from the <111> family that is also on the (110) plane. Label its direction indices.

, , ,


Related Solutions

If Z is a bernoulli random variable such that point (X,Y) falls within unit circle with...
If Z is a bernoulli random variable such that point (X,Y) falls within unit circle with center (0,0) and given that X & Y are independent uniform random variables with range [-1,1] and X^2 + Y^2 <1. Find the expectation E(Z) and Std. Deviation of Z.
A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes...
A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes multiplied by a unit vector (i, j, k). For such cases, the dot product of two of these fectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails as in {a}⋅ {b} = abcos(theta) The cross product yields another vector, {c} = {a} × {b} , which is perpendicular to the plane defined by...
1. You have a mixture of three proteins X, Y, and Z.        X is positively...
1. You have a mixture of three proteins X, Y, and Z.        X is positively charged, has a mass of 100 kDa, it binds sugars.        Y is positively charged, has a mass of 200 kDa, it does not bind sugars.        Z is negatively charged, has a mass of 100 kDa, it does not bind sugars. What will be the most efficient method to purify protein X from the mixture of X, Y, and Z? A. washing B....
(A) Using a straight edge, sketch the [1̅23̅] direction within a cubic unit cell and label...
(A) Using a straight edge, sketch the [1̅23̅] direction within a cubic unit cell and label start and end points as well as x, y, and z axes. (B) Using a straight edge, sketch the (1̅23̅) plane within a cubic unit cell and label x, y, and z axes as well as the x, y, z axial intercepts. (C) What is the geometric relationship between the (1̅23̅) plane and the [1̅23̅] direction?
(a) Generally, you have four types of unit cell arrangements like 1. Simple cubic 2. Face...
(a) Generally, you have four types of unit cell arrangements like 1. Simple cubic 2. Face centered 3. Body-centered 4. Base centered. Can you calculate the number of atoms in each cubic cell? For example, a simple cubic has 1 atom, base-centered has 2 atoms, body-centered has 2 atoms and face-centered has 4 atoms. Explain how these cubic units 1 – 4 have a specified number of atoms. (b) You have two types of glass solids, both have a cooling...
Which of the following are correct for P(x,y,z)= xyz + x(yz)' + x'(y + z) +...
Which of the following are correct for P(x,y,z)= xyz + x(yz)' + x'(y + z) + (xyz)' ? 1) P(0, 0, 1) = 0 2) P(0, 1, 0) = 1 3) P(0, 0, 0) = 1 4) P(1, 1, 1) = 1 5) P(1, 0, 0) = 0
which would evaluate to false? ((x&&!y ||z) || !z&&x) a. x and y are false b....
which would evaluate to false? ((x&&!y ||z) || !z&&x) a. x and y are false b. x and z are false c. z is false d. x y z are true e. x is false
Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1
Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1
1) Generate a data set with three variables (X, Y and Z). X and Y have...
1) Generate a data set with three variables (X, Y and Z). X and Y have 10 observations for each (N=10), and Z has 13 observations (N=13). Each observation should have two digits (such as “83” or “8.3”). 2) Draw a stem-and-leaf display for variable Z only and draw a box plot display for variable Z after specifying the 5 numbers (UEX, LEX, FU, FL, MD). 3) Calculate the mean and standard deviation for variable X 4) Calculate the mean...
Face Centered Cubic unit cell problem
An element has a face centered cubic unit cell with a length of 352.4 pm along an edge.The density of the element is 8.9 gcm-3.How many atoms are present in 100g of an element?  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT