Quiz #3 Fall 2010
DEPARTMENT OF MINING AND MATERIALS ENGINEERING
MIME 261– Structure of materials 2nd Quiz – October 28, 2010 – Version A
Examiner: Marta Cerruti Instructions 1. The quiz lasts 30 minutes. 2. Make sure you have all pages (total of 13 questions). 3. This is a closed book test. You are allowed to use a calculator. 4. This quiz counts for 5% of the overall grade. 5. Questions that are multiple choice have only one correct answer. 6. Each question can count for 1, 2, or 4 points, as specified. The total number of points is 25. 7. Write your answers on this document. For non-multiple choice questions, please show how you arrived to the answer – you may get partial points even if the final answer is incorrect.
Family name____________________________________________________ (Please print)
Given name(s) ___________________________________________________ (Please print)
Student ID
____________________________________________________
Question 1. What are the possible bidimensional Bravais lattices? (2 points)
Square, Rectangular, Centered rectangular, Oblique, Hexagonal
Question 2. Explain why a pentagon cannot be used as a unit cell to build a bidimensional lattice. (1 point) Because it cannot be repeated indefinitely without overlapping itself and covering the whole plane.
Question 3. How many times larger is the conventional cell used to describe an fcc lattice in comparison with the primitive cell for the lattice? (1 point) 4
Question 4. Which of these materials have the same basis and different lattice symmetry? More than one answer is correct. (2 points) a) Graphite and diamond X b) Graphite and nanotubes X (Graphene and nanotubes in other versions) c) Calcite and aragonite X d) Steam and ice (glass and quartz also wrong) e) Diamond and silicon
Question 5. Consider the planes shown in following figure.
a) What are the Miller indexes for the family of planes these planes belong to? Show your work.
-1, ½, 1 intercepts; -1, 2, 1 reverse => (121)
b) What are the intercepts with the x, y, and z axes for the next plane in the family? Draw the plane too.
(-1, ½, 1 )* 3 = -3, 3/2, 3 are the intercepts with x, y and z respectively.
Question 6. Consider the crystalline structure of graphite:
(Vertical lines are just guides for the eye). Which symmetry elements are present in this structure? More than one answer is correct. a) C4 parallel to the z direction b) C6 parallel to the z direction c) C2 parallel to the z direction d) C3 parallel to the z direction X e) Mirror planes perpendicular to the z direction X f) Mirror planes perpendicular to the y direction X g) Glide planes perpendicular to the z direction X
Question 7. You are given a material to analyze. What could you do to determine if it is crystalline or amorphous? List two possible experiments. a) X-Ray diffraction, and see if it generates a pattern that has specific peaks or not
b) Heat up and see if when it melts there is a sharp transition or not.
Other acceptable answers: TEM, optical microscopy looking for grains.
Question 11. Draw two examples of unit cells on this bidimensional lattice. (2 points)
Question 12. These are the top, side and front views and a 3D view of the unit cell for ReO3.
a) What is the Bravais lattice for this crystal? Simple cubic
b) What are the atoms that compose the basis, and their fractional coordinates?
Re: 0,0,0 O1: ½, 0, 0 O2: 0, ½, 0 O3: 0, 0, ½
MIME 261– Structure of materials 2nd Quiz – October 28, 2010 – Version A
Examiner: Marta Cerruti Instructions 1. The quiz lasts 30 minutes. 2. Make sure you have all pages (total of 13 questions). 3. This is a closed book test. You are allowed to use a calculator. 4. This quiz counts for 5% of the overall grade. 5. Questions that are multiple choice have only one correct answer. 6. Each question can count for 1, 2, or 4 points, as specified. The total number of points is 25. 7. Write your answers on this document. For non-multiple choice questions, please show how you arrived to the answer – you may get partial points even if the final answer is incorrect.
Family name____________________________________________________ (Please print)
Given name(s) ___________________________________________________ (Please print)
Student ID
____________________________________________________
Question 1. What are the possible bidimensional Bravais lattices? (2 points)
Square, Rectangular, Centered rectangular, Oblique, Hexagonal
Question 2. Explain why a pentagon cannot be used as a unit cell to build a bidimensional lattice. (1 point) Because it cannot be repeated indefinitely without overlapping itself and covering the whole plane.
Question 3. How many times larger is the conventional cell used to describe an fcc lattice in comparison with the primitive cell for the lattice? (1 point) 4
Question 4. Which of these materials have the same basis and different lattice symmetry? More than one answer is correct. (2 points) a) Graphite and diamond X b) Graphite and nanotubes X (Graphene and nanotubes in other versions) c) Calcite and aragonite X d) Steam and ice (glass and quartz also wrong) e) Diamond and silicon
Question 5. Consider the planes shown in following figure.
a) What are the Miller indexes for the family of planes these planes belong to? Show your work.
-1, ½, 1 intercepts; -1, 2, 1 reverse => (121)
b) What are the intercepts with the x, y, and z axes for the next plane in the family? Draw the plane too.
(-1, ½, 1 )* 3 = -3, 3/2, 3 are the intercepts with x, y and z respectively.
Question 6. Consider the crystalline structure of graphite:
(Vertical lines are just guides for the eye). Which symmetry elements are present in this structure? More than one answer is correct. a) C4 parallel to the z direction b) C6 parallel to the z direction c) C2 parallel to the z direction d) C3 parallel to the z direction X e) Mirror planes perpendicular to the z direction X f) Mirror planes perpendicular to the y direction X g) Glide planes perpendicular to the z direction X
Question 7. You are given a material to analyze. What could you do to determine if it is crystalline or amorphous? List two possible experiments. a) X-Ray diffraction, and see if it generates a pattern that has specific peaks or not
b) Heat up and see if when it melts there is a sharp transition or not.
Other acceptable answers: TEM, optical microscopy looking for grains.
Question 11. Draw two examples of unit cells on this bidimensional lattice. (2 points)
Question 12. These are the top, side and front views and a 3D view of the unit cell for ReO3.
a) What is the Bravais lattice for this crystal? Simple cubic
b) What are the atoms that compose the basis, and their fractional coordinates?
Re: 0,0,0 O1: ½, 0, 0 O2: 0, ½, 0 O3: 0, 0, ½
