The basic building blocks of Crystalline state‏ ‏ Crystal Structure ‘Basis and Lattice ’ The basic building blocks of Crystalline state‏ ‏ Author Sachin Patil Title of the concept

Objectives: After interacting with this Learning object; you will be able to: Identify crystal structure formed given a lattice and a basis. Title of the concept

Master layout or diagram INSTRUCTIONS SLIDE 1 Master layout or diagram Make a schematic diagram of the concept Explain the animator about the beginning and ending of the process. Draw image big enough for explaining. In above image, identify and label different components of the process/phenomenon. (These are like characters in a film)‏ Illustrate the basic flow of action by using arrows. Use BOLD lines in the diagram, (minimum 2pts.)‏ In the slide after that, provide the definitions of ALL the labels used in the diagram 2 3 4 5

Master Layout (Lattice)‏ 1 FIG 1: 2 3 Lattice 4 5 5

1 Master Layout (Basis )‏ 2 3 Basis 4 5 (a)‏ (b)‏ (c)‏ (d)‏ FIG 2: A list of basis 2 (a)‏ (b)‏ 3 Basis (c)‏ (d)‏ 4 5 6 6

Master Layout (Crystal structure)‏ FIG 3: Crystal structures formed with lattice (fig1) and basis (fig2) (c)‏ (a)‏ (b)‏ (d)‏ Each crystal structure refers to its respective basis fig 2

2 Master Layout (Crystal Structure [lattice +basis]) 1 3 4 5 FIG 4: Crystal structure formed Basis 3 4 5 8 8

2 Master Layout (Crystal Structure [lattice +basis]) 1 3 4 5 FIG 5: Crystal structure formed Basis 3 4 5 9 9

2 Master Layout (3D 2 layers Crystal Structure [lattice +basis]) 1 3 4 FIG 6: 3 2 layer lattice Basis 1 Basis 2 4 Basis 3 Basis 4 5 10 10

2 Master Layout (3D 3 layers Crystal Structure [lattice +basis]) 1 3 4 FIG 7: 3 3 layer lattice Basis 1 Basis 2 4 Basis 3 Basis 4 5 11 11

1 Definitions of the components: 2 3 4 5 Basis Lattice Group of atoms is called ‘Basis’ Basis may consist of single atom or a group of atoms. Lattice Lattice is a regular periodic array of points in space. ‘Lattice’ can be assumed as a series of points (which can go up to infinity) in two dimension space. The arrangement of points about a given point is identical with that about any other point. 2 3 4 5 12

1 Definitions of the components: 2 3 4 5 Crystal Structure When Basis (group of atoms) is repeated in space, it forms a ‘crystal structure’. In other words, the structure of all crystals can be described in terms of a lattice, with a group of atoms attached to every lattice point. 2 3 4 5 13

Stepwise description of process 1 The goal of the IDD is to provide instructions to an animator who is not a expert. You have to describe what steps the animator should take to make your concept come alive as a moving visualization. Use one slide per step. This will ensure clarity of the explanation. Add a image of the step in the box, and the details in the table below the box. You can use any images for reference, but mention about it's copyright status The animator will have to re-draw / re-create the drawings Add more slides as per the requirement of the animation 2 3 4 5

3 Interactivity Step 1: 1 2 4 5 Crystal structure Basis Lattice 1‏ 2‏ Chosen basis 3 3 4 Interactivi ty type and action Options Boundar y limit Feedback Results Single selection Drop down for options to be chosen by the learner Choose any one basis and click on the correct crystal formation: (a) (b) (c) (d) The lattice appears after the basis is chosen and the crystal structures with it along with plus and equal too sign ------ Wrong answer chosen then “ Look carefully at the basis and the crystals structure and try again!” Correct answer “ try another basis” Basis (a) correct answer 1 Basis (b) correct answer 2 Basis (c) correct answer 3 Basis (d) correct answer 4 4 5

Description of the action 1 Step 2: List of basis Lattice 2 (a)‏ (b)‏ 3 (c)‏ Action Description of the action Audio Narration Choose any one basis fro the given list of basis to see the crystal structure formation Click on the basis the others disappear and the animation begins. Once the learner chooses any one basis from the list of basis the result for (a) (b) (c) and in fig 3 in the master layout. The basis is shown coming one by one on each point. After animation with one is over other three appear then other two till all basis are shown. Every point in lattice can hold only one basis set of the same type. The selected basis is repeated at all the points throughout the lattice 4 5

Description of the action 1 Step 3: List of basis 2 (a)‏ (b)‏ 3 (c)‏ 2 layers 3 layers 4 Action Description of the action Audio Narration 1. Click on the 3 dimensional lattice layer of your choice. 2. Next click to select any one basis to see the crystal structure formed. 3. Now choose another basis Only choice in layer appears with the action 1. Then click on the basis of their choice with action 2. After the choice the crystal structure for that basis and that layer is shown with the basis replacing the grey circles on the lattice one by one. (ref fig 6&7) Action 3. appears and learner is asked to chose another basis till all are over with the lattice Similar type 2D layers contribute to 3D Crystal Structure (with constant distance between them). 5

Description of the action 1 Step 4: List of basis 2 (a)‏ (b)‏ 3 (c)‏ 2 layers 3 layers 4 Action Description of the action Audio Narration 1. Now choose another lattice. 2. Now click on any of the basis to see the crystal structure formed. 3. Choose another basis. Only choice in layer appears with the action 1 (with only other layer lattice clickable) Then click on the basis of their choice with action 2. After the choice the crystal structure for that basis and that layer is shown with the basis replacing the grey circles on the lattice one by one. (ref fig 6&7) Action 3. appears and learner is aske dto chose another basis till all are over with the lattice Similar type 2D layers contribute to 3D Crystal Structure (with constant distance between them). 5 18

3 Interactivity Step 5: 1 2 4 5 Lattice Basis: Lattice ref to fig 6-7 Result ref to fig 6-7 3 Interactivit y type and action Options Feedback Boundary limits Results Single selection Drop down for the basis and lattice layer options Select the basis and lattice layer of your choice and then click on the correct crystal structure: Basis: (a) (b) (c) Lattice: 2 and 3 layer lattice fig 6-7 Wrong answer chosen then “ Look carefully at the basis and the crystals structure and try again!” Correct answer “ try another basis” No of Lattice layers 2 – 3 refer to (fig 6-7) Only three basis All the three (a, b, and c) crystal structures appear depending on layer chosen: If 2 layers chosen then fig 6 crystals structures for basis 1, 2 and 3 appear. Same is with 3 layer lattice. Basis (a) correct answer 1 for each layer Basis (b) correct answer 2 for each layer Basis (c) correct answer 3 for each layer Refer to fig (6-8) 4 5

3 Interactivity Questions Step 6: 1 2 4 5 Lattice Crystal structure Basis 2 Show the chosen basis 3 Interactivity type and action Options Feedback Boundary limits Results Drop down Choose the basis that forms the crystal structure for the given lattice. Feed back for wrong answer: “Look care full at the crystal structure and try again.” Feed back for wrong answer: “Congratulations you have got it right proceed to the next question.” One lattice only One crystal structure a., c., d. are wrong answers: b is the correct answer 4 (a)‏ (b)‏ (c)‏ 5 (d)‏ 20

3 Interactivity Questions Step 7: 1 2 4 5 Lattice Crystal structure Basis c. 2 b. 3 Interactivit y type and action Options Feedback Boundary limits Results Drop down Change the lattice. Given the basis and the new lattice what is the crystal structure formed? Option: triangle lattice Show this fig Feed back for wrong answer: “You are incorrect, follow the link to see the animation.” (give the link for the triangle IDD) Feed back for wrong answer: “Congratulations you have got it right confirm your answer and follow the link to see the animation.” One lattice only One crystal structure a., c., are wrong answers: b is the correct answer 4 5 21

Animation design 1 Please see the design template provided in the next slide. This is a sample template, and you are free to change as per your design requirements. Try and recreate the sections/subsections as shown in the template. 2 3 4 5

Formula with derivation Test your understanding Credits What will you learn 2 Layer 3 Layer Play/pause Restart Basis Lattice Lets Learn! Interactivity options Sliders(IO1)‏ / Input Boxes(IO2)‏ /Drop down(IO3)‏ (if any)‏ Definitions Concepts Assumptions (if any)‏ Formula with derivation (if any)‏ Animation Area Graphs/Diagram (for reference)‏ Test your understanding (questionnaire)‏ Lets Sum up (summary)‏ Want to know more… (Further Reading)‏

Interactivity and Boundary limits 1 Interactivity and Boundary limits In this section, you will add the ‘Interactivity’ options to the animation. Use the template in the next slide to give the details. Insert the image of the step/s (explained earlier in the Section 3) in the box, and provide the details in the table below. The details of Interactivity could be: Types: Drop down, Slider bar, Data inputs etc. Options: Select one, Multiple selections etc Boundary Limits: Values of the parameters, which won’t show results after a particular point Results: Explain the effect of the interaction in this column Add more slides if necessary 2 3 4 5

3 Interactivity : 1 2 4 5 Interactivity type and action Options Feedback Boundary limits Results For interactivity refer to slide no 15 and 19 step No 1 and 5 4 5 25

Links for further reading Reference websites: www.wikipedia.com Books: Solid State Physics – A J Dekker Introduction to Solid State Physics – Charles Kittel Solid State Physics – Ashcroft / Mermin 26

Title of the concept Summary: Every point in lattice can hold only one basis set of the same type. The selected basis is repeated at all the points throughout the lattice. Similar type 2D layers contribute to 3D Crystal Structure (with constant distance between them). Title of the concept