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Lecture 2




                      Chapter 1 
             The Crystal Structure of Solids




                            
Preview
    
        Our interest : electrical properties and 
        characteristics of semiconductor materials and 
        devices.
    
        Electrical properties of a single­crystal material 
        are determined not only by the chemical 
        composition but also by the arrangement of 
        atoms in the solid.



                                  
SEMICONDUCTOR MATERIALS




                
Compound semiconductor
    
        Binary (two element): GaN, GaP, GaAs
       Ternary (three element) : GaAsP, AlxGa1­xAs
    
        Quaternary (four element) : InGaAsP




                               
TYPES OF SOLIDS
 Characterized by the size of an ordered region within the 
 material. 
 Ordered region is a spatial volume in which atoms or molecules 
 have a regular geometric arrangement or periodicity. 




    Amorphous         Polycrystalline
                                               Single Crystal

        Amorphous materials have order only within a 
        few atomic or molecular dimensions,
    
        Polycrystalline materials have a high degree 
        of order over many atomic or molecular 
        dimensions. 
    
        Single­crystal materials, ideally, have a high 
        degree of order, or regular geometric 
        periodicity, throughout the entire volume of the 
        material. 
    
        The single­crystal regions are called grains and 
        are separated from one another by grain 
        boundaries. 
                                
    
        Advantage of a single­crystal material: superior 
SPACE LATTICES
    
        A representative unit, or group of atoms, is repeated at 
        regular intervals in each of the three dimensions to 
        form the single crystal. The periodic arrangement of 
        atoms in the crystal is called the lattice.
    
        We can represent a particular atomic array by a dot 
        that is called a lattice point.
    
        A unit cell is a small volume of the crystal that can be 
        used to reproduce the entire crystal



                                    
     
Where p, q, and s are integers. Since the 
    location of the origin is arbitrary, we will 
    let p. q, and s be positive integers for 
    simplicity.



                             
Basic Crystal Structures




                
     
Exercise 




         
Crystal Planes and Miller Indices
    
        Since real crystals are not infinitely large, they 
        eventually terminate at a surface. 
        Semiconductor devices are fabricated at or 
        near a surface, so the surface properties may 
        influence the device characteristics.




                                 
Planes and Directions
    1.Find the intercepts of the plane with the crystal axes and express 
      those intercepts as integral multiples of the basis vectors.
    2.Take the reciprocals of the three integers found in step 1 and reduce 
      these to smallest set of integers h, k and l, which have the same 
      relationship to each other as the three reciprocals.
    3.Label the plane (hkl)
    The three integers h, k and l are called Miller indices.
    If an intercepts occurs on the negative branch of an asix, the minus sign 
       is placed above the Miller index for convenience, such as




                                         
     
     

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Ete411 Lec2

  • 1. Lecture 2 Chapter 1  The Crystal Structure of Solids    
  • 2. Preview  Our interest : electrical properties and  characteristics of semiconductor materials and  devices.  Electrical properties of a single­crystal material  are determined not only by the chemical  composition but also by the arrangement of  atoms in the solid.    
  • 4. Compound semiconductor  Binary (two element): GaN, GaP, GaAs  Ternary (three element) : GaAsP, AlxGa1­xAs  Quaternary (four element) : InGaAsP    
  • 5. TYPES OF SOLIDS Characterized by the size of an ordered region within the  material.  Ordered region is a spatial volume in which atoms or molecules  have a regular geometric arrangement or periodicity.    Amorphous  Polycrystalline   Single Crystal
  • 6. Amorphous materials have order only within a  few atomic or molecular dimensions,  Polycrystalline materials have a high degree  of order over many atomic or molecular  dimensions.   Single­crystal materials, ideally, have a high  degree of order, or regular geometric  periodicity, throughout the entire volume of the  material.   The single­crystal regions are called grains and  are separated from one another by grain  boundaries.       Advantage of a single­crystal material: superior 
  • 7. SPACE LATTICES  A representative unit, or group of atoms, is repeated at  regular intervals in each of the three dimensions to  form the single crystal. The periodic arrangement of  atoms in the crystal is called the lattice.  We can represent a particular atomic array by a dot  that is called a lattice point.  A unit cell is a small volume of the crystal that can be  used to reproduce the entire crystal    
  • 8.    
  • 9. Where p, q, and s are integers. Since the  location of the origin is arbitrary, we will  let p. q, and s be positive integers for  simplicity.    
  • 11.    
  • 13. Crystal Planes and Miller Indices  Since real crystals are not infinitely large, they  eventually terminate at a surface.  Semiconductor devices are fabricated at or  near a surface, so the surface properties may  influence the device characteristics.    
  • 14. Planes and Directions 1.Find the intercepts of the plane with the crystal axes and express  those intercepts as integral multiples of the basis vectors. 2.Take the reciprocals of the three integers found in step 1 and reduce  these to smallest set of integers h, k and l, which have the same  relationship to each other as the three reciprocals. 3.Label the plane (hkl) The three integers h, k and l are called Miller indices. If an intercepts occurs on the negative branch of an asix, the minus sign  is placed above the Miller index for convenience, such as    
  • 15.    
  • 16.