Advanced Crystallography& X-Ray Diffraction


Mehrabov Ə.

  • Kursun Səviyyəsi: Doctorate
  • Dizayn edilən dərs kodu: Met E 507
  • Təhsil növü: Formal Education (Day Education)
  • Kursun Məzmunu: Theoric and Application
  • Akademik il: 1997 - 1998
  • Dərsin məzmunu:

    MIDDLE EAST TECHNICAL UNIVERSITY

    Department of Metallurgical and Materials Engineering

     

    Met E 507, Advanced Crystallography& X-Ray Diffraction

    Course Content

     

    I.         INTRODUCTION 

                  - Introduction.

                  - Crystalline and non-crystalline structures.

                  - Symmetry operations.

                  - Space groups.

                  - X-Ray Diffraction 

                                                                                                                             (1 week)

     

    II.        CRYSTAL DIFFRACTION AND THE RECIPROCAL LATTICE

    - The incident beam. Bragg law.

    - Reciprocal lattice. Geometrical structure factor.                          

    - Laue derivation of amplitude of scattered wave.

    - Scattering from lattice of point atoms.

    - Atomic scattering factor or form factor.

    - Temperature dependence of the reflection lines.

                                                                                                                              (2 week)

    III.      ORDER-DISORDER TRANSFORMATION IN SOLID SOLUTIONS

    - Order-disorder phase transformation

    - Long-range order (LRO) in solid solutions

           - LRO in CuZn

           - LRO in CuAu

    - Elementary theory of LRO (homework)

    - Short range order (SRO) in solid solutions

    - Elementary theory of SRO (homework)

                                                                                                                        (2 week)

     

    Homework: Types of ordered crystalline structures in binary alloys and their characterization (L10, L12, L21, B2, DO3, etc.).

     

     IV.       X-RAY STUDIES OF LRO

    - Superlattices

    - Measurement of LRO. Detection of superlattice lines

    - Order in a solid solution whose composition differs from that of the perfectly ordered  

       solution

    - LRO in Cu3Au

                                                                                                                                 (2 week)

     Exp. I: Determination of LRO parameters in Ni3Fe

     

     Midterm I (Project 1)

     

     

     

     

     


     V. METHODS OF ANALYSIS FOR DIFFUSE X-RAY SCATTERING MODULATED LOCAL ORDER AND ATOMIC DISPLACEMENTS

    - Order modulated diffuse scattering

    - Atomic-displacement modulated diffuse scattering

    - Recovery of order and atomic-displacement coefficients from the diffuse intensity.

    - Application of theory to powder samples

    - Intensity expression for Huang diffuse scattering

    - Conversion of intensity measurements to absolute units.

    - Corrections for background intensities:

    a) Fluorescence and submultiple wavelength diffractions,

    b) Parasitic scattering,

    c) Compton scattering,

    d) Temperature-diffuse scattering

    - Precautions in crystal preparation and surface contamination

                                                                                                                                  (2 week)

     

     Exp. II: Determination of SRO parameters in Ni3Fe

     

     Midterm II (Project 2)

     

     

     

     


     

    VI. LOCAL ORDER IN AMORPHOUS MATERIALS

    - Introduction

    - Analysis of X-ray intensity data from amorphous materials

    - Experimental procedures

    - Experimental error

                                                                                                                         (2 week)

     

    Exp. III: Local order in Glassy Materials

     

    VII. Correlation of atomic LRO and SRO with mechanical properties alloys.  

    - Introduction

    - Hardening due to LRO and SRO

    - Work hardening of long-range ordered alloys

    - Strain aging of ordering alloys

    - Creep of ordered alloys

                                                                                                                           (2 week)

     

     VIII. Effects of atomic LRO and SRO on electrical, magnetic, optical and thermal properties

              of crystalline and non-crystalline materials.

                                                                                                                          (1 week)

     

    REFERENCES:

    1. Myeongkyu Lee, X-Ray Diffraction for Materials Research: From Fundamentals to Applications,

        CRC Press, Taylor & Francis, USA, 2016

    2. Weiss, R.J., Solid State Physics for Metallurgists, Pergaman Press, Oxford, 1963.

    3. Sinnott, H.J., The Solid State for Engineers, John Wiley and Sons, N.Y. 1958.

    4. James R. W. Optical Princip1es of the Diffractions of X-Ray, G. Bell and Sons, London, 1950.

    5. Warren B.E., X-Ray diffraction, Addisson-Wesley Pub. , Comp, Massachusetts, 1969.

    6. Guinier A. , X-Ray diffraction in crystals, Imperfect Crystals, and Amorphous Bodies, W.H.

         Freeman and Comp., San Francisco, 1963.

    7. Wooster W.A, Diffuse X-Ray Reflections from Crystals, Clarendon Press, Oxford, 1962.

    8. Local Atomic Arrangements Studied by X-Ray Diffraction, Metallurgical Society Conferences,   

       Vol. 36, Edited by Cohen J.B. and Hilliad J.E, N.Y., 1966.

    9. Alloying Behavior and Effects in Concentrated Solid Solutions, Metallurgical Society

        Conferences, Vol.29, Edited by Massalski T.B., N.Y., 1965.

    10. Cohen J. B., Diffraction Methods in Materials Science, Macmillan Comp., N.Y. 1966.

    11. Barett C. and Massalski, Structure of Metals, McGraw-Hill, N. Y., 1966.

    12. Azaroff L.V., Elements of X-Ray Crystallography, McGraw-Hill, N.Y., 1968.

    13. Azaroff L.V. and Donahue D.R.J., Laboratory Experiments in X-Ray Crystallography, McGraw-

           Hill, N. Y., 1969.

    14. Kelly A. and Groves G.W., Crystallography and Crystal Defects, Addison-Wesley, Mass., 1970.

    15. Woolfson M.M., An Introduction to X-ray Crystal1ography, Univ. Press, Cambridge, 1970.

    16. Wilson A. J. C., Elements of X-ray Crystallography, Addison Wesley Mass., 1970.

    17. Phillips F.C., An Introduction to Crystallography, Wiley, N.Y., 1972.

    18. Tairao Shuji, ed., X-Ray Studies on Mechanical Behaviors of Materia1s, Soc. of Mat. Sci.,

          Kyoto, Japan, 1974.

     

    Schedule: Monday, 13:40 - 17:30, B-208

    Grading:

    Project I         : 15%

    Project II        : 15%

    Project III      : 20%

    Homework     : 10%

    Attendance     : 5%

    Final Exam    : 35%