CONTENTS OF Phd THESIS:

Gábor VARGA

Computations of thermal energy atomic scattering from solid surfaces by hard corrugated wall model (1993)



 
 
 

Preface ...................................................................................................................i-iv
 

1. Thermal energy atom solid surface scattering (TEAS).........................................................................

1.1 Introduction ........................................................................................................................1

1.2 The experimental setup .........................................................................................................1

1.2.1 Atomic beam sources ..............................................................................................2

1.2.2 Skimmer ..................................................................................................................4

1.2.3 Detectors ................................................................................................................4

1.2.4 Atomic beam modulations .......................................................................................5

1.2.5 Target positioning ...................................................................................................5

1.2.6 Process of experiment ..............................................................................................5
1.3 Surface preparation .............................................................................................................6
1.4 Attenuation of diffraction peaks ...........................................................................................7
1.4.1 Transferring width ...................................................................................................8

1.4.2 Maximal order of diffraction peak ............................................................................9
1.1 - 1.4 figures .......................................................................................................................11

1.5 References .........................................................................................................................15
2. The physical models of TEAS.........................................................................................................................................................
2.1 Introduction ......................................................................................................................17

2.2 Classical models ................................................................................................................18

2.2.1 Linear harmonic oscillator model ...........................................................................18

2.2.2 Hard cubic model ..................................................................................................19

2.2.3 Soft cubic model ....................................................................................................20
2.3 Quantum mechanical models ..............................................................................................20

 
 
2.3.1 Periodic time independent potential .......................................................................20

2.3.2 More general interaction potential .........................................................................23
2.1a figure . .....................................................................................................................24

2.1b figure .......................................................................................................................25

2.4 Semiclassical models ..........................................................................................................26

2.5 Thermal attenuation in the case of TEAS ...........................................................................29


 
 
2.5.1 The Debye-Waller factor (DWf) ............................................................................30

2.5.2 The models of DWf ...............................................................................................30

2.5.3 Determination of DWf by experiment ...................................................................36
2.6 The role of hard corrugated wall model (HCW) in description of TEAS .............................37

2.7 References .........................................................................................................................39
3. THE HARD CORRUGATED WALL MODEL (HCW)....................................................................................................................
3.1 Simple hard corrugated wall model calculations .................................................................42

 
 
3.1.1 Introduction ..........................................................................................................42

3.1.2 The HCW model and the GR method ....................................................................43

3.1.3 GR calculations and the convergence ................................................................... .47

3.1 figure ...........................................................................................................................49

3.1.4 Conclusion ............................................................................................................51
3.2 Atom scattering computations by hard corrugated wall  model
in the case of symmetrical experimental setups ....55
3.2.1 Introduction ..........................................................................................................55

3.2.2 Symmetrical experimental setup .............................................................................55

3.2.2 Geometrical description of symmetrical experimental setup ....................................56

3.2.4 The MGRS method ...............................................................................................56

3.2.5 Examples ...............................................................................................................59

3.2.6 Conclusion ............................................................................................................60
3.2 - 3.7 figures ................................................................................................................63
 
 

3.3 The investigation of inverse scattering by hard corrugated wall model ................................69


 
 
3.3.1 Introduction ..........................................................................................................69

3.3.2 Inverse procedures ................................................................................................70

3.3.3 Conclusions ...........................................................................................................77
3.4 Application

 
3.4.1 IHCW1 example for He-LiF(001) scattering ..........................................................78

3.4.2 IHCW2 example for HE-LiF(001) scattering .........................................................81

3.4.3 Conclusions ...........................................................................................................85

3.8 figure.......................................................................................................................86
APPENDIX............................................................................................................................................87
3.A appendix .....................................................................................................................87

3.B appendix .....................................................................................................................87

3.C appendix .....................................................................................................................88

3.D appendix .....................................................................................................................89

3.E appendix .....................................................................................................................90

3.F appendix ......................................................................................................................91

3.6 References ...................................................................................................................92
  4. Epilogue..................................................................................................................................................................................

 
 
4.1 The evolution direction of TEAS and the hard wall model ............................................95

4.2 References .........................................................................................................................96
Acknowledgments ..........................................................................................................................97