|   | 
                   
                     Page 
                   | 
                
                 
                  | Preface | 
                   
                     xii 
                   | 
                
                 
                  | Biographical Note | 
                   
                     xiii 
                   | 
                
                 
                  | Acknowledgments 
                   | 
                   
                     xiv 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | 1        
                    BASIC THEORY  | 
                    | 
                    | 
                   
                     1 
                   | 
                
                 
                  |          1.0  Introduction, Pump Classification 
                   | 
                    | 
                    | 
                   
                     1 
                   | 
                
                 
                  |          1.1  Pump Capacity | 
                    | 
                    | 
                   
                     1 
                   | 
                
                 
                  |          1.2  Understanding Pump Behavior | 
                    | 
                    | 
                   
                     1 
                   | 
                
                 
                  |          1.3 
                    The Ideal Gas Assumptions | 
                    | 
                    | 
                   
                     2 
                   | 
                
                 
                  |          1.4  Definitions of Temperature and Pressure | 
                    | 
                    | 
                   
                     2 
                   | 
                
                 
                  |                The 
                    Ideal Gas Law or Equation of State | 
                    | 
                    | 
                   
                     3 
                   | 
                
                 
                  |                Manipulation 
                    of the Equation of State | 
                    | 
                    | 
                   
                     5 
                   | 
                
                 
                  |          1.5 
                    Counting Molecules (or Atoms) | 
                    | 
                    | 
                   
                     5 
                   | 
                
                 
                  |          1.6 
                    Density, Pressure and Molecular Velocities  | 
                    | 
                    | 
                   
                     6 
                   | 
                
                 
                  |          1.7 
                    Vapor Pressure  | 
                    | 
                    | 
                   
                     8 
                   | 
                
                 
                  |                 Surface 
                    Pumping | 
                    | 
                    | 
                   
                     11 
                   | 
                
                 
                  |                 Pumping 
                    on a Liquid Cryogen | 
                    | 
                    | 
                   
                     12 
                   | 
                
                 
                  |          1.8 
                    Mean Free Path  | 
                    | 
                    | 
                   
                     12 
                   | 
                
                 
                  |          1.9 
                    Thermal Conductivity of Gases | 
                    | 
                    | 
                   
                     15 
                   | 
                
                 
                  |                 Gas 
                    Flux Incident on a Surface | 
                    | 
                    | 
                   
                     16 
                   | 
                
                 
                  |          1.10 
                    Pumping Speed, a Convenient Abstraction  | 
                    | 
                    | 
                   
                     17 
                   | 
                
                 
                  |          1.11 
                    Throughput  | 
                    | 
                    | 
                   
                     19 
                   | 
                
                 
                  |          1.12 
                    Conductance, Another Convenient Abstraction  | 
                    | 
                    | 
                   
                     20 
                   | 
                
                 
                  |                1.12.1 
                    Conductance Model Applications | 
                    | 
                    | 
                   
                     22 
                   | 
                
                 
                  |                      Species 
                    and Temperature Dependence | 
                    | 
                    | 
                   
                     22 
                   | 
                
                 
                  |                      Pressure 
                    Dependence of Conductance | 
                    | 
                    | 
                   
                     22 
                   | 
                
                 
                  |                      System 
                    Geometry Dependence for Molecular Flow | 
                    | 
                    | 
                   
                     23 
                   | 
                
                 
                  |                      Molecular 
                    Conductance for Different Gases | 
                    | 
                    | 
                   
                     23 
                   | 
                
                 
                  |          1.13 
                    Voltage, Current and Impedance Analogies  | 
                    | 
                    | 
                   
                     25 
                   | 
                
                 
                  |                      Constructing 
                    Voltage Analogues of Complex Systems | 
                    | 
                    | 
                   
                     28 
                   | 
                
                 
                  |          1.14 
                    Dalton's Law of Linear Superposition  | 
                    | 
                    | 
                   
                     28 
                   | 
                
                 
                  |          1.15 
                    Selective and variable Pumping Speed  | 
                    | 
                    | 
                   
                     32 
                   | 
                
                 
                  |          1.16 
                    Measuring Pumping Speed  | 
                    | 
                    | 
                   
                     33 
                   | 
                
                 
                  |                1.16.1 
                    Rate of Pumpdown | 
                    | 
                    | 
                   
                     33 
                   | 
                
                 
                  |                1.16.2 
                    Single Gauge Dome Method | 
                    | 
                    | 
                   
                     36 
                   | 
                
                 
                  |                1.16.3 
                    Three Gauge Method | 
                    | 
                    | 
                   
                     37 
                   | 
                
                 
                  |                1.16.4 
                    Fischer-Mommsen Dome | 
                    | 
                    | 
                   
                     39 
                   | 
                
                 
                  |                           Three 
                    Gauge Versus Fischer-Mommsen Results | 
                    | 
                    | 
                   
                     41 
                   | 
                
                 
                  |                           Speed 
                    Measurement Errors Due to Trace Gas Contamination | 
                    | 
                    | 
                   
                     41 
                   | 
                
                 
                  |          1.17 
                    System Diagnostics With Any Pump  | 
                    | 
                    | 
                   
                     42 
                   | 
                
                 
                  |                           Measuring 
                    Throughput by Rate-of-Pressure-Rise | 
                    | 
                    | 
                   
                     43 
                   | 
                
                 
                  |          1.18 
                    Electrical Discharges in Gases  | 
                    | 
                    | 
                   
                     44 
                   | 
                
                 
                  |                           Ionizing 
                    Gases | 
                    | 
                    | 
                   
                     46 
                   | 
                
                 
                  |                           High 
                    Pressure Electrical Discharges | 
                    | 
                    | 
                   
                     46 
                   | 
                
                 
                  |                           Low 
                    Pressure Ionization Processes | 
                    | 
                    | 
                   
                     50 
                   | 
                
                 
                  |                           Ionization 
                    Gauge Sensitivities | 
                    | 
                    | 
                   
                     52 
                   | 
                
                 
                  |                           Partial 
                    Pressure Gauges | 
                    | 
                    | 
                   
                     53 
                   | 
                
                 
                  |                                 Ion 
                    Collectors | 
                    | 
                    | 
                   
                     57 
                   | 
                
                 
                  |                                 Spectra 
                    Interpretation | 
                    | 
                    | 
                   
                     57 
                   | 
                
                 
                  |                           Gauge 
                    Calibration Methods | 
                    | 
                    | 
                   
                     59 
                   | 
                
                 
                  |          1.19 
                    Vacuum Seals  | 
                    | 
                    | 
                   
                     62 
                   | 
                
                 
                  |                     1.19.1 
                    Elastomer Seals | 
                    | 
                    | 
                   
                     62 
                   | 
                
                 
                  |                           Outgassing 
                    From Elastomers | 
                    | 
                    | 
                   
                     63 
                   | 
                
                 
                  |                     1.19.2 
                    Metal Seals | 
                    | 
                    | 
                   
                     65 
                   | 
                
                 
                  |           1.20 
                    Comments on Helium Leak Detection  | 
                    | 
                    | 
                   
                     71 
                   | 
                
                 
                  |                     1.20.1 
                    System Applications | 
                    | 
                    | 
                   
                     71 
                   | 
                
                 
                  |                     1.20.2 
                    Leak Checking Systems Appended by Capture Pumps | 
                    | 
                    | 
                   
                     76 
                   | 
                
                 
                  |                 Problem 
                    Set  | 
                    | 
                    | 
                   
                     77 
                   | 
                
                 
                  |                 References 
                   | 
                    | 
                    | 
                   
                     79 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | 2        
                    SPUTTERING-ION PUMPING | 
                    | 
                    | 
                   
                     83 
                   | 
                
                 
                  |          2.0 
                    Introduction  | 
                    | 
                    | 
                   
                     83 
                   | 
                
                 
                  |          2.1 
                    The Penning Cell  | 
                    | 
                    | 
                   
                     84 
                   | 
                
                 
                  |          2.2 
                    I+/ P Characteristics in Penning Cells  | 
                    | 
                    | 
                   
                     86 
                   | 
                
                 
                  |                           Qualitative 
                    I/P Characteristics | 
                    | 
                    | 
                   
                     90 
                   | 
                
                 
                  |          2.3 
                    Pumping Speed Abstraction  | 
                    | 
                    | 
                   
                     93 
                   | 
                
                 
                  |          2.4 
                    The Making of Sputter-Ion Pumps  | 
                    | 
                    | 
                   
                     94 
                   | 
                
                 
                  |                2.4.1 
                    Pumping Mechanisms and Materials  | 
                    | 
                    | 
                   
                     94 
                   | 
                
                 
                  |                           Sputtering 
                    Yield | 
                    | 
                    | 
                   
                     94 
                   | 
                
                 
                  |                           Physisorption 
                    and Binding Energies | 
                    | 
                    | 
                   
                     97 
                   | 
                
                 
                  |                           Chemisorption | 
                    | 
                    | 
                   
                     99 
                   | 
                
                 
                  |                2.4.2 
                    Diode Pumps  | 
                    | 
                    | 
                   
                     102 
                   | 
                
                 
                  |                           The 
                    Need for Clean Pumping | 
                    | 
                    | 
                   
                     102 
                   | 
                
                 
                  |                2.4.3 
                    Noble Gas Instabilities  | 
                    | 
                    | 
                   
                     105 
                   | 
                
                 
                  |                           SLAC 
                    Pump Instability Problem | 
                    | 
                    | 
                   
                     106 
                   | 
                
                 
                  |                           Diodes 
                    With Slotted Cathodes | 
                    | 
                    | 
                   
                     108 
                   | 
                
                 
                  |                           The 
                    Galaxy Pump | 
                    | 
                    | 
                   
                     109 
                   | 
                
                 
                  |                2.4.4 
                    The Triode Pump  | 
                    | 
                    | 
                   
                     110 
                   | 
                
                 
                  |                           Magnetic 
                    Fields in Diodes and Triode Pumps | 
                    | 
                    | 
                   
                     113 
                   | 
                
                 
                  |                           Field 
                    Emission in Triode Pumps | 
                    | 
                    | 
                   
                     114 
                   | 
                
                 
                  |                2.4.5 
                    The Differential Sputtering Pump  | 
                    | 
                    | 
                   
                     114 
                   | 
                
                 
                  |                           The 
                    High Energy Neutral Theory | 
                    | 
                    | 
                   
                     115 
                   | 
                
                 
                  |                           Beware 
                    of Shortcuts | 
                    | 
                    | 
                   
                     118 
                   | 
                
                 
                  |          2.5 
                    Hydrogen Pumping  | 
                    | 
                    | 
                   
                     119 
                   | 
                
                 
                  |                2.5.1 
                    Hydrogen Pumping in Diode Pumps  | 
                    | 
                    | 
                   
                     121 
                   | 
                
                 
                  |                           Diffusion 
                    in the Cathodes | 
                    | 
                    | 
                   
                     127 
                   | 
                
                 
                  |                           Titanium 
                    Cathode Material, a Model | 
                    | 
                    | 
                   
                     130 
                   | 
                
                 
                  |                           Ti-6Al-4V 
                    Cathode Material | 
                    | 
                    | 
                   
                     133 
                   | 
                
                 
                  |                           Beta-Stabilized 
                    Cathode Materials | 
                    | 
                    | 
                   
                     133 
                   | 
                
                 
                  |                           Diodes 
                    With Aluminum Cathodes | 
                    | 
                    | 
                   
                     134 
                   | 
                
                 
                  |                           Hydrogen 
                    Burial in Pump Walls | 
                    | 
                    | 
                   
                     136 
                   | 
                
                 
                  |                           Conclusion 
                    on Hydrogen Pumping | 
                    | 
                    | 
                   
                     137 
                   | 
                
                 
                  |          2.6 
                    Triode Pumping  | 
                    | 
                    | 
                   
                     138 
                   | 
                
                 
                  |          2.7 
                    Transient Speed Effects  | 
                    | 
                    | 
                   
                     142 
                   | 
                
                 
                  |          2.8 
                    Pumping Gas Mixtures  | 
                    | 
                    | 
                   
                     143 
                   | 
                
                 
                  |          2.9 
                    High Pressure Operation  | 
                    | 
                    | 
                   
                     145 
                   | 
                
                 
                  |                 Advantages 
                    of Low Pressure Operation | 
                    | 
                    | 
                   
                     149 
                   | 
                
                 
                  |          2.10 
                    Sputter-Ion Pumping Helium  | 
                    | 
                    | 
                   
                     149 
                   | 
                
                 
                  |                           Regeneration 
                    After Pumping Helium | 
                    | 
                    | 
                   
                     153 
                   | 
                
                 
                  |          2.11 
                    Pumping Elements Located in Antechambers or Pockets  | 
                    | 
                    | 
                   
                     154 
                   | 
                
                 
                  |                           Distributed 
                    Sputter-Ion Pumps (DIPs) | 
                    | 
                    | 
                   
                     156 
                   | 
                
                 
                  |          2.12 
                    Pump Power Supplies  | 
                    | 
                    | 
                   
                     158 
                   | 
                
                 
                  |          2.13 
                    Magnet Designs  | 
                    | 
                    | 
                   
                     160 
                   | 
                
                 
                  |          2.14 
                    More on the Nature of Penning Discharges  | 
                    | 
                    | 
                   
                     164 
                   | 
                
                 
                  |                2.14.1 
                    Space Charge Distribution in Penning Cells  | 
                    | 
                    | 
                   
                     164 
                   | 
                
                 
                  |                2.14.2 
                    More on Sputtering Patterns on Pump Cathodes  | 
                    | 
                    | 
                   
                     170 
                   | 
                
                 
                  |                           Noise 
                    in Sputter-Ion Pumps | 
                    | 
                    | 
                   
                     171 
                   | 
                
                 
                  |                2.14.3 
                    Striking Characteristics  | 
                    | 
                    | 
                   
                     172 
                   | 
                
                 
                  |                2.14.4 
                    Use of Very High Magnetic Fields  | 
                    | 
                    | 
                   
                     173 
                   | 
                
                 
                  |          2.15 
                    Other Considerations  | 
                    | 
                    | 
                   
                     173 
                   | 
                
                 
                  |                           Maintenance 
                    and Trouble Shooting | 
                    | 
                    | 
                   
                     173 
                   | 
                
                 
                  |          2.16 
                    A Summary of Advantages and Disadvantages  | 
                    | 
                    | 
                   
                     175 
                   | 
                
                 
                  |                 Appendix 
                    2A - Electrostatic Getter-Ion Pumps  | 
                    | 
                    | 
                   
                     177 
                   | 
                
                 
                  |                 Problem 
                    Set  | 
                    | 
                    | 
                   
                     179 
                   | 
                
                 
                  |                 References 
                   | 
                    | 
                    | 
                   
                     181 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | 3        
                    TITANIUM SUBLIMATION PUMPING | 
                    | 
                    | 
                   
                     195 
                   | 
                
                 
                  |          3.0 
                    Introduction  | 
                    | 
                    | 
                   
                     195 
                   | 
                
                 
                  |          3.1 
                    Sticking Coefficients  | 
                    | 
                    | 
                   
                     196 
                   | 
                
                 
                  |          3.2 
                    Pump Speed vs. Sticking Coefficient, a 
                     | 
                    | 
                    | 
                   
                     200 
                   | 
                
                 
                  |                           Titanium 
                    and Conductance Limited Operation | 
                    | 
                    | 
                   
                     203 
                   | 
                
                 
                  |                           Dependency 
                    of a on gas, Film Thickness and 
                    Temperature | 
                    | 
                    | 
                   
                     204 
                   | 
                
                 
                  |          3.3 
                    Synthesis, Displacement and Dissociation of Gases  | 
                    | 
                    | 
                   
                     208 
                   | 
                
                 
                  |          3.4 
                    Sublimation Sources  | 
                    | 
                    | 
                   
                     210 
                   | 
                
                 
                  |                           Filamentary 
                    Sources | 
                    | 
                    | 
                   
                     211 
                   | 
                
                 
                  |                           Constant 
                    Current Operation | 
                    | 
                    | 
                   
                     212 
                   | 
                
                 
                  |                           Constant 
                    Voltage Operation | 
                    | 
                    | 
                   
                     214 
                   | 
                
                 
                  |                           Radiantly 
                    Heated Sources | 
                    | 
                    | 
                   
                     216 
                   | 
                
                 
                  |                           E-Gun 
                    Sources | 
                    | 
                    | 
                   
                     218 
                   | 
                
                 
                  |          3.5 
                    Combination Pumping  | 
                    | 
                    | 
                   
                     220 
                   | 
                
                 
                  |                           Pealing 
                    of Titanium Films | 
                    | 
                    | 
                   
                     222 
                   | 
                
                 
                  |          3.6 
                    Advantages and Disadvantages of TPS Pumping  | 
                    | 
                    | 
                   
                     222 
                   | 
                
                 
                  |                 Problem 
                    Set  | 
                    | 
                    | 
                   
                     223 
                   | 
                
                 
                  |                 References | 
                    | 
                    | 
                   
                     224 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | 4        
                    NONEVAPORABLE GETTERS (NEG) | 
                    | 
                    | 
                   
                     229 
                   | 
                
                 
                  |          4.0 
                    Introduction  | 
                    | 
                    | 
                   
                     229 
                   | 
                
                 
                  |          4.1 
                    Mechanical Features  | 
                    | 
                    | 
                   
                     229 
                   | 
                
                 
                  |          4.2 
                    NEG Pumping Mechanisms  | 
                    | 
                    | 
                   
                     232 
                   | 
                
                 
                  |                           The 
                    Pumping of CO, CO2, N2, O2 | 
                    | 
                    | 
                   
                     233 
                   | 
                
                 
                  |                           Hydrogen 
                    Pumping | 
                    | 
                    | 
                   
                     235 
                   | 
                
                 
                  |                           The 
                    Pumping of Hydrocarbons | 
                    | 
                    | 
                   
                     240 
                   | 
                
                 
                  |                           Pumping 
                    Speeds for Gases and Gas Mixtures | 
                    | 
                    | 
                   
                     241 
                   | 
                
                 
                  |          4.3 
                    Sintered NEG Structures  | 
                    | 
                    | 
                   
                     246 
                   | 
                
                 
                  |          4.4 
                    Advantages and Disadvantages of NEGs  | 
                    | 
                    | 
                   
                     248 
                   | 
                
                 
                  |                 Problem 
                    Set  | 
                    | 
                    | 
                   
                     249 
                   | 
                
                 
                  |                 References | 
                    | 
                    | 
                   
                     251 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | 5       CRYOPUMPING | 
                    | 
                    | 
                   
                     255 
                   | 
                
                 
                  |          5.0 
                    Introduction  | 
                    | 
                    | 
                   
                     255 
                   | 
                
                 
                  |          5.1 
                    Cryocondensation vs. Cryosorption  | 
                    | 
                    | 
                   
                     255 
                   | 
                
                 
                  |                5.1.1 
                    Cryocondensation Pumping  | 
                    | 
                    | 
                   
                     257 
                   | 
                
                 
                  |                5.1.2 
                    The Clausius-Claperon Equation  | 
                    | 
                    | 
                   
                     258 
                   | 
                
                 
                  |                           Condensation 
                    at Higher Pressures | 
                    | 
                    | 
                   
                     260 
                   | 
                
                 
                  |                5.1.3 
                    Thermal Transpiration  | 
                    | 
                    | 
                   
                     261 
                   | 
                
                 
                  |                5.1.4 
                    Adsorption Isotherms  | 
                    | 
                    | 
                   
                     264 
                   | 
                
                 
                  |                           Classification 
                    of Adsorption Isotherms | 
                    | 
                    | 
                   
                     267 
                   | 
                
                 
                  |                           He 
                    and Hydrogen Isotherms on 4.2°K Surfaces | 
                    | 
                    | 
                   
                     271 
                   | 
                
                 
                  |                5.1.5 
                    Speed and Capacity of Cryopumps  | 
                    | 
                    | 
                   
                     274 
                   | 
                
                 
                  |                5.1.6 
                    Cryotrapping  | 
                    | 
                    | 
                   
                     276 
                   | 
                
                 
                  |                5.1.7 
                    Sieve Materials  | 
                    | 
                    | 
                   
                     277 
                   | 
                
                 
                  |                           Plugging 
                    of Sieve Materials | 
                    | 
                    | 
                   
                     279 
                   | 
                
                 
                  |                           Surface 
                    Bonding of Sieve Materials | 
                    | 
                    | 
                   
                     283 
                   | 
                
                 
                  |          5.2 
                    Sorption Roughing Pumps  | 
                    | 
                    | 
                   
                     284 
                   | 
                
                 
                  |                5.2.1 
                    Staging of Sorption Pumps  | 
                    | 
                    | 
                   
                     287 
                   | 
                
                 
                  |                           Effects 
                    of Neon When Rough Pumping | 
                    | 
                    | 
                   
                     291 
                   | 
                
                 
                  |                5.2.2 
                    Dewars and Bakeout Regeneration Heaters  | 
                    | 
                    | 
                   
                     292 
                   | 
                
                 
                  |                5.2.3 
                    Safety Considerations  | 
                    | 
                    | 
                   
                     293 
                   | 
                
                 
                  |          5.3 
                    Liquid Helium Cryopumps  | 
                    | 
                    | 
                   
                     295 
                   | 
                
                 
                  |                5.3.1 
                    Classification of LHe Cryopumps  | 
                    | 
                    | 
                   
                     295 
                   | 
                
                 
                  |                5.3.2 
                    Chevron Design  | 
                    | 
                    | 
                   
                     299 
                   | 
                
                 
                  |          5.4 
                    Closed-Loop Gaseous Helium Cryopumps  | 
                    | 
                    | 
                   
                     301 
                   | 
                
                 
                  |                           Chevron 
                    Design | 
                    | 
                    | 
                   
                     303 
                   | 
                
                 
                  |                           Sticking 
                    Coefficients | 
                    | 
                    | 
                   
                     306 
                   | 
                
                 
                  |                           Thermal 
                    Loading of Cryopumps | 
                    | 
                    | 
                   
                     307 
                   | 
                
                 
                  |                           Sputtering 
                    Applications | 
                    | 
                    | 
                   
                     309 
                   | 
                
                 
                  |                           Cryopump 
                    Applications | 
                    | 
                    | 
                   
                     312 
                   | 
                
                 
                  |                           System 
                    Configurations | 
                    | 
                    | 
                   
                     313 
                   | 
                
                 
                  |                           Regeneration 
                    of Cryopumps | 
                    | 
                    | 
                   
                     315 
                   | 
                
                 
                  |                           Standard 
                    & Quick Regeneration Methods | 
                    | 
                    | 
                   
                     316 
                   | 
                
                 
                  |                           Reverse 
                    Cycle Regeneration | 
                    | 
                    | 
                   
                     318 
                   | 
                
                 
                  |                           The 
                    Placebo Effect | 
                    | 
                    | 
                   
                     319 
                   | 
                
                 
                  |                           Sources 
                    & Remedies of He Gas Contamination | 
                    | 
                    | 
                   
                     320 
                   | 
                
                 
                  |          5.5 
                    Closed-Loop, Gaseous Helium Refrigerators  | 
                    | 
                    | 
                   
                     321 
                   | 
                
                 
                  |                           Some 
                    History | 
                    | 
                    | 
                   
                     321 
                   | 
                
                 
                  |                           The 
                    GM-Cycle Refrigerator | 
                    | 
                    | 
                   
                     323 
                   | 
                
                 
                  |                           The 
                    Expander | 
                    | 
                    | 
                   
                     323 
                   | 
                
                 
                  |                           The 
                    Compressor | 
                    | 
                    | 
                   
                     326 
                   | 
                
                 
                  |                           Refrigerator 
                    Capacity | 
                    | 
                    | 
                   
                     329 
                   | 
                
                 
                  |                           Networking 
                    Cryopumps on Complex Systems | 
                    | 
                    | 
                   
                     329 
                   | 
                
                 
                  |                5.5.4 
                    Meissner Coils & Traps Using Vapor Refrigerants | 
                    | 
                    | 
                   
                     331 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  |                 Problem 
                    Set  | 
                    | 
                    | 
                   
                     331 
                   | 
                
                 
                  |                 References | 
                    | 
                    | 
                   
                     334 
                   | 
                
                 
                  |  
                    
                   | 
                
                 
                  | SUBJECT INDEX  | 
                    | 
                    | 
                   
                     345 
                   | 
                
                 
                  | AUTHOR INDEX  | 
                    | 
                    | 
                   
                     353 
                   | 
                
                 
                  |   | 
                    | 
                    | 
                   
                    
                   | 
                
                 
                  |  
                    
                   |