Page:Design and Calibration of a New Apparatus to Measure the Specific Electronic Charge.pdf/4

 TABLE OF CONTENTS.

PART TITLE PAGE

I. THE THEORY OF THE EXPERIMENT

1.0 General Introduction 1 1.1 The Epuations of Motion of the Electrons 2 1.2 Non-rotating Field Case. 3 1.3 Shape of Current Peak (Non-rotating Case) 4 1.4 Rotating Field Case 5 1.5 Theoretical Equation for e/m0 6 1.6 Deflection for the Electron Beam 7 1.7 Shape of Current Peak (Rotating Field Case) 9 1.8 Consideraticns of Cavity in TM110Mode 12

II. THE DESIGN OF THE APPARATUS

2.0 Introduction 15 2.1 General Design Considerations 15 2.2 The Cavity Section 17 2.3 The Electron Source 19 2.4 The Collector 24 2.5 The R.F. System 27 2.6 Protective Systems 29

III. EXPERIMENTAL RESULTS AND CONCLUSIONS

3.0 Introduction 32 3.1 Experimental Results -- Current Peaks 32 3.2 Effect of Beam Size 37 3.3 General Considerations of Effects of Errors 38 3.4 Errors Due to the R.F. System 38 3.5 Errors Due to the Electron Beam 40 3.6 Errors Arising from Cavity Length Measurement 42 3.7 Errors Due to Charging of Pinholes 43 3.8 Discussion of the Ultimate Obtainable Accuracy 43 3.9 Suggestions for Improvements 44

APPENDIX I. CALCULATION OF CAVITY HEAT FLOW PROBLEM 45

APFENDIX II. EFFECT OF THERMAL ELECTRON VELOCITIES 48

APPENDIX III. TABLE OF SYMBOLS USED IN THE TEXT. 54