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ii Acknowledgements  v 1 Physical Background  1 1.1 A Brief Description of the Magnetosphere and th e Radiation Belts  1 1.2 Outer Belt Electron Flux Observations  4 1.3 Electron Sources, Loss & Transport  7 1.4 Thesis Outline  11 2 Introduction to Particle Dynamics 13 2.1 Basic Charged-Particle Motion  13 2.2 Wave-Particle Interactions  22 2.3 Diffusion  29 2.3.1 Stochasticity  29 2.3.2 The Diffusion Equation  31 2.3.3 Modeling the Diffusion Coefficient  33 3 Introduction to ULF Waves  36 3.1 Magnetohydrodynamic Wave Theory  36 3.2 Magnetosonic Waves  38 3.3 Alfvén Waves & Field Line Resonances  40 3.4 Statistical Maps of ULF Wave Occurrence and Amp litude  44 4 Wave-Particle Interactions  47 4.

Modeling of Outer Radiation Belt Electron Scattering due to Spatial and Spectral Properties of ULF Waves