This book is designed as an advanced guide for experiments in Modern Physics. It covers the Compton Experiment: Theory, Klein Nishina formula, Experiment, Calibration and data analysis, Measurement of the Energy of Compton Scattered Photons, Compton edge, Compton Scattering Cross Section, etc. It is included the deduction of many formulas and the statistical analysis in order to clear the concepts and to get the concordance between the theory and the experiment. It is hoped that this book fills all need of the students to get the fundaments of advanced experiments and to achieve the interest and motivation of the students for the real nature of the Physics.