Essay report should include:
Title Page: The first page of your report should be the signed Pre-lab Discussion page, with the answers to the Pre-Lab questions attached, that was the first page of your lab manual.
Abstract: This should be a brief (100 words) statement of the experiment (what is it?) and your conclusions (what did you do with it?). Be sure to include your final results, along with their associated errors.
Introduction: This should describe the physics and give an overview of what you are going to do. Aim to answer the questions: Why would someone want to do this experiment? What is gained?
Theory: Include the working equations that you will be using but do not include lengthy derivations (such as the Compton or Rutherford formulas) unless specifically asked. Instead concentrate on explaining what the equations mean, something another student could understand if you were at the chalkboard talking. Do include a few sentences on where the equations come from and what they are dependent on, (assumptions, conservation laws, etc.), and also cite a reference where the derivations may be found.
For example: In the Optical Pumping experiment your theory section should start with an energy level diagram of the rubidium atom, (and not energy levels of a hypothetical atom as described in "Scientific American"). Everyone in the 111-Lab has studied some quantum mechanics, and so understands what energy levels of real atoms are like in principle, if not in detail. This should be followed by a discussion of what pumping is and how it is done, while referring to the energy levels in the diagram. An explanation of where the RF transition is and how it is induced should follow, again showing on the diagram which energy levels are involved. The derivation of the Breit-Rabi law is specifically called for as well and so should be included, along with a brief explanation of where it comes from, what assumptions are made in its derivation, and what it relates in its final form.
Apparatus and Procedure: You should have enough detail so that one familiar with physics but not with the particular experiment at hand could reproduce your experiment if necessary. A block diagram of the equipment is essential here—this should be your own, and not copied out of a book or lab manual. Explain the major pieces of equipment and what they do, but do not overwhelm your reader with details here!
Calculations and Data Reduction—Analysis: Matlab is available in the 111-Lab and we encourage all to learn and use it. This section really is the heart of your report, so you would be wise to start it early. When doing this part of the lab, bear in mind that the calculations that the lab manual asks you to do are supposed to act as a guide to your analysis, and not as a series of separate calculations. Do not simply present results without commenting on them; we are confident that by now you can successfully plug into equations and find numerical results. It is the analysis of these results that we are after: do your results agree with what you predicted? Tables and graphs are essential here, along with comments on whether your values fall within the range of the predicted values or follow expected trends, etc. And of course, as in all experimental work, it is possible that on occasion your results will not agree with what you expect. In this case you should offer some explanation of why you think your results are not as you expected. Overall it should be clear to the reader why it is that you are doing what you are doing, and what it is that you find. **Emphasis should also be placed on the calculation of reasonable error figures for all measured results. You must consider what factors limit your accuracy, and how these factors limit your accuracy. (Which factors dominate? Are they all significant?) You should realize that a value reported without an associated uncertainty, be it a data point or a final calculated value, is rendered meaningless. When you quote an uncertainty with a final value, you should make it clear to your reader how you generated this uncertainty: is it a standard deviation or a propagation of uncertainties in measurements? Again, it is important that your reader is easily able to follow what it is that you are doing, and why you are doing it that way.**
Conclusion: Whatever else you want to say should be included here. What did you do and find? Please include a few words on what you think about the experiment and how it can be improved: by the time you write your report, you are the expert and so it is your opinion that would be most helpful.
Acknowledgments/References: If you took data with a partner, say who your partner was. Also acknowledge the use of someone else's computer program, derivations, etc., as well as whatever texts you used as references. Note: References should be in the format such as e.g. that of Phys. Rev. A or Phys. Rev. Letters.
Raw Data: You must include the data that you took in lab in an appendix; the data should be clear enough so that someone could look at it and determine what you measured and how you measured it. You should be keeping a lab notebook, so simply photocopy all relevant pages. If you have acquired data electronically and the amount of data is unreasonably large, consider displaying it in a reasonable compressed format, such as graphs.
Your report should include all of the listed sections, along with the signed Pre-lab and Mid–Lab Discussion sheets with the answers to the pre-Lab questions.
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