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Abstract.tex  textbf_Please_compare_your_description__.tex  textbf_please_see_specific_comments__.tex  section_Aims_and_Introduction__.tex  subsection_Understanding_Electronic_Noise_The__.tex  subsection_Johnson_Noise_Johnson_noise__.tex  diff --git a/textbf_please_see_specific_comments__.tex b/textbf_please_see_specific_comments__.tex  deleted file mode 100644  index b256027..0000000  --- a/textbf_please_see_specific_comments__.tex  +++ /dev/null 
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\textbf{please see specific comments on previous section (Aims). In addition, I have some broader comments I'd like to share with you. }  \textbf{First, I think you should take a second look at the Aims section of the "better" photoelectric paper we reviewed in class.} That example includes the key equations describing the physical phenomena that were investigated in their photoelectric effect measurements --- such as the relation between the energy of the photon striking the metal surface and the kinetic energy of the electron that is then ejected from the surface --- and also explains that their aim is to use those fundamental physics relations to determine the value of the ``work function'' A and the value of a fundamental physics constant (actually, combination of constants) $ hc/e$.   \textbf{In your case, the Johnson noise part of your aims section would be expected to} reference Nyquist's prediction \cite{Nyquist_1928} of a fundamental relation between the average thermal energy of an electron (approximately $k_B T$) and the measured \textit{root mean square ac voltage}   \begin{equation}  \label{eq:NyquistPredictionForJohnsonNoise}  V_{\textrm{Johnson noise, RMS}} = \sqrt{} = \sqrt{(4 R \Delta f) (k_B T) }  \end{equation}  across a resistor through which no current is flowing, where R is the resistor's resistance, $\Delta f$ (also known as the measurement's Equivalent Noise Band Width (ENBW)) represents the range of frequencies over which you are measuring the ac voltage generated by the random motion of the electrons, and then talk about how it could be measured as a function of R, $\Delta f$ and/or $T$ to determine Boltzmann's constant $k_B$.   Alternatively, if you prefer, you could express the relation in terms of the \textit{mean square ac voltage} $ = (4 R \Delta f) k_B T$.   You would of course also mention that this non-zero mean square ac voltage due to thermally generated random motion of electrons is known as Johnson noise \cite{Johnson_1928}, named after the person who first discovered and measured it.   \textbf{Similarly, the Shot noise part of your aims section would be expected to} reference Schottky's prediction of a fundamental relation between the size of the fluctuations $<\delta i^2(t)>$ \textit{in a current of uncorrelated (randomly emitted) electrons} of average magnitude $i_{dc}$ (produced, in this case, by a photo-diode illuminated by a light bulb)and the amount of charge $e$ carried by an individual electron in that current:   \begin{equation}  \label{eq:SchottkyPredictionForShotNoise}  <\delta i^2(t)> = (2 e) \left(i_{\textrm{dc}} \Delta f \right).   \end{equation}  where $\Delta f$ is the ENBW, as before, and would explain that you could determine $e$ from measurements of $<\delta i^2(t)>$ and $i_{dc}$.   \textbf{If you need to review the physics behind this, I STRONGLY suggest re-reading Chapter 1 of the TeachSpin manual on JOhnson Noise and Chapter 3 on Shot noise rather than relying on the unpublished lab report of an undergraduate from another school whose data isn't nearly as good as yours! }