From 048d10e7ddee3ca32fb71a7ee067fc277a0764ae Mon Sep 17 00:00:00 2001 From: aj Date: Tue, 12 Nov 2019 16:23:10 +0000 Subject: [PATCH] added conclusion --- coursework.lyx | 48 ++++++++++++++++++++++++++++++++++++++++++++++-- coursework.pdf | Bin 555247 -> 555890 bytes 2 files changed, 46 insertions(+), 2 deletions(-) diff --git a/coursework.lyx b/coursework.lyx index f26de3c..61ff06f 100644 --- a/coursework.lyx +++ b/coursework.lyx @@ -168,7 +168,7 @@ Returning to the specifications, this allows 1.55μm to be expressed as 1.28x10 \end_inset - J or approximately 0.8 eV. + J or approximately 0.800 eV. \end_layout \begin_layout Standard @@ -180,7 +180,7 @@ This energy value will be the same as the total interband transition for \begin_layout Standard \begin_inset Formula \begin{equation} -E_{g,transition}=E_{1h}+E_{g}+E_{1e}\thickapprox0.8\unit{eV}\label{eq:Energy-Gap-Sum} +E_{g,transition}=E_{1h}+E_{g}+E_{1e}\thickapprox0.800\unit{eV}\label{eq:Energy-Gap-Sum} \end{equation} \end_inset @@ -1617,6 +1617,16 @@ status open \end_layout +\begin_layout Plain Layout +\align center +Green: 2nm - 4nm +\end_layout + +\begin_layout Plain Layout +\align center +Purple: 6nm - 8nm +\end_layout + \begin_layout Plain Layout \begin_inset Caption Standard @@ -1729,6 +1739,36 @@ P\left(6\unit{nm}\leq x\leq8\unit{nm}\right)\thickapprox0.263 \end_layout +\begin_layout Subsection +Conclusions +\end_layout + +\begin_layout Standard +Considering these two probabilities it is clear that it is more likely for + the electron to be found between 6nm and 8nm than between 2nm and 4nm across + the well. + This is as expected as 6nm to 8nm places the interval towards the center + of the well. + As the probability density function is a +\begin_inset Formula $\sin^{2}$ +\end_inset + + function, the maxium area will be towards the center. + Referring to figure +\begin_inset CommandInset ref +LatexCommand ref +reference "fig:Probability-plot-with-bounds" +plural "false" +caps "false" +noprefix "false" + +\end_inset + + this can be seen graphically as the region created by the purple lines + has a far greater area under the probability density function than the + region between the green lines. +\end_layout + \begin_layout Standard \begin_inset Newpage pagebreak \end_inset @@ -1740,6 +1780,10 @@ P\left(6\unit{nm}\leq x\leq8\unit{nm}\right)\thickapprox0.263 Application of Nanomaterials \end_layout +\begin_layout Standard +Word count: +\end_layout + \begin_layout Standard \begin_inset Newpage pagebreak \end_inset diff --git a/coursework.pdf b/coursework.pdf index b8e918902afcd16ea8def0d8540aa14a1aa30e35..0a2315e4af8a0c5aa664b97e771244dbc517e672 100644 GIT binary patch delta 10165 zcmai(LvSSww5?-X9UCXM?WALNoOIAZ$M%VBnllc6UeMNQJnz!e#PrsWYQekj)vO%eI0t_U^3xs3Or|a{3@5rpO#m{Q2rgzt% zzW`0^4uu-DWWc7Mz?DA&DJiKdsOi01Ti``@wmDdEW7Jxe$8IyvIOFr!{Q~Iy9P;qz z{q?gfz74pa;qX zq#CSTQLcIsUX!xo^A{JZ*XJ>&9YI7S+7F36eM~Y06+UM-=Hf<)U3597%mbFinR`pa zT!l3zy1WeT2EfhVy2(lIV{!K?Hu)jAQwexfqoe~QR|*mqA{*L5@FcK#XY*rAs(l$s 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