added conclusion

This commit is contained in:
aj 2019-11-12 16:23:10 +00:00
parent 0f88146af5
commit 048d10e7dd
2 changed files with 46 additions and 2 deletions

View File

@ -168,7 +168,7 @@ Returning to the specifications, this allows 1.55μm to be expressed as 1.28x10
\end_inset \end_inset
J or approximately 0.8 eV. J or approximately 0.800 eV.
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -180,7 +180,7 @@ This energy value will be the same as the total interband transition for
\begin_layout Standard \begin_layout Standard
\begin_inset Formula \begin_inset Formula
\begin{equation} \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{equation}
\end_inset \end_inset
@ -1617,6 +1617,16 @@ status open
\end_layout \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_layout Plain Layout
\begin_inset Caption Standard \begin_inset Caption Standard
@ -1729,6 +1739,36 @@ P\left(6\unit{nm}\leq x\leq8\unit{nm}\right)\thickapprox0.263
\end_layout \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_layout Standard
\begin_inset Newpage pagebreak \begin_inset Newpage pagebreak
\end_inset \end_inset
@ -1740,6 +1780,10 @@ P\left(6\unit{nm}\leq x\leq8\unit{nm}\right)\thickapprox0.263
Application of Nanomaterials Application of Nanomaterials
\end_layout \end_layout
\begin_layout Standard
Word count:
\end_layout
\begin_layout Standard \begin_layout Standard
\begin_inset Newpage pagebreak \begin_inset Newpage pagebreak
\end_inset \end_inset

Binary file not shown.