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2009-10-20.lyx
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#LyX file created by tex2lyx 1.6.3
\lyxformat 249
\begin_document
\begin_header
\textclass article
\language english
\inputencoding auto
\font_roman default
\font_sans default
\font_typewriter default
\font_default_family default
\font_sc false
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
\graphics default
\paperfontsize default
\spacing single
\papersize default
\use_geometry false
\use_amsmath 0
\cite_engine basic
\use_bibtopic false
\paperorientation portrait
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\defskip medskip
\quotes_language english
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\end_header
\begin_body
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
% 2009-10-20
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
nr
\end_layout
\end_inset
\end_layout
\begin_layout Section
Bindungskräfte
\end_layout
\begin_layout Enumerate
Bindung in Festkörpern
\end_layout
\begin_deeper
\begin_layout Enumerate
Bindungstypen
\end_layout
\begin_layout Enumerate
Bindungsenergie
\end_layout
\end_deeper
\begin_layout Enumerate
Fluktuationsbindung
\end_layout
\begin_deeper
\begin_layout Enumerate
Van-der-Waals-Kräfte
\end_layout
\begin_layout Enumerate
Lennard-Jones-Potential
\end_layout
\begin_layout Enumerate
Edelgaskristalle
\end_layout
\end_deeper
\begin_layout Enumerate
Ionenbindung
\end_layout
\begin_deeper
\begin_layout Enumerate
Bindungsenergie
\end_layout
\begin_layout Enumerate
Inonenkristalle
\end_layout
\end_deeper
\begin_layout Enumerate
Kovalente Bindungen
\end_layout
\begin_layout Enumerate
Metallische Bindungen
\end_layout
\begin_layout Enumerate
Wasserstoffbrückenbindung
\end_layout
\begin_layout Standard
Festkörperphysik
\begin_inset Formula $\to$
\end_inset
Eigenschaften fester Materialien
\newline
\begin_inset Formula $\underbrace{ \text{Atomkerne}+\text{Elektronen} }_{10^{23}}$
\end_inset
\end_layout
\begin_layout Subsection
Klassen von Festkörpern
\end_layout
\begin_layout Itemize
Isolatoren
\end_layout
\begin_layout Itemize
Halbleiter
\end_layout
\begin_layout Itemize
Metalle
\end_layout
\begin_layout Itemize
Supraleiter
\end_layout
\begin_layout Subsection
Fundamentale Konzepte
\end_layout
\begin_layout Itemize
Schrödingergleichung
\end_layout
\begin_layout Itemize
Pauli-Prinzip
\end_layout
\begin_layout Itemize
Coulombsche-Wechselwirkung
\end_layout
\begin_layout Itemize
Maxwellgleichungen
\end_layout
\begin_layout Itemize
Statistische Mechanik
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{tabbing}
\end_layout
\end_inset
\InsetSpace \qquad{}
Unterschiedliche Atomare
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
=
\end_layout
\end_inset
Ordnung
\newline
\InsetSpace \qquad{}
\begin_inset Formula $\swarrow$
\end_inset
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
>
\end_layout
\end_inset
\begin_inset Formula $\searrow$
\end_inset
\InsetSpace \qquad{}
\newline
idelale Kristalle
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
>
\end_layout
\end_inset
ideale amorphe Festkörper
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
end{tabbing}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
%% GRAFIK %%
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout Subsection
5 Bindungstypen
\end_layout
\begin_layout Enumerate
Fluaktions-Bindung
\end_layout
\begin_layout Enumerate
Ionenbindung
\end_layout
\begin_layout Enumerate
Kovalente-Bingungen
\end_layout
\begin_layout Enumerate
metallische Bindungen
\end_layout
\begin_layout Enumerate
Wasserstoffbrückenbindung
\end_layout
\begin_layout Subsection
zweite Periode
\end_layout
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="9">
<features>
<column alignment="center" valignment="top" leftline="true" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<column alignment="center" valignment="top" rightline="true">
<row topline="true">
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Li
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Be
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
B
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
C
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $\text{N}_2$
\end_inset
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $\text{O}_2$
\end_inset
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $\text{F}_2$
\end_inset
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Ne
\end_layout
\end_inset
</cell>
</row>
<row topline="true">
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Bindungsenergie
\begin_inset Formula $\nicefrac{\text{eV}}{\text{Atom}}$
\end_inset
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
1,6
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
3,3
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
5,8
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
7,4
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
4,9
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
2,6
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
0,8
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
0,02
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Schmelztemperatur K
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
453
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
1560
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
2348
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
4765
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
62
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
54
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
53
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
24
\end_layout
\end_inset
</cell>
</row>
<row topline="true">
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
\begin_layout Standard
metall. charakter. Bindung
\begin_inset Formula $\searrow$
\end_inset
\InsetSpace \quad{}
\begin_inset Formula $\nearrow$
\end_inset
kovalente
\end_layout
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell multicolumn="1" alignment="none" valignment="top" topline="true" usebox="none" special="c">
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $\underbrace{\phantom{\qquad\qquad\qquad}}_{\text{Molekülkristalle}}$
\end_inset
\end_layout
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell multicolumn="2" alignment="center" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
<cell alignment="none" valignment="top" topline="true" usebox="none">
\begin_inset Text
\end_inset
</cell>
</row>
</lyxtabular>
\end_inset
\end_layout
\begin_layout Standard
Potential (Abstoßung) zwischen neutralen Atomen (Molekülen) mit abgeschlossener Elektronenschale
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
%% GRAFIK %%
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula $\phi (r)=\dfrac{A}{r^m},\, m=12$
\end_inset
oder
\begin_inset Formula $\phi(r)=A^\prime \text{e}^{\nicefrac{r}{\rho}}$
\end_inset
\end_layout
\begin_layout Subsection
Van-der-Waals-Bindung
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
%% GRAFIK %%
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \begin{eqnarray}
\varphi(r) & \sim & \dfrac{\vec{P}_1\vec{P}_2}{r^3}-\dfrac{3(\vec{P}_1\vec{r})(\vec{P}_2\vec{r})}{r^5} \notag \\
\vec{P}_1 \parallel \vec{P}_2 \to \varphi(r) & = & -\dfrac{2P_1 P_2}{r^3} \notag \\
\varphi & \sim & -\dfrac{P_1 P_2}{r^3} \sim \dfrac{1}{r^6}\label{eq:van-der-waal-potential}
\end{eqnarray}
\end_inset
(
\begin_inset LatexCommand \ref{eq:van-der-waal-potential}
\end_inset
) heißt Van-der-Waal-Potential
\end_layout
\begin_layout Standard
\begin_inset Formula \[\varphi(r)=\dfrac{A}{r^{12}}-\dfrac{B}{r^6}\equiv \underbrace{4\varepsilon\left[\left(\dfrac{\sigma}{r}\right)^{12}-\left(\sigma\right)^6\right]}_{\text{Lennard-Jones-Potential}} \qquad A=4\varepsilon \sigma^{12},\;B=4\varepsilon \sigma^6\]
\end_inset
\end_layout
\end_body
\end_document