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% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
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% Document Info
\author{resaraj}
\pdfinfo{
  /Title (electrons-in-atoms.pdf)
  /Creator (Cheatography)
  /Author (resaraj)
  /Subject (Electrons in atoms Cheat Sheet)
}

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% Commands
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% Header and Footer
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\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Electrons in atoms Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{resaraj} via \textcolor{DarkBackground}{\uline{cheatography.com/209482/cs/45129/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}resaraj \\
  \uline{cheatography.com/resaraj} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 28th November, 2024.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Elements and compounds}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732723148_OIP.jpeg}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Isotopes of Hydrogen}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{₁$^{\textrm{1}}$H→Deuterium ($^{\textrm{2}}$₁H)→Tritium ($^{\textrm{3}}$₁H)} \tn 
% Row Count 1 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} p{0.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Mol: amount of substance SI}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Nₐ=6,022*10$^{\textrm{2}}$$^{\textrm{3}}$entities/mol} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{mass of 1 mol of substance=its atomic mass (uma), taken as grams} \tn 
% Row Count 3 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Atomic spectra}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732724888_Captura de pantalla 2024-11-27 172745.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Rydberg relation}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732725280_Captura de pantalla 2024-11-27 173346.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{only a limited number of energy values are available to excited gaseous atoms}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.08 cm} x{3.92 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{The Bohr Atom}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{First postulate}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
atom= \seqsplit{nucleus(positivecharge} and miuch of the system mass) +e⁻ moving in circular orbits around it & Fe=Fc⟶r=(Z{\emph{e$^{\textrm{2}}$)/(4π}}ε₀{\emph{m}}𝜈$^{\textrm{2}}$) \tn 
% Row Count 6 (+ 5)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{Second postulate}}} \tn 
% Row Count 7 (+ 1)
% Row 3
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{The e⁻ has only a fixed set of stationary states, as long as it remains in the same orbit, its energy is constant and no energy is emitted} \tn 
% Row Count 10 (+ 3)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{Third postulate}}} \tn 
% Row Count 11 (+ 1)
% Row 5
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{An e⁻can pass only from one allowed orbit to another emitting or absorvig quanta(fixed discrete quantities of energy)} \tn 
% Row Count 14 (+ 3)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Heisenberg's uncertainty principle}}  \tn
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{De Broglie's wave-particle duality}}  \tn
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Particle in a box}}  \tn
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\mymulticolumn{1}{x{8.4cm}}{} \tn 
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4.64 cm} x{3.36 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Law of conservation of mass}}  \tn
% Row 0
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Matter cannot be created nor destroyed & mass reactants=mass products \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Law of definite proportions}}  \tn
% Row 0
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\mymulticolumn{1}{x{8.4cm}}{A chemical compound always contains exactly the same proportion of elements by mass} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{The modern atom}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732723495_Captura de pantalla 2024-11-27 170327.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Atomic Number=Z=protons \newline Mass \seqsplit{number=A=protons+neutrons}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.16 cm} x{5.84 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Electromagnetic spectrum}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{c=λ*𝑣}}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
γ rays & {[}10⁻$^{\textrm{1}}$$^{\textrm{5}}$,10⁻$^{\textrm{1}}$$^{\textrm{1}}${]}m \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
X rays & {[}10⁻$^{\textrm{1}}$$^{\textrm{3}}$,10⁻$^{\textrm{9}}${]}m \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
U.V. & {[}10⁻$^{\textrm{9}}$,390*10⁻$^{\textrm{6}}${]}m \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
Visible & {[}390,760{]}nm \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
Infrarred & {[}760*10⁻$^{\textrm{6}}$,10⁻$^{\textrm{3}}${]}m \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Microwave & {[}10⁻$^{\textrm{3}}$,10⁻$^{\textrm{1}}${]}m \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
Radio & {[}10⁻$^{\textrm{2}}$,10$^{\textrm{4}}${]}m \tn 
% Row Count 8 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\bf{the given values are for λ}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} p{0.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Atomic spectrum of Hydrogen}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Balmer experimentally found a frequency formula to define H spectral lines} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{𝜈=3,2881{\emph{10$^{\textrm{1}}$$^{\textrm{5}}$}}(1/2-1/n$^{\textrm{2}}$) s⁻$^{\textrm{1}}$} \tn 
% Row Count 3 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{The photoelectric effect}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732726932_Captura de pantalla 2024-11-27 180101.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Einstein postulated that light is not a wave but a collection of discrete wave packets (photons)}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{The Zeeman effect}}  \tn
% Row 0
\SetRowColor{LightBackground}
spectral lines are split in the presence of a magnetic fild & the split was proportional to the applied magnetic field \tn 
% Row Count 3 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{5.76 cm} x{2.24 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Quantum number}}  \tn
% Row 0
\SetRowColor{LightBackground}
n (principal quantum number) & 1,2,...,n \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
l (angular momentum number) & {[}0,...,n-1{]} \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
m (magnetic quantum number) & {[}-l,...,l{]} \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
s (spin number) & {[}-1/2,1/2{]} \tn 
% Row Count 4 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} p{0.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Pauli Exclusion Principle}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{In an atom two electrons cannot have the same quantum numbers} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Planck's formula}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/resaraj_1732725457_Captura de pantalla 2024-11-27 173623.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{the quantum energy is proportional to the frequency of the emitted radiation, the energy of a system changes in specific quanta. \newline h=6,626*10⁻$^{\textrm{3}}$$^{\textrm{4}}$}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} p{0.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Orbitals}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Description of the probability of finding the electron in the space} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{2}{x{8.4cm}}{high electronic charge density} \tn 
% Row Count 3 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{6.56 cm} x{1.44 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Multielectron atoms}}  \tn
% Row 0
\SetRowColor{LightBackground}
Different penetrating and shielding properties of the orbitals & \seqsplit{Zeff=Z-σ} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}