There are numerous ways to achieve this depending on the complexity of the alignment.
One way is to use \makebox to set the text into a fixed width size:

\documentclass{article}
\begin{document}
Here is some text before by aligned text\par
\makebox[1.5cm]{S} Isomeric state\par
\makebox[1.5cm]{Z} Atomic number\par
\makebox[1.5cm]{A} Atomic mass number\par
Some text after the aligned text
\end{document}
Depending on the complexity of the alignment, you can define macros to make the entry as above easier.
If you only have a list as in the example you have given, you could use simply use a list environment. Here is an an example use the enumitem package
\documentclass{article}
\usepackage{enumitem}
\begin{document}
\noindent
Here is some text before by aligned text
\begin{itemize}[leftmargin=2.0cm,labelsep=0.5cm]
\item[S] Isomeric state
\item[Z] Atomic number
\item[A] Atomic mass number
\end{itemize}
Some text after the aligned text
\end{document}
You could also use the tabular environment and not put it in a float:
\documentclass{article}
\begin{document}
\noindent
Here is some text before by aligned text
\begin{tabular}{rl}
S& Isomeric state\\
Z& Atomic number\\
A& Atomic mass number
\end{tabular}
\noindent
Some text after the aligned text
\end{document}
Yet another option is to use the tabbing environment (suggested by @GonzaloMedina):
\documentclass{article}
\begin{document}
\noindent
Here is some text before by aligned text
\begin{tabbing}
\hspace*{1em}\= \hspace*{2em} \= \kill % set the tabbings
\> S\> Isomeric state \\
\>Z \>Atomic number \\
\>A \>Atomic mass number
\end{tabbing}
Some text after the aligned text
\end{document}
tabular– egreg Oct 31 '11 at 17:05