Given edge lengths and face angles, predict the shape of each of the following
crystals.
$$
\begin{aligned} \text { a. } a &=3 \mathrm{nm}, b=3 \mathrm{nm}, c=3
\mathrm{nm} ; \alpha=90^{\circ}, \beta^{\circ}=90 \\ \gamma &=90^{\circ} \\\
\text { b. } a &=4 \mathrm{nm}, b=3 \mathrm{nm}, c=5 \mathrm{nm} ;
\alpha=90^{\circ}, \beta^{\circ}=100 \\ \gamma &=90^{\circ} \\ \text { c. }
a &=3 \mathrm{nm}, b=3 \mathrm{nm}, c=5 \mathrm{nm} ; \alpha=90^{\circ},
\beta^{\circ}=90 \\ \gamma &=90^{\circ} \\ \mathrm{d} &=3 \mathrm{nm}, b=3
\mathrm{nm}, c=5 \mathrm{nm} ; \alpha=90^{\circ}, \beta^{\circ}=90 \\ \gamma
&=120^{\circ} \end{aligned}
$$