Crystal field spectra arise from short range order $($e$.$g$.$ nearest neighbors$)$ and so can be used to probe the structure of glasses as well as crystals. Below are sketched spectra of Ti$3+($one d electron$)$ in an alkali silicate glass and an aluminum$-$rich silicate glass.

a$.$ Calculate Dq for each host in eV$.$ Recall that the energy of a photon is hc$/$wavelength$,$ where h is Planck$$s constant, and c is the speed of light. Thus, $1$ eV $=8065\mathrm{.}54$ cm$-1.$

b$.$ Explain why Ti$3+$ produces an absorption in the visible frequency range.

c$.$ What are the relative sizes of the Ti$3+$ sites in the glasses $($i$.$e$.$ which is bigger and

which is smaller$)?$ Explain your reasoning.Crystal field spectra arise from short range order $($e$.$g$.$ nearest neighbors$)$ and so can be used

to probe the structure of glasses as well as crystals. Below are sketched spectra of $T{i}^{3+}($one $d$

electron$)$ in an alkali silicate glass and an aluminum$-$rich silicate glass.

a$.$ Calculate Dq for each host in $eV.$ Recall that the energy of a photon is hc$/$wavelength$,$

where $h$ is Planck's constant, and $c$ is the speed of light. Thus, $1eV=8065\mathrm{.}54c{m}^{-1}.$

b$.$ Explain why $T{i}^{3+}$ produces an absorption in the visible frequency range.

c$.$ What are the relative sizes of the $T{i}^{3+}$ sites in the glasses $($i$.$e$.$ which is bigger and

which is smaller$)?$ Explain your reasoning.