Answer:
(a) [tex]l = 1[/tex] corresponds to the letter "[tex]p[/tex]".
(b) [tex]l = 3[/tex] corresponds to the letter "[tex]f[/tex]".
Explanation:
The shape and letter code of an electron subshell depends on [tex]l[/tex], the angular momentum quantum number.
The range of possible values that [tex]l[/tex] could take depends on [tex]n[/tex], the principal quantum number (which gives the main energy level of an electron in an atom.) [tex]l = 0,\, \dots,\, n- 1[/tex]. However, the letter code that corresponds to each [tex]l\![/tex] is the same regardless of the principal quantum number.[tex]l = 0[/tex] corresponds to the letter "[tex]s[/tex]".
[tex]\begin{array}{c|c|c|c|c|c} n & l = 0 & l = 1 & l = 2 & l = 3 & \cdots \\ \cline{1-6} 1 & s \\ \cline{1-3} 2 & s & p \\ \cline{1-4} 3 & s & p & d \\ \cline{1-5} 4 & s & p & d & f \\ \cline{1-5} \vdots & \multicolumn{4}{c}{\cdots}\end{array}[/tex].
The sub-shell having the letter code ℓ = 1 is the p sub-shell. The sub-shell having the letter code ℓ = 3 is the f sub-shell.
The lines obtained from spectroscopy are used to useful in naming sub-shells. These are sharp, principal, diffuse and fundamental (s, p, d, f).
These correspond to numeric codes as follows;
ℓ = 0 ( s sub-shell)
ℓ = 1 ( p sub-shell)
ℓ = 2 (d sub-shell)
ℓ = 3 (f- sub-shell)
Hence, he sub-shell having the letter code ℓ = 1 is the p sub-shell. The sub-shell having the letter code ℓ = 3 is the f sub-shell.
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