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Possible partial waves for photoelectron of nitrogen
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[QUOTE="thecommexokid, post: 4966740, member: 345216"] [h2]Homework Statement [/h2] (a) The nitrogen atom has seven electrons. Write down the electronic configuration in the ground state, and the values of parity ([I]Π[/I]), spin ([I]S[/I]), orbital angular momentum ([I]L[/I]), and total angular momentum ([I]J[/I]) of the atom. (b) If an extra electron is attached to form the N[SUP]–[/SUP] negative ion, what are its electron configuration and values of ([I]Π[/I], [I]S[/I], [I]L[/I], [I]J[/I])? (c) If now, upon photoabsorption, the extra electron is detached to leave the nitrogen atom behind in its ground state, what are the possible partial waves for the outgoing photoelectron? [h2]Homework Equations[/h2] The Aufbau principle, the Pauli exclusion principle, Hund's rules, conservation laws [B] 3. The Attempt at a Solution [/B] I believe I can do (a) and (b), though please by all means check that they are correct. (a) Picture: $$\underset{1s0}{\boxed{\uparrow\downarrow}}\quad\underset{2s0}{\boxed{\uparrow\downarrow}}\quad\underset{2p1}{\boxed{\uparrow\phantom\downarrow}}\ \underset{2p0}{\boxed{\uparrow\phantom\downarrow}}\ \underset{2p{-1}}{\boxed{\uparrow\phantom\downarrow}}$$ Electron configuration: 1[I]s[/I][SUP]2[/SUP] 2[I]s[/I][SUP]2[/SUP] 2[I]p[/I][SUP]3[/SUP] [I]S[/I] = 3/2 [I]L[/I] = 0 [I]J[/I] = |[I]L[/I] – [I]S[/I]| = 3/2 [I]Π [/I]= –1 Spectroscopist's notation, for practice: [SUP]4[/SUP][I]S[/I][SUB]3/2[/SUB][SUP]odd[/SUP]. (b) Picture: $$\underset{1s0}{\boxed{\uparrow\downarrow}}\quad\underset{2s0}{\boxed{\uparrow\downarrow}}\quad\underset{2p1}{\boxed{\uparrow\downarrow}}\ \underset{2p0}{\boxed{\uparrow\phantom\downarrow}}\ \underset{2p{-1}}{\boxed{\uparrow\phantom\downarrow}}$$ Electron configuration: 1[I]s[/I][SUP]2[/SUP] 2[I]s[/I][SUP]2[/SUP] 2[I]p[/I][SUP]4[/SUP] [I]S[/I] = 1 [I]L[/I] = 1 [I]J[/I] = [I]L[/I] + [I]S[/I] = 2 [I]Π [/I]= 1 Spectroscopist's notation: [SUP]3[/SUP][I]P[/I][SUB]2[/SUB][SUP]even[/SUP]. (c) Okay, so due to conservation of everything, the photoelectron must have [I]s[/I] = 1/2 [I]ℓ[/I] = 1 [I]j [/I]= 1/2 [I]π[/I] = –1 Spectroscopist's notation: [SUP]2[/SUP][I]P[/I][SUB]1/2[/SUB][SUP]odd[/SUP]. I'm sure this is the relevant information to answer the question; I just don't know anything about the topic of partial-wave analysis so I don't know what the question actually means. [/QUOTE]
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Possible partial waves for photoelectron of nitrogen
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