no n=3 n=2 When an electron of an excited hydrogen atom descends, from an initial energy level (n;) to a lower (n), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of AE for any pair of energy levels. AE is related to the wavelength (A) of the radiation according to Einstein's equation (AE = [(hc)/λ]). Distinct series of spectral lines have been classified according to n Lyman series:n-1 (91<<123 nm; near-UV). Balmer series:n2 (365<<658 nm; visible). Paschen series:n 3 (819<<1877 nm; near-IR). Brackett series:n-4 (1.456<<4.054 μm; short-to-mid-À-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of A = 2167 nm. Identify the value of ninitial- Identify the value of nfinal.

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Chapter11: Modern Atomic Theory
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n = ∞
n = 5
n = 4
n = 3
n = 2
When an electron of an excited hydrogen atom descends, from an initial energy level (n;) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows
the calculation of AE for any pair of energy levels. AE is related to the wavelength (A) of the radiation according to Einstein's equation (AE = [(hc)/λ]). Distinct series of spectral lines have been
classified according to nf:
Lyman series:n1 (91<<123 nm; near-UV).
Balmer series:nf=2 (365<<658 nm; visible).
Paschen series:nf-3 (819<\<1877 nm; near-IR).
Brackett series:n-4 (1.456<\<4.054 µm; short-to-mid-X-IR)
One of the lines in the emission spectrum of the hydrogen atom has a wavelength of A = 2167 nm.
Identify the value of ninitial-
Identify the value of n final.
Transcribed Image Text:n = ∞ n = 5 n = 4 n = 3 n = 2 When an electron of an excited hydrogen atom descends, from an initial energy level (n;) to a lower (nf), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of AE for any pair of energy levels. AE is related to the wavelength (A) of the radiation according to Einstein's equation (AE = [(hc)/λ]). Distinct series of spectral lines have been classified according to nf: Lyman series:n1 (91<<123 nm; near-UV). Balmer series:nf=2 (365<<658 nm; visible). Paschen series:nf-3 (819<\<1877 nm; near-IR). Brackett series:n-4 (1.456<\<4.054 µm; short-to-mid-X-IR) One of the lines in the emission spectrum of the hydrogen atom has a wavelength of A = 2167 nm. Identify the value of ninitial- Identify the value of n final.
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