Lyman electromagnetic

Eventually, other series of lines were found in other regions of the electromagnetic spectrum. The Lyman series was observed in the ultraviolet region, whereas the Paschen, Brackett, and Pfund series were observed in the infrared region of the spectrum. All of these lines were observed as they were emitted from excited atoms, so together they constitute the emission spectrum or line spectrum of hydrogen atoms. 

Other spectral regions are also important because the detection and quantification of small concentrations of labile molecular, free radical, and atomic species of tropospheric interest both in laboratory studies and in ambient air are based on a variety of spectroscopic techniques that cover a wide range of the electromagnetic spectrum. For example, the relevant region for infrared spectroscopy of stable molecules is generally from 500 to 4000 cm-1 (20-2.5 /Am), whereas the detection of atoms and free radicals by resonance fluorescence employs radiation down to 121.6 nm, the Lyman a line of the H atom. 

Subsequent to the discovery of the Balmer series of lines in the visible region of the electromagnetic spectrum, it was found that many other spectral lines are also present in nonvisible regions of the electromagnetic spectrum. Hydrogen, for example, shows a series of spectral lines called the Lyman series in the ultraviolet region and still other series (the Paschen, Brackett, and Pfund series) in the infrared region. 

The Lyman series of emission fines of the hydrogen atom are those for which iif = 1. (a) Determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed, (b) Calculate the wavelengths of the first three fines in the Lyman series—those for which ii, = 2,3, and 4. 

Figure 2.4 Hydrogen atom energy levels and transitions. The Lyman, Balmer, Ritz-Paschen, and Brackett series occur in the vacuum ultraviolet, visible, near-infrared, and infrared regions of the electromagnetic spectrum, respectively.

The first line of the Lyman series of the hydrogen atom emission results from a transition from the w = 2 level to the n = 1 level. What is the wavelength of the emitted photon Using Figure 7.5, describe the region of the electromagnetic spectrum in which this emission lies. 

The emission spectrum for hydrogen atoms in the visible region is shown in Figure 2.36. This series of lines is called the Balmer series, after Johann Balmer, who first observed these lines. Similar sets of lines are observed in the ultraviolet (Lyman series) and infrared regions of the electromagnetic spectrum (Figure 2.37). An emission or line spectrum (Figure 2.38) differs from a continuous spectrum in two important ways ... 

Find the wavelengths of the first six lines in the hydrogen atom spectrum corresponding to transitions to = 1 (the Lyman series). In what region of the electromagnetic spectrum do these lines lie ... 

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