Series Paschen

When fhe members of fhe Balmer and Paschen series (see Figure f. f) are observed af high resolution fhey show closely spaced fine strucfure and if was an imporfanf fesf of quanfum mechanical mefhods fo explain fhis. 

Lyman Series) (Balmer Series) (Paschen Series)... 

All of the lines in the Balmer series (Table 6.1) come from transitions to the level n = 2 from higher levels (n = 3, 4, 5,. . . ). Similarly, lines in the Lyman series arise when electrons fall to the n = 1 level from higher levels (n = 2, 3, 4,. . . ). For the Paschen series, which lies in the infrared, the lower level is always n = 3. 

In the Paschen series, ni = 3. Calculate the longest wavelength possible for a transition in this series. 

Pascal An SI unit of pressure the pressure exerted by the force of 1 newton on an area of 1 square meter, 104,635 Paschen series, 138 Pasteur, Louis, 601 Pauli exclusion principle, 141-143 Pauling, Linus, 185 Pentyl propionate, 596t Peptide linkage The—C—N—group... 

C07-0126. The series of emission lines that results from excited hydrogen atoms undergoing transitions to the n — 3 level Is called the Paschen series. Calculate the energies of the first five lines In this series of transitions, and draw an energy level diagram that shows them to scale. 

The discovery of two other series of emission lines of hydrogen came later. They are named for their discoverers the Lyman series in the ultraviolet range and Paschen series in the infrared region. Although formulas were devised to calculate the spectral lines, the physics behind the math was not understood until Niels Bohr proposed his quantized atom. Suddenly, the emission spectrum of hydrogen made sense. Each line represented the energy released when an excited electron went from a higher quantum state to a lower one. 

The study of the hydrogen atom also played an important role in the development of quantum theory. The Lyman, Balmer, and Paschen series of spectral lines observed in incandescent atomic hydrogen were found to obey the empirical equation... 

Paschen series The series of the hydrogen atom spectrum with n = 3 as the starting level. 

Paschen series spect A series of lines in the infrared spectrum of atomic hydrogen whose wave numbers are given by Rh 1(1/9) - (l/n ), where Rh is the Rydberg constant for hydrogen, and n is any integer greater than 3. pash-on, sir-ez ... 

This equation was discovered by Balmer in 1885.7 These speotral lines constitute the Balmer series. Other series of lines for hydrogen correspond to transitions from upper states to the state with n = 1 (the Lyman series), to the state with n = 3 (the Paschen series), and sp on. 

Lyman series, far ultraviolet. Paschen series, far infrared, Brackett series, far infrared, Pfund series, far infrared. 

PROBLEM 5.5 What is the longest-wavelength line (in nanometers) in the Paschen series for hydrogen ... 

Eventually, this series of lines became known as the Balmer series. Balmer wondered whether his little formula might be extended to study the spectra of other elements. He knew similar patterns exist in the line spectra of many elements. He also wondered about spectral lines that the human eye can t see. A few years later, in 1906, additional series of lines were in fact discovered for hydrogen in the ultraviolet region of the spectrum. These were called the Lyman series after their discoverer, Theodore Lyman. Other famous series are the Paschen series, named after German scientist Friedrich Paschen, the Brackett series, named after U.S. scientist F. S. Brackett, and the wonderful Pfund series, named after U.S. scientist August Herman Pfund. The Paschen, Brackett, and Pfund series lie in the infrared region. ... 

Paschen Series This series is formed when electrons in hydrogen atoms fall from a higher energy level to third energy level. This series lies in infrared region. 

When the members of the Balmer and Paschen series (see Figure 1.1) are observed at high resolution they show closely spaced fine structure and it was an important test of quantum mechanical methods to explain this. 

In each of these series, the principal quantum number for the lower energy level involved is the same for each absorption line. Thus, for the Lyman series, the lower energy level is = 1 for the Balmer series, n-2 for Paschen series, = 3 and for the Brackett series, n = 4. 

Paschen series. One of the hydrogen spectral series in the infrared region. 

For the Paschen series /i = 3 and ni = 4, 5, 6,... The second line in the Paschen series is observed when 2 5. Hence, starting from equation I.l, we have... 

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