Hydrogen, atomic spectrum

Pto/e / I7. The hydrogen atom spectrum a clue to energy levels. 

Lyman series The series of the hydrogen atom spectrum with n = 1 as the starting level. 

The explanation of the hydrogen atom spectrum and the photoelectric effect, together with other anomalous observations such as the behaviour of the molar heat capacity C of a solid at temperatures close to 0 K and the frequency distribution of black body radiation, originated with Planck. In 1900 he proposed that the microscopic oscillators, of which a black body is made up, have an oscillation frequency v related to the energy E of the emitted radiation by... 

In the hydrogen atom spectrum, calculate 0 if m = 1 and n = 3 using the equation given in the text. Take the value of the Rydberg constant, R, from Appendix 4. 

Lyman series A series of lines in the hydrogen atom spectrum that corresponds to transitions between the ground state (principal quantum number n = 1) and successive excited states. 

Can we get to Rydberg s Equation Sure We even get Rh, the Rydberg constant We easily recognize the cause of the observed discrete hydrogen atom spectrum using Fig. 3.2. 

Despite its success in reproducing the hydrogen atom spectrum, the Bohr model of the atom rapidly encountered difiiculties. Advances in the resolution obtained in spectroscopic experiments had shown that the spectral features of the hydrogen atom are actually composed of several closely spaced lines these are not accounted for by quantum jumps between Bohr s allowed orbits. However, by modifying the Bohr model to... 

Humphreys series /hum-freez/ See hydrogen atom spectrum. 

Lyman series /ly-man/ See hydrogen atom spectrum. It is named for the American physicist Theodore Lyman (1874-1954). 

I he orderlines.s of hydrogens atomic spectrum was most intriguing to Balmer, Rydberg, and other investigators of the time. However, as to why such orderliness should exist, these early workers were unable to formulate any hypothesis that agreed with any accepted atomic model of the day. 

Q A line in the hydrogen atomic spectrum at a wavelength of 94.93 nm is a member of the Lyman series. Calculate the value of the principal quantum number of the energy level from which the spectral line is emitted. 

A line of the Lyman series of the hydrogen atom spectrum has the wavelength 9.50 X 10 m. It results from a transition from an upper energy level to n = 1. What is the principal quantum number of the upper level ... 

The colored lines in the spectra of all elements are observed to come closer and closer to each other at the lower frequencies. This suggests that the frequencies of the lines may be given by a mathematical expression. The frequencies of the lines in the hydrogen atom spectrum, for example, can be represented by a relation involving whole numbers. 

Explain why no lines in the Balmer series of the hydrogen atom spectrum have wavenumbers larger than about 27,434 cm". (This is called the series limit.)... 

The Balmer series is isolated from the other series of the hydrogen atom spectrum. This is not the case for all series. Determine the first value of n for which the hydrogen spectral series overlap. 

Construct a table of the first 50 lines of the first six series of the hydrogen atom spectrum. Can you predict the series limit in each case ... 

This is the Rydberg constant, R, from the hydrogen atom spectrum. Quantum mechanics therefore predicts the experimentally determined hydrogen atom spectrum. At this point, quantum mechanics predicts everything that Bohr s theory did and more, and so supersedes the Bohr theory of the hydrogen atom. 

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