bei48482_FM
Quantum Theory of the Hydrogen Atom 207 Example 6.1 Find the ground-state electron energy E 1 by substituting the radial wave fu ...
values the electron can have are specified by the formula EnE 1 n^2. The quantiza- tion of electron energy in the hydrogen ...
Quantum Theory of the Hydrogen Atom 209 Since the orbital kinetic energy of the electron and the magnitude of its angular moment ...
This peculiar code originated in the empirical classification of spectra into series called sharp, principal, diffuse, and funda ...
Quantum Theory of the Hydrogen Atom 211 h h h –2 0 2 Lz ml = 2 l = 2 ml = 1 ml = 0 ml = –1 ml = –2 h h h L = l(l + 1) = 6 Fi ...
direction of Lis not fixed, as in Fig. 6.6, and so the average values of Lxand Lyare 0, although Lzalways has the specific value ...
Quantum Theory of the Hydrogen Atom 213 Probability of Finding the Electron The probability densityof the electron at the point ...
214 Chapter Six As and are normalized functions, the actual probability P(r) drof finding the elec- tron in a hydrogen atom some ...
Since dV r^2 sindr ddwe have for the expectation value of 1 r ^ 0 ^2 dV The integrals have the respective values ...
216 Chapter Six spherically symmetric: it has the same value at a given rin all directions. Electrons in other states, however, ...
Quantum Theory of the Hydrogen Atom 217 and are shown for several atomic states. (The quantity plotted is ^2 , not ^2 dV. ...
218 Chapter Six states are not. The pronounced lobe patterns characteristic of many of the states turn out to be significant in ...
Quantum Theory of the Hydrogen Atom 219 We next consider an electron that shifts from one energy state to another. A system migh ...
220 Chapter Six The electron’s position therefore oscillates sinusoidally at the frequency (6.33) When the electron is in sta ...
The selection rule requiring that lchange by 1 if an atom is to radiate means that an emitted photon carries off the angular mom ...
222 Chapter Six Richard P. Feynman(1918– 1988) was born in Far Rockaway, a suburb of New York City, and studied at the Massachus ...
6.10 ZEEMAN EFFECT How atoms interact with a magnetic field In an external magnetic field B,a magnetic dipole has an amount of p ...
(a) μ = IA (b) μ = –( 2 em)L μ B L e v μ I B Area = A Figure 6.16(a) Magnetic moment of a current loop enclosing area A. (b) M ...
Quantum Theory of the Hydrogen Atom 225 Figure 6.17In the normal Zeeman effect a spectral line of frequency 0 is split into th ...
226 Chapter Six EXERCISES To strive, to seek, to find, and not to yield. —Alfred, Lord Tennyson 6.3 Quantum Numbers Why is it n ...
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