EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 39, Problem 37P
To determine
The proof that the total
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(ii):Find the ground state L and S of oxygen (Z=8). Also find the matter wave
associated with 111 MeV α-particles. Moreover, using L-S coupling find the
ground state term for nd8
.
(a) Determine the wavelength of the second Balmerline (n=4 to n=2 transition) using Fig. 27–29. Determine likewise (b) the wavelength of the second Lyman line and (c) the wavelength of the third Balmer line.
(c)
Slater type orbitals (STOs) and Gaussian type orbitals (GTOS) can be used as
basis functions within the linear combination of atomic orbitals (LCAO) when
solving the Hartree-Fock equations. Compare and contrast GTOS and STOS,
explaining the advantages and disadvantages of using GTOS rather than STOS.
Chapter 39 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11P
Ch. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46P
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- For a 3d electron in an external magnetic field of 2.50 × 10-3 T, find (a) the current associated with the orbital angular momentum, and (b) the maximum torque.arrow_forwardDo the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forwardAre the angular momentum vectors L necessarily S aligned?arrow_forward
- Show that the total angular momentum is zero for afilled subshellarrow_forwardAt what radius in the H atom does the radial distribution function of the ground state have (i) 50 per cent, (ii) 75 per cent of its maximum value?arrow_forwardAn atom in a 3d state emits a photon of wavelength 475.082 nm when it decays to a 2p state. Find the allowed transitions if the atom is now in an external magnetic field of 3.500 T. Ignore the effects of the electron’s spin.arrow_forward
- How many orbitals are in the subshell if the angular momentum quantum number is l=2?arrow_forwardDiscuss in detail (in words only) the Radial Wave Functions in Quantum Mechanics.arrow_forward(3) Calculate (x²) for in the quantum state {n = 2, l = 1, m = average can be expressed more simply as (2,1,1|x2|2,1,1) where the ket |n, l, m) defines the quantum state 1} for a hydrogen atom. Notice that this of a hydrogen atom, but, as done in class, the spin quantum number is not included.arrow_forward
- A hydrogen atom is immersed in a magnetic field so that its energy levels split according to the Zeeman effect. Neglecting any effects due to electron spin, how many unique energy levels are available to an electron in the 4f subshell? 28arrow_forwarda) Consider that the first line of the Balmer series of the 1H spectrum is due to the transitions between the states described by the 3p and 2s orbitals. This line suffers unfolding when the system is subject to an intense magnetic fieldexternal. Calculate the wave numbers (in cm-1 ) of the lines observed when a10,0000T magnetic field is applied. (hint: pay attention to the numberssignificant and approximations made in the calculation steps)arrow_forward(II) Is the use of nonrelativistic formulas justified in the Bohr atom? To check, calculate the electron's velocity, v, in terms of c, for the ground state of hydrogen, and then calculate V1 - v²/c².arrow_forward
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