Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 44, Problem 9SP
To determine
The number of states for a single electron in a hydrogen atom that would be available when the principle quantum number is
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For what energy levels in the hydrogen atom will we
not find l
2 states?
=
The hydrogen emission spectrum exhibits a line at 5.0010×10-19 J. If the final quantum state is n = 2, what is the initial quantum state of the transition corresponding to this line?
A hydrogen atom in its ground state may absorb a photon and be excited
What is the photon energy,
into the state with principal quantum number n = 2.
in electron volts?
OA: 3.976 OB: 4.652 OC: 5.443 OD: 6.369 OE: 7.451 OF: 8.718 OG: 10.200 OH: 11.934
Chapter 44 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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- Which of the following is a permissable set of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state). a) n = 6, l = -5, ml = +4, ms = +1/2 b) n = 4, l = -2, ml = +2, ms = -1/2 c) n = 2, l = 2, ml = +1, ms = -1/2 d) n = 5, l = 1, ml = -1, ms = +1/2 e) n = 3, l = 2, ml = -2, ms = -1arrow_forwardZirconium (Z= 40) has two electrons in an incomplete d sub- shell. (a) What are the values of n and e for each electron? (b) What are all possible values of me and m? (c) What is the electron configuration in the ground state of zirconium?arrow_forwardWhat is the value of n in the Balmer series for which the wavelength is 410.2 nm. If a hydrogen atom in the ground state absorbs a photon of energy 12.09 eV, to which state will the electron make a transition?arrow_forward
- An electron in an atom is in a state with / = 4. What is the minimum angle between L (angular momentum vector) and the z-axis?arrow_forwardAn electron is in a hydrogen atom with n = 2 and ℓ = 1. (a) Find all the possible angles between the orbital angular momentum vector and the z-axis. (b) Suppose the atom absorbs a photon and rises from the n = 2 and ℓ = 1 state to the n = 3 state. Using conversation of angular momentum, what are the possible values of the final value of ℓ in the n = 3 state?arrow_forwardConsider the atom having the electron configuration 1s2 2s2 2p6 3s2. Assume that the z components of both the orbital abd spin angular momenta of the electron in the 3p subshell are positive. What are the quantum numbers that describe the state of this electron. n=3 l=1 m=-1 s=1/2n=3 l=1 m=2 s=1/2n=3 l=2 m=1 s=1/2n=3 l=1 m=1 s=1/2n=3 l=2 m=2 s=-1/2 Can we say which one is correct?arrow_forward
- Given an electron in the n=4 state of a hydrogen atom. What values would you get for m_l (Azimuthal part: magnetic quantum number) when l = 0,1,2,3.arrow_forward(a) Make a chart showing all possible sets of quantum numbers l and ml for the states of the electron in the hydrogen atom when n = 4. How many combinations are there? (b) What are the energies of these states?arrow_forwardAngular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², Lz = m₁h, 1 = 0,1,2,..., n 1 - m₁ = 0, ±1, ±2, ..., ±l 3 S² = s(s+1) h² = =h²₁ 4 Consider an excited electron (n > 1) on an H-atom. The total angular momentum ] = L + Š, whose magnitude and z-component follow a similar dependence to some quantum numbers j and m; as J² = j(j + 1)ħ², Jz = mjħ 1 S₂ = m₂h = ± = h Where j and m; are quantum numbers which assume values that jumps in steps of one such that j is non-negative and −j ≤ m¡ ≤ j. For a given quantum number 1, what are the (two) possible values for j? Clue: we can use the vector sum relation of angular momenta, then consider the z-component only.arrow_forward
- Write out the electronic configuration of the ground state for nitrogen (Z = 7). (b) Write out the values for the possible set of quantum numbers n, l, ml, and ms for the electrons in nitrogen.arrow_forwardAn experimental nanoelectronic device confines electrons to a layer only 0.92 nm thick, which acts like a one-dimensional infinite square well. Find the energies of the ground state and the first two excited states of these electrons. Constants: h = 6.626-10-34 [J-s], m= 9.109-10-³¹ [kg] and ħ=h/2π.arrow_forwardAssuming non-interacting electrons, what is the ground state energy for the hydrogen anion: H- (one proton/2 electrons) in electron volts?arrow_forward
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