Erwin Schrödinger Use the References to access important values if needed for this question. Orbitals which result from solving the Schrödinger wave equation can be represented by electron "cloud" pictures. The shapes of the orbitals are distinguished by their nodes, places where the electron density equals zero. Based upon the number of spherical and angular nodes, label the orbitals below as 1s, 2p, etc. Specify the value of n and / for each: This is a orbital. n = and / = This is a n= orbital. and / = This is a orbital. n = and / =

Erwin Schrödinger Use the References to access important values if needed for this question. Orbitals which result from solving the Schrödinger wave equation can be represented by electron "cloud" pictures. The shapes of the orbitals are distinguished by their nodes, places where the electron density equals zero. Based upon the number of spherical and angular nodes, label the orbitals below as 1s, 2p, etc. Specify the value of n and / for each: This is a orbital. n = and / = This is a n= orbital. and / = This is a orbital. n = and / =

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 9P: Use the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to...

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Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

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Construct an energy level diagram showing all orbitals for the hydrogen atom up to n=5, labeling each orbital with its appropriate quantum numbers. How many different orbitals are in each shell?
Use the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to show that the probability of finding an electron in that orbital anywhere in the x-y plane is 0. What are the nodal planes for a dxz orbital and for a dx2y2 orbital?
What major assumption (that was analogous to what had already been demonstrated for electromagnetic radiation) did de Broglie and Schrodinger make about the motion of tiny panicles?
• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.
Is the following statement true or false? The hydrogen atom has a 3s orbital. Explain.
Use the aufbau procedure to obtain the electron configuration and orbital diagram for atoms of the following elements. (a) Be (b) B (c) Ne (d) Rb
In 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.
What does it mean to say that the hydrogen atom has discrete energy levels? How is this fact reflected in the radiation that excited hydrogen atoms emit?
(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom.
What type of electron orbital (i.e., s, p, d, or f) is designated by an electron with quantum numbers (a) n=1,l=0,m l =0(b) n=3,l=2,m l =1? (c) n=4,l=3,m l =3
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Suppose that the spin quantum number could have the values 12,0 and 12 . Assuming that the rules governing the values of the other quantum numbers and the order of filling sublevels were unchanged, (a) what would be the electron capacity of an s sublevel? a p sublevel? a d sublevel? (b) how many electrons could fit in the n=3 level? (c) what would be the electron configuration of the element with atomic number 8? 17?