Examine the radial factor, R(r), and 95% probability surface below for a particular orbital of the hydrogen atom. What is the correct orbital designation for this orbital? R(r) Z Enter the appropriate n value: Select the appropriate subshell and orientation: + y ○ Px ору ○ Pz O dxy ○ dxz Odyz Odx2-12 Odz2

Examine the radial factor, R(r), and 95% probability surface below for a particular orbital of the hydrogen atom. What is the correct orbital designation for this orbital? R(r) Z Enter the appropriate n value: Select the appropriate subshell and orientation: + y ○ Px ору ○ Pz O dxy ○ dxz Odyz Odx2-12 Odz2

Chemistry & Chemical Reactivity

9th Edition

ISBN:9781133949640

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter6: The Structure Of Atoms

Section: Chapter Questions

Problem 45PS

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Similar questions

• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.
According to a relationship developed by Niels Bohr, for an atom or ion that has a single electron, the total energy, En, of an electron in a stable orbit of quantum number n is En = [Z2/n2] (2.179 1018 J) where Z is the atomic number. Calculate the ionization energy for the electron in a ground-state He+ ion.
(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 is the maximum number of electrons that can occupy a f subshell (l = 3)?
How far from the nucleus in angstroms (1 angstrom =11010 m) is the electron in a hydrogen atom if it has an energy of 8.721020 J?
What is the wavelength of the electromagnetic radiation emitted from a hydrogen atom when the electron undergoes the transition n = 4 to n = 1? In what region of the spectrum does this line occur? (See Figure 7.5.)
Which of the following equations describe particle-like behavior? Which describe wavelike behavior? Do any involve both types of behavior? Describe the reasons for your choices. (a) c=v (b) E=mv22 (c) r=n2a0Z (d) E=hv (e) =hmv
Spectroscopists have observed He+ in outer space. This ion is a one-electron species like a neutral hydrogen atom. Calculate the energy of the photon emitted for the transition from the n = 5 to the n = 3 state in this ion using the equation: En = − Z2/n2 (2.179 × 10−18 J). Z is the positive charge of the nucleus and n is the principal quantum number. In what part of the electromagnetic spectrum does this radiation lie?
Investigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.
6.93 A mercury atom is initially in its lowest possible (or ground state) energy level. The atom absorbs a photon with a wavelength of 185 nm and then emits a photon with a frequency of 4.9241014HZ . At the end of this series of transitions, the atom will still be in an energy level above the ground state. Draw an energy-level diagram for this process and find the energy of this resulting excited state, assuming that we assign a value of E = 0 to the ground state. (This choice of E = 0 is not the usual convention, but it will simplify the calculations you need to do here.)
Answer the following questions. (a) What characteristic of an atomic orbital does the quantum number ms describe? (b) Does a photon with a frequency of 35.8 Hz have more or less energy than one with a frequency of 125 Hz? (c) How many orbitals can be associated with the following set of quantum numbers:n=3, l=2? (d) Is a sample of ZnCl2 containing the Zn2+ ion diamagnetic?