If we treat an electron in a hydrogen atom as a wave and require an integer number of wavelengths...
If we treat an electron in a hydrogen atom as a wave and require an integer number of wavelengths in a circular path around the nucleus, then
a. we can show that the electron will eventually merge with the nucleus, making a neutron.
b. we can show that the electron will not be bound.
Homework Answers
According to Bohr's atomic model, standing electron wave is continuous over the circumference of the stationary orbit that the electron lie in, and the circumference is a integral multiple of its wavelength. So both of the above options are not correct.
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If we treat an electron in a hydrogen atom as a wave and require an integer number of wavelengths...
18. How does the wave model of electrons orbiting the Hydrogen nucleus account for the fact that the electrons can have only discrete energy levels? a) the number of wavelengths and the nucleus a...
18. How does the wave model of electrons orbiting the Hydrogen nucleus account for the fact that the electrons can have only discrete energy levels? a) the number of wavelengths and the nucleus are complementary b) only an integral number of wavelengths are allowed for orbits c) the electrons all have the same charge d) the protons have the same charge as electron but positive e) quantum effects are negligible at this range
18. How does the wave model of...
4. The wave function for an electron in the ground state of a hydrogen atom is...
4. The wave function for an electron in the ground state of a hydrogen atom is How much more likely is the electron to be at a distance a from the nucleus than at a distance a-/2? Than at a distance 2a ?
An electron wave making a standing wave in a hydrogen atom has a wavelength of 8.94...
An electron wave making a standing wave in a hydrogen atom has a wavelength of 8.94 × 10−11 m. If the mass of an electron is 9.11 × 10−31 kg, what is the velocity of the electron according to de Broglie equation?
In the Bohr model, the hydrogen atom consists of an electron in a circular orbit of...
In the Bohr model, the hydrogen atom consists of an electron in a circular orbit of radius a0 = 5.29 x 10-11 m around the nucleus. Using this model, and ignoring relativistic effects, what is the speed of the electron? The mass of the electron is 9.11 X 10-31 kg.
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point...
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point particle orbiting the nucleus at a distance of Og . 5.3. 10-11 m Reality is not so simple, however. The charge of the electron is distributed around the nucleus in a spherically symmetrie, nonuniform manner. (ais merely the most probable distance between the electron and the nucleus.) In this problem, we will explore the electric fields within a hydrogen atom using Gauss' law. Treat...
5. A wave function for an electron in an atom is called an atomic orbital; this...
5. A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described...
The electron in a hydrogen atom makes a transition from the n = 4 state to...
The electron in a hydrogen atom makes a transition from the n = 4 state to the n = 2 state, as indicated in the image. (Figure 1) Figure 1 of 1The figure shows a model of an atom including a nucleus and four circular orbits around the nucleus. An electron jump occurs from the fourth to the second orbit from the center. A photon moves horizontally leftward. Momentum of the photon is directed horizontally rightward, and momentum of the...
Q-3 (25pts) The wave function of a ns electron in a hydrogen atom is r -r/(2a)...
Q-3 (25pts) The wave function of a ns electron in a hydrogen atom is r -r/(2a) y (,0,0)=1/27 927 (2-3) a) (10pts) Show that y function is already normalized. b) (10pts) Find the energy (En) of the electron. c) (5pts) Write the principle quantum number (n), orbital quantum number (?), and magnetic quantum number (mi) of the hydrogen electron state.
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting...
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting a massive, stationary proton in a circular path of radius ao, equal to 0.529*10^-10 m. Calculate the speed of an electron in this circular orbit. Calculate the electric potential at a radius 0.4*ao, measured from the proton. Is gravity a significant factor in this situation? Does the problem statement make any assumptions that might be invalid? pt a. (7 pts) Find the value of...
Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions...
Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions (orbitals) that describe the behavior of the electron. Each function is characterized by 3 quantum numbers: n, 1, and my Sofringer Ervin Schrödinger n is known as the L is known as the mis known as the quantum number quantum number. quantum number. n specifies / specifies m/ specifies A. The orbital orientation B.The subshell - orbital shape. C.The energy and average distance from...
18. How does the wave model of electrons orbiting the Hydrogen nucleus account for the fact that the electrons can have only discrete energy levels? a) the number of wavelengths and the nucleus are complementary b) only an integral number of wavelengths are allowed for orbits c) the electrons all have the same charge d) the protons have the same charge as electron but positive e) quantum effects are negligible at this range
18. How does the wave model of...
4. The wave function for an electron in the ground state of a hydrogen atom is How much more likely is the electron to be at a distance a from the nucleus than at a distance a-/2? Than at a distance 2a ?
BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point particle orbiting the nucleus at a distance of Og . 5.3. 10-11 m Reality is not so simple, however. The charge of the electron is distributed around the nucleus in a spherically symmetrie, nonuniform manner. (ais merely the most probable distance between the electron and the nucleus.) In this problem, we will explore the electric fields within a hydrogen atom using Gauss' law. Treat...
5. A wave function for an electron in an atom is called an atomic orbital; this atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described...
Q-3 (25pts) The wave function of a ns electron in a hydrogen atom is r -r/(2a) y (,0,0)=1/27 927 (2-3) a) (10pts) Show that y function is already normalized. b) (10pts) Find the energy (En) of the electron. c) (5pts) Write the principle quantum number (n), orbital quantum number (?), and magnetic quantum number (mi) of the hydrogen electron state.
The Bohr model of the hydrogen atom treats the atom as consisting of an electron orbiting a massive, stationary proton in a circular path of radius ao, equal to 0.529*10^-10 m. Calculate the speed of an electron in this circular orbit. Calculate the electric potential at a radius 0.4*ao, measured from the proton. Is gravity a significant factor in this situation? Does the problem statement make any assumptions that might be invalid? pt a. (7 pts) Find the value of...
Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions (orbitals) that describe the behavior of the electron. Each function is characterized by 3 quantum numbers: n, 1, and my Sofringer Ervin Schrödinger n is known as the L is known as the mis known as the quantum number quantum number. quantum number. n specifies / specifies m/ specifies A. The orbital orientation B.The subshell - orbital shape. C.The energy and average distance from...
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