what plays the role of confining box in a hydrogen atom.

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Answer 1

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

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Students have asked these similar questions

Problem 7: A hydrogen atom has the wave function (r), where n=2,1-1, m=0. a) What is the magnitude of the orbital angular momentum of the electron around the proton b) What is the magnitude of the z-component of the orbital angular momentum of the electron around the proton? c) Sketch the shape of the radial part of the function as a function of distance, r, from the proton. d) Find the number of degenerate states, having the same energy as the state that has the above wave function.

In a hydrogen atom, the electron is at a distance of 4.768 Å from the nucleus. The angular momentum of the electron is......

Angular 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.

Answer 2

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

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Answer 3

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Answer 6

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Answer 7

Chapter 36, Problem 1FTD

To determine

what plays the role of confining box in a hydrogen atom.

Answer 8

Expert Solution & Answer

Answer to Problem 1FTD

Quantum numbers associated with the atom plays the role of confinement box.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Particle in a box is a quantum mechanical treatment for finding the energy levels of atoms and molecules or general systems. Hydrogen is the simplest atom that we can study. And the results associated with hydrogen would help us find the results for other hydrogen like atoms.

Here we have to find the entity that acts as the confining box if we consider hydrogen atom to be confined in a box. When we solve the Schrodinger equations of this hydrogen atom we get the various quantum numbers that make the angular momentum and energy of the system quantified.

Write the equation to get the orbital angular momentum.

L=l(l+1)ℏ

Here,

L is the angular momentum

l is the angular momentum of the atom.

Thus we can see that the angular momentum of the atom is an integral multiple of ℏ and thus it is quantified or confined. Therefore the quantum numbers that we get from solving Schrodinger equation plays the role of confining box.

Conclusion:

Quantum numbers associated with the atom plays the role of confinement box.

Answer 12

Ch. 36.1 - Prob. 36.1GI Ch. 36.2 - Prob. 36.2GI Ch. 36.3 - Prob. 36.3GI Ch. 36.4 - Prob. 36.4GI Ch. 36.5 - Prob. 36.5GI Ch. 36 - Prob. 1FTD Ch. 36 - Prob. 2FTD Ch. 36 - Prob. 3FTD Ch. 36 - Prob. 4FTD Ch. 36 - Prob. 5FTD

what plays the role of confining box in a hydrogen atom.

Concept explainers

what plays the role of confining box in a hydrogen atom.

Answer to Problem 1FTD

Explanation of Solution

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