What are the possible quantum states of an electron relaxing from n=4 to n=3?

In summary, a quantum state of an electron is the specific arrangement and properties of an electron in an atom, including its energy, position, and spin. An electron can have an infinite number of quantum states due to the continuous variables described by quantum mechanics. The difference between a ground state and excited state is that the former is the lowest energy state while the latter has higher energy. An electron's spin is a quantum property that describes its intrinsic angular momentum and can have a value of either "up" or "down". Quantum states of electrons are important in chemistry as they determine the chemical properties and behavior of elements and compounds, allowing us to predict and explain chemical reactions.
  • #1
jisbon
476
30
Homework Statement
State possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l
Relevant Equations
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Hi all,

I'm right now confused about this.
As far as I know, when changing from a level to another, the change in l (subshell) can only be a difference of 1, and ##m_{l}## can be the same or a difference of 1.
In this case, since the question wants me to state possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l,
is the answer simply just 3,2 / 3,1 / 3,0 ?

Cheers
 
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  • #2
You're probably expected to enumerate the possible initial states with ##n=4## and indicate the possible final states for each of the initial states.
 

1. What is a quantum state of an electron?

A quantum state of an electron refers to the specific energy level and position that an electron occupies within an atom. It is described by a set of quantum numbers that determine the electron's energy, orbital shape, and orientation.

2. How are quantum states of an electron different from classical states?

In classical physics, the state of an object is deterministic and can be precisely measured. In quantum physics, the state of an electron is described by probabilities and cannot be measured without affecting the state itself. Additionally, quantum states of an electron can exist in multiple energy levels simultaneously, unlike classical states which can only exist in one state at a time.

3. What is the significance of quantum states of an electron?

Quantum states of an electron play a crucial role in understanding the behavior and properties of atoms, molecules, and materials. They also have practical applications in technologies such as transistors, lasers, and quantum computing.

4. How are quantum states of an electron determined?

The quantum states of an electron are determined by solving the Schrödinger equation, which is a mathematical equation that describes the behavior of quantum particles. The solution gives the probability distribution of the electron's position and energy, which can then be used to determine its quantum state.

5. Can the quantum state of an electron be changed?

Yes, the quantum state of an electron can be changed through various processes such as absorption or emission of photons, collisions with other particles, or interactions with external fields. These changes can alter the energy level, orbital shape, and orientation of the electron, resulting in a different quantum state.

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