How electrons show wave phenomenon within an atom?

In summary: In that case, the equation of motion would give fractional values for the coefficients and the wave model would not be correct.
  • #1
Parveen
3
0
what is wave and how electrons show wave phenomenon within an atom. like in Px or Py or Pz orbital how electrons interchanged from one dumble to another?
 
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  • #2
Just as a classical wave can be expressed as a sum over normal modes, a quantum wave can be expressed as a sum over orbital modes.

When you measure the energy and angular momentum of an electron in an atom, you get a single result, and the state related to that single result is a single orbital. Even though at one time the state of an electron is purely in one orbital, interactions with other particles and the environment may cause the state of the electron to slowly change over time so that it becomes a sum over multiple orbitals again. When the state of the electron becomes a sum over multiple orbitals, it becomes likely that when you make later measurements, you get different results, corresponding to different orbitals.
 
  • #3
Parveen said:
like in Px or Py or Pz orbital how electrons interchanged from one dumble to another?

I don't think electrons are interchanged between dumbbells or lobes. Those are simply probability maps which show you where an electron is likely to be found. Until you make a measurement you don't know where the electron is. I don't think you can even say that it has a set position.
 
  • #4
Parveen said:
what is wave and how electrons show wave phenomenon within an atom. like in Px or Py or Pz orbital how electrons interchanged from one dumble to another?
The p_x and p_y are standing waves, linear combinations of counterrotating spherical harmonics Y_{1,-1} and Y_{1,1}
 
  • #5
Parveen said:
what is wave and how electrons show wave phenomenon within an atom. like in Px or Py or Pz orbital how electrons interchanged from one dumble to another?

Whoa! People actually understood this? What exactly is a "dumble"?

I'll make up my own question: how is the "wave" characteristics manifested in an atom?

Answer: via the existence of a PHASE factor in the electronic wavefunction.

Zz.
 
  • #6
ZapperZ said:
What exactly is a "dumble"?

What goes through a Dumbledore.

He means "dumbbell".
 
  • #7
Parveen said:
what is wave and how electrons show wave phenomenon within an atom
The Hydrogen atom is the easiest one to consider. The way they 'show it' is in the spectrum of the em waves that are emitted from the atom when it is excited. The fact that only a limited number of transitions take place (evidence is the limited number of frequencies emitted) implies that there are a limited set of energy levels in the atom. (The energy is quantised). A suitable explanation for this is that the configuration of the electron must be in the form of standing waves. The solution to the equation of motion of the electron gives integer values for the coefficients if you assume a wavelike nature for the bound electrons. That model fits the evidence so it's accepted as being the right one (or 'a' right one).
That is for a 'bound' electron. When an electron is free of any nearby nucleus, it can have any value of energy and so there is no standing wave involved.
 

1. How do electrons demonstrate wave behavior within an atom?

Electrons within an atom exhibit wave-like properties, known as wave-particle duality. This means that they behave as both particles and waves, depending on the experimental setup.

2. What is the significance of wave behavior in the electron cloud?

The wave-like behavior of electrons allows for the formation of distinct energy levels within the electron cloud of an atom. This leads to the stability and organization of atoms, which is essential for the formation of molecules and the existence of matter.

3. How does the wave nature of electrons contribute to the phenomenon of electron orbitals?

The wave properties of electrons allow them to exist in specific orbitals, which are regions of space where the probability of finding an electron is highest. These orbitals are defined by the wave function, which describes the behavior of an electron in a specific energy level.

4. Can the wave behavior of electrons be observed directly?

No, the wave-like nature of electrons can only be observed indirectly through experiments and mathematical models. This is due to the Heisenberg uncertainty principle, which states that it is impossible to know both the position and momentum of an electron simultaneously.

5. How does the wave-particle duality of electrons impact modern physics?

The concept of wave-particle duality, first observed in electrons, has revolutionized our understanding of the fundamental nature of matter. It has also played a crucial role in the development of quantum mechanics and has led to groundbreaking discoveries in areas such as particle physics and nanotechnology.

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