Chemistry, asked by ABRARUL, 1 year ago

Explain quantum mechanical model of atom ?

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Answered by UtpalKalita
46
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The quantum mechanical model of the atom uses complex shapes of orbitals (sometimes called electron clouds), volumes of space in which there is likely to be an electron. So, this model is based on probability rather than certainty.

The Quantum Mechanical Model of the Atom.Energy Quantized.
After Max Planck determined that energy is released and absorbed by atoms in certain fixed amounts known as quanta, Albert Einstein took his work a step further, determining that radiant energy is also quantized—he called the discrete energy packets photons. Einstein’s theory was that electromagnetic radiation (light, for example) has characteristics of both a wave and a stream of particles.


The Bohr Model of the Atom

In 1913, Niels Bohr used what had recently been discovered about energy to propose his planetary model of the atom. In the Bohr model, the neutrons and protons are contained in a small, dense nucleus, which the electrons orbit in defined spherical orbits. He referred to these orbits as “shells” or “energy levels” and designated each by an integer: 1, 2, 3, etc. An electron occupying the first energy level was thought to be closer to the nucleus and have lower energy than one that was in a numerically higher energy level. Bohr theorized that energy in the form of photons must be absorbed in order for an electron to move from a lower energy level to a higher one, and is emitted when an electron travels from a higher energy level to a lower one. In the Bohr model, the lowest energy state available for an electron is the ground state, and all higher-energy states are excited states.

Orbitals and Quantum Numbers

In the 1920s, Werner Heisenberg put forth his uncertainty principle, which states that, at any one time, it is impossible to calculate both the momentum and the location of an electron in an atom; it is only possible to calculate the probability of finding an electron within a given space. This meant that electrons, instead of traveling in defined orbits or hard, spherical “shells,” as Bohr proposed, travel in diffuse clouds around the nucleus.

When we say “orbital,” the image below is what we picture in our minds.


To describe the location of electrons, we use quantum numbers. Quantum numbers are basically used to describe certain aspects of the locations of electrons. For example, the quantum numbers n, l, and ml describe the position of the electron with respect to the nucleus, the shape of the orbital, and its special orientation, while the quantum number ms describes the direction of the electron’s spin within a given orbital.

Below are the four quantum numbers, showing how they are depicted and what aspects of electrons they describe.

Principal quantum number (n)Has positive values of 1, 2, 3, etc. As nincreases,  the orbital becomes larger—this means that the electron has a higher energy level and is less tightly bound to the nucleus.Second quantum number or azimuthal quantum number (l )Has values from 0 to n – 1. This defines the shape of the orbital, and the value of lis  designated by the letters s, p, d, and f, which correspond to values for l of 0, 1, 2, and 3. In other words, if the value of l is 0, it is expressed as s; if l = 1 = p, l = 2 = d, and l = 3 = f.Magnetic quantum number (ml)Determines the orientation of the orbital in space relative to the other orbitals in the atom. This quantum number has values from -l through 0 to +l.Spin quantum number (ms)Specifies the value for the spin and is either +1/2 or -1/2. No more than two electrons can occupy any one orbital. In order for two electrons to occupy the same orbital, they must have opposite spins.

Orbitals that have the same principal quantum number, n, are part of the same electron shell. For example, orbitals that have n = 2 are said to be in the second shell. When orbitals have the same n and l, they are in the same subshell; so orbitals that have n = 2 and l = 3 are said to be 2f orbitals, in the 2f subshell.

Finally, you should keep in mind that according to the Pauli exclusion principle, no two electrons in an atom can have the same set of four quantum numbers. This means no atomic orbital can contain more than two electrons, and if the orbital does contain two electrons, they must be of opposite spin.


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Answered by DiyaTsl
4

Answer:

  • The quantum mechanical model of the atom uses complex shapes of orbitals (sometimes called electron clouds), volumes of space where an electron is likely to reside. So this model is based on probability rather than certainty.
  • After Max Planck had established that atoms release and absorb energy in certain fixed amounts known as quanta, Albert Einstein took his work a step further and found that radiant energy is also quantized: he called the discrete packets of energy photons. Einstein's theory was that electromagnetic radiation (e.g. light) exhibits properties of both a wave and a stream of particles.
  • In 1913, Niels Bohr used recent discoveries about energy to propose his planetary model of the atom.
  • In the Bohr model, the neutrons and protons are contained in a small, dense nucleus, around which the electrons orbit on specific orbits. He referred to these orbits as "shells" or "energy levels" and denoted them with an integer: 1, 2, 3, etc.
  • An electron occupying the first energy level was thought to be closer to the nucleus and less energy than one Has. this was  a numerically higher energy level in.
  • Bohr theorized that energy in the form of photons must be absorbed  for an electron to move from a lower  to a higher energy level, and  emitted when an electron moves from a higher  to a lower energy level. In the Bohr model, the lowest energy state available to an electron is the ground state, and all higher energy states are excited states.

Orbitals and quantum numbers :

  • In the 1920s, Werner Heisenberg introduced his uncertainty principle, which states that it is impossible to calculate both the momentum and the location of an electron in an atom at any given time; It is only possible to calculate the probability of finding an electron within a given space. This meant that  instead of moving in defined orbits or hard, spherical "shells" as Bohr had suggested, the electrons traveled around the nucleus in diffuse clouds.
  • When we say "orbital," the image below is what we imagine.To describe the location of the electrons we use quantum numbers. Basically, quantum numbers are  used to describe certain aspects of the position of electrons.
  • For example, the quantum numbers n, l, and m describe the electron's position relative to the nucleus, the shape of the orbital, and its particular orientation, while the quantum number ms describes the direction of the electron's spin within a given orbital.

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