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What is a quantum number, and how does it arise?

Short Answer

Expert verified

A quantum number is a number that portrays the condition of a molecule. A bunch of quantum numbers might be expected to portray the state completely.Quantum numbers come up when we tackle the Schrodinger condition with forced limit conditions to get a genuinely satisfactory arrangement.

Step by step solution

01

Step 1:Define quantum numbers

In science and quantum physical science, quantum numbers exhibit the upsides of preserved amounts in the elements of a quantum framework. Quantum numbers are used to show the state of an atom or molecule. It gives us all the necessary information that is important to understand the nature, properties, and characteristics of the entity.

02

The rise of quantum numbers

A quantum number is a number that portrays the condition of a molecule. A bunch of quantum numbers might be expected to portray the state completely. Quantum numbers come up when we tackle the Schrodinger condition with forced limit conditions to get a genuinely satisfactory arrangement. These limit conditions led to standing waves and quantized detectable amounts (like energy) that are portrayed by quantum numbers.

The four quantum numbers are Principal quantum number, azimuthal quantum number, magnetic quantum number, and Spin quantum number. Each quantum number tells a different story about the respective atom/ molecule.The principal quantum number gives information about the shells, azimuthal quantum numbers tell us about the subshells, and magnetic and spin quantum numbers tell us about how electrons are settled in the orbits.

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Most popular questions from this chapter

In Appendix G. the operator for the square of the angular momentum is shown to be

L^2=-h2[cscฮธโˆ‚โˆ‚ฮธsinฮธโˆ‚โˆ‚ฮธ+csc2ฮธโˆ‚2โˆ‚ฯ•2]

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A particular vibrating diatomic molecule may be treated as a simple harmonic oscillator. Show that a transition from that n=2state directly to n=0ground state cannot occur by electric dipole radiation.

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A hydrogen atom electron is in a 2p state. If no experiment has been done to establish a z-component of angular momentum, the atom is equally likely to be found with any allowed value of LZ. Show that if the probability densities for these different possible states are added (with equal weighting), the result is independent of both ฯ•andฮธ

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