Question

define quantum numbers.??​

Answer 1

Hey sweetie (◍•ᴗ•◍)❤

Quantum numbers describe values of conserved quantities in the dynamics of a quantum system. In the case of electrons, the quantum numbers can be defined as "the sets of numerical values which give acceptable solutions to the Schrödinger wave equation for the hydrogen atom."

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Answer 2

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$\large \sf(i) \: {\underline {\blue{Quantum \: numbers : - }}}$

The numbers which are used to determine the position of an electron in an atom , such numbers are called quantum numbers.Some of the quantum numbers are listed below

• principal quantum number (n)

• azimuthal quantum number(l)

• magnetic quantum number(m)

• Spin quantum number(s)

The quantum numbers n , l , m are obtained by schrodienger wave equation.

◉ PRINCIPAL QUANTUM NUMBER

It is represented by 'n'. It talks about the orbits /shells.Maximum number of electrons in an orbit is given by ,2n²

◉ AZIMUTHAL QUANTUM NUMBER

It is represented by 'l'. It talks about the subshell and shape of orbitals.The values of l ranges from 0 to n - 1

◉ MAGNETIC QUANTUM NUMBER

.It is represented by 'm'. It talks about the orientation in space

◉ SPIN QUANTUM NUMBER

It is represented by 's'. It talks about the spinning (or) rotation of an electron

$\huge\rm{\underline{\underline{\orange{Additional\:Info:-}}}}$

• Maximum number of orbitals in an shell is given by n²

• Angular momentum of an electron in an orbit is given by nh/2π

• Number of electrons in an subshell is given by 2(2l + 1)

• Number of orbitals in a subshell is given by 2l + 1