Question

Three quantum numbers are derived from Schrodinger’s equation that describe the probability of finding an electron around a nucleus: the principal quantum number, the angular momentum quantum number, and the magnetic quantum number. Explain each quantum number, including associated shapes, numbers, letters and values.

(please help)

Answer 1

Principal Quantum Number: designates the principal electron shell. Angular Momentum Quantum Number-This quantum number determines it's shape of an orbital and thus it's angular distribution. This quantum number determines the number of orbital numbers, their orientation within the sub-shell.

Principal Quantum Number, n

It describes the size of its orbital and of the main energy level. It is represented by n. Where, n = 1,2,3,4....stands for K, L, M, N shell and so on..

ngular Momentum Quantum Number l

It describes the shape of the orbital and thus the angular distribution. It can take from 0 to (n - 1). That is l = 0,1,2,...,(n - 1)

The magnetic Quantum Number, m

It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of will be -2, -1, 0, +1, +2.

Step-by-step explanation:

Answer 2

Principal Quantum Number (n) = energy level (1s2)

Angular Momentum Quantum Number (l) = sub-shell (1s2)

Magnetic Quantum Number (mi) = specific orbital electron occupies

range of (n) = 1-7

range of (I) = s, p, d , f

Step-by-step explanation: