Answer to Question #73736 in Physical Chemistry for Akash kumar

Question

Write the values of four quantum numbers for 3d electrons?

Answer 1

Solution.


The principal quantum number (n) describes the size of the orbital. Orbitals for which n = 2 are larger than those for which n = 1, for example. Because they have opposite electrical charges, electrons are attracted to the nucleus of the atom. Energy must therefore be absorbed to excite an electron from an orbital in which the electron is close to the nucleus (n = 1) into an orbital in which it is further from the nucleus (n = 2). The principal quantum number therefore indirectly describes the energy of an orbital.
The angular quantum number (l) describes the shape of the orbital. Orbitals have shapes that are best described as spherical (l = 0), polar (l = 1), or cloverleaf (l = 2). They can even take on more complex shapes as the value of the angular quantum number becomes larger.
Principal Quantum Number (n)=3.
Azimuthal Quantum Number (l)=2.
Magnetic Quantum Number (ml)=−2,−1,0,+1,+2.
Spin Quantum Number (ms)=+1/2,−1/2.
Answer: n = 3, l = 2, ml =−2,−1,0,+1,+2, ms=+1/2,−1/2.