Question

CHEM 103 Homework 4 5. (15 points): The Bohr model was a one-dimensional model that used one quantum number describe the distribution of electrons in the atom. The only information that was important we the size of the orbit, which was described by the n quantum number. Schrodinger's moder allowed the electron to occupy three-dimensional space. It therefore required three coordinates, or three quantum numbers, to describe the orbitals in which electrons can be found. Based on Schrodinger's model answer the following: a) What is the maximum number of electrons in an atom that can have the following quantum numbers? n=4 = 2(2.4 +1) = 2 (8+) = 118 elections n=7 = 1982 von 2017-18 b) Give n and I quantum numbers, determine the angular and radial nodes and sketch the shape of following orbitals (don't forget to draw nodes). (ii) 4s (i) 3d (iii) 4p

Answer 1

Solution (a) n=4 I can be Onn 1-4 - 2e 6e 44 - 10e 446 148 32e- of total no. of é = 2n2 = 2x42 = 32e- 3 — (6) n=7 total no. of 7 = 2x72 = 2x49 = 98 € (b) (1) 3d na3 I= 2 no. of radial nodes = n-b-l = 3-2-1 =0 å orbital has double dumbbell shape x is of 5 types :- no. of angular node neo of total nočászato = 2 I nodes = 2+0 52 so that * * 17 (i) 48 na 4 no. of radial l=0 nodes = n-l-1 =3 no. of angular node Torb=0 's' orbital is spherical in shape. size'xn total nodes = 3P (ii) 4P n=4 l1 i nodes = n-- = 4-1-1=2 nodes no of angular node Tuzl no. of total nodes =2+1=3 a Þorbital 'dumbell -node 1