a$)$ Determine from first principles $,$The Russel saunders term symbol for the Mn$(11)$ ion in ground state$($free ion term$).$Show all the steps in your solution.b$)$Using appropriate Tanabe sugano diagram $,$give the electronic configuration corresponding to the $^6$S term symbol.show all calculations.c$)$ using a tanabe sugano diagram give the term symbol of Mn$(11)$ ion in an octahedral high spin configuration