The extraction of the Lanthanides from minerals is illustrated here by the:-
Alkali Digestion of Monazite/Xenotime
Monazite and Xenotime can also be opened-out through an Acid Route >>
Acid Dissolution of Bastnaesite
The Molycorp website explains the mining and processing of Bastnaesite at their Mountain Pass Mine in the Sierra Nevada, USA.
Bibliography [textbook & online resources]