How to maximize the drop odds of the Essences in Diablo II?
How to maximize drop odds of Twisted Essence of Suffering, Charged Essence of Hatred, Burning Essence of Terror and Festering Essence of Destruction?
Do you want to increase or decrease the /players setting (or have more/less players in game) and/or increase or decrease magic find?
MF only affects the quality (normal/magic/rare/set/unique) of an item. There is no evidence to support that MF or increase of player characters has anything to do with essence drop rates.
I'll put the drop rates below in case you want them. The drop rate actually changes based on if you're killing them for the first time or not.
At players 1 drop, chance to drop 1 essence:
Andariel Non-Quest: 1:14 Andariel Quest: 1:9
Duriel Non-Quest: 1:7 Duriel Quest: 1:5
Mephisto Non-Quest: 1:17 Mephisto Quest: 1:15
Diablo Non-Quest: 1:17 Diablo Quest: 1:15
Baal Non-Quest: 1:17 Baal Quest: 1:15