It is confusing. There is little need to understand the NH3 and NH4 relationship unless one is dealing with a fish in cycle. This is something the site does not recommend.
If one is doing a fishless cycle it is not relevant except for understanding why overdosing dechlor which contains an ammonia detoxifier is a bad thing to do. But all one needs to know is that it will slow a fishless cycle.
It is imperative to know about this subject if one is doing a fish in cycle as the goal there is not to change water until one must. Knowing this is much more complicated to understand. Then you must know how to calculate the NH3 level in your tank. But it doesn't end there. You also need to know how to calculate the amount of salt to add to counteract the nitrite. In fish in cycling, minimizing how many water changes one must do is important. Not harming fish is more important. Finding the balance for ammonia is tricky, nitrite can be handled without water changes in most cases with chloride.
For beginners, the less complicated things can be made, the better. Do a fishless cycle, follow the site's article on how to do it. Don't deviate, and almost all the time, it will be a snap and happen in about 5 weeks. If you get stuck in a fish in cycle from not knowing any better, add bacteria or get some fish out and then learn all the extra stuff needed if you insist on continuing with a fish in cycle.
But let me have some fun with perhaps misleading you some
I am omitting the subscript and superscript charges + or -
Ammonia (NH3)
Ammonium (NH4)
Total Ammonia (TA)
But what is Total Ammonia Nitrogen (TAN) or
NH3-n
NH4-n
There are the two scales used in measuring ammonia, nitrite or nitrate. What is the difference in what they measure?
The thing is, how much of this is really important or necessary for most fish keepers to know?