When to use a particle 'NOT' without using verbs don't, doesn't? Когда использовать частицу не используя глаголы don't,doesn't? When to use a particle 'NOT' without using verbs don't, doesn't?When using just a particle of , without any auxiliary verbs?

Question

When to use a particle 'NOT' without using verbs don't, doesn't?
Когда использовать частицу  не используя глаголы don't,doesn't?
When to use a particle 'NOT' without using verbs don't, doesn't?When using just a particle of <>, without any auxiliary verbs?

Answer

"Not" is not a particle.
The question is a bit strange. What exactly are you asking?

Answer

Usually they are used with auxiliary verbs, you are right!
Cases among others when you use them without:

- with an expression like 'not that':
" I just called to say hello, not that I care."

- When expressing denial or refusal:
Certainly not!

- When you say :
not at all
not a bit ( of it)

-not until (any time )

Answer

The additional phrases with using "not" in this case:

I prefer not to smoke.
Not that it is that really.
He is very strong - not but what he will catch a cold at times.
Simply is not in it as far as skill and brains are concerned. (idiom)
It's not that hard. 
To speak or not to speak - that is a problem.