
rauchen
to smoke
To inhale and exhale the smoke from tobacco or other substances, usually in the form of cigarettes, cigars, or pipes.
Er hat vor einem Jahr aufgehört zu rauchen.
He stopped smoking a year ago.
to smoke
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to smoke
To inhale and exhale the smoke from tobacco or other substances, usually in the form of cigarettes, cigars, or pipes.
Er hat vor einem Jahr aufgehört zu rauchen.
He stopped smoking a year ago.

to smoke
To emit or give off smoke or steam, as with a fire or a chimney.
Der Schornstein der alten Fabrik raucht nicht mehr.
The chimney of the old factory no longer smokes.

one's head is smoking
(Colloquial) To have to exert oneself mentally very hard or think intensely.
Nach der langen Prüfung hat mir der Kopf geraucht.
After the long exam, my head was smoking.
The verb 'rauchen' (to smoke) is directly connected to the noun 'der Rauch' (smoke). Anything that produces smoke or has to do with smoke can be described with this verb.
Das Lagerfeuer rauchte stark, weil das Holz nass war.
The campfire smoked heavily because the wood was wet.
You can use 'rauchen' (to smoke) with an accusative object to say what someone smokes. But you can also use it without an object to describe the general habit.
Er raucht eine Zigarre nach dem Abendessen.
He smokes a cigar after dinner.
If the subject of the sentence is not a person but an object (e.g., a chimney, a fire, an engine), 'rauchen' (to smoke) almost always means that this object is giving off smoke.
Nach dem Unfall rauchte der Motor des Autos.
After the accident, the car's engine was smoking.
The expression 'jemandem raucht der Kopf' (someone's head is smoking) uses a dative construction. The person who is exerting themselves is in the dative.
Nach sechs Stunden intensiver Arbeit rauchte mir der Kopf.
After six hours of intense work, my head was smoking.
to smoke weed
Rauchen and kiffen can both refer to consuming cannabis by inhaling it. Rauchen is the neutral, broader verb and can be used with the substance being smoked; kiffen is colloquial and refers specifically to cannabis. Rauchen is usually suitable in neutral texts, while kiffen can also be used in casual conversation.

Tom raucht Cannabis, obwohl er sonst keine Zigaretten raucht.
Tom smokes cannabis, although he otherwise does not smoke cigarettes.
Tom kifft mit Freunden am See, obwohl er sonst keine Zigaretten raucht.
Tom smokes weed with friends by the lake, although he otherwise does not smoke cigarettes.