This is the 2460th most frequent Chinese word.
後
"後" (hòu): behind, after, or later.
In this sentence, '後' emphasizes a period of time indicating the context of waiting.
我已經等了半個小時候。
I have already been waiting for half an hour.
Here, '之後' indicates a sequence in time, referring to the aftermath of an event.
事情發生之後,我才明白他的意思。
After the event happened, I understood his meaning.
In this context, '後面' indicates a spatial relation denoting the rear or behind.