I'm glad you raised this.

• Neuroscience is the term that I hear more people use.
• Google returns 10 million results for neuroscience and and 2 million for neurobiology.
• Neuroscience sounds closer to cognitive science to me; whereas neurobiology suggests a closer proximity to biology to me.

If others agree by either upvoting this answer or offerring supporting comments, or other supporting answers, we could:

• edit a few of the neurobiology tags to neuroscience
• create a tag synonym between the two terms

I'm glad you raised this.

• Neuroscience is the term that I hear more people use.
• Google returns 10 million results for neuroscience and and 2 million for neurobiology.
• Neuroscience sounds closer to cognitive science to me; whereas neurobiology sounds closer to biology to me.

If others agree by either upvoting this answer or offerring supporting comments, or other supporting answers, we could:

• edit a few of the neurobiology tags to neuroscience
• create a tag synonym between the two terms