What are these please?

Also this that I think is a weed but I thought I should check before I remove a big clump of it!

 

The top one might be some sort of outdoor tradescantia, commelinus thingy.

The bottom one looks like artemisia "Limelight" which i paid for and it died so I'm rather jealous that you've got handsome swathes of it, apparently.

 

1. Tradescantia virginiana.
Many named cultivars in colours from white, blues to deep purple.

tradescantia virginiana - Google Search

 

Wow, thanks you guys are amazing. I would never have figured that out on my own. I'm sure you're right about both.

The Tradescantia is pretty and I'd like more of that so great to know what it is.

Lucky I didn't pull up the Artemisia then! It is taking over pretty much a whole raised bed out the back. I'll divide it in the spring then.

 

My neighbour calls tradescantia "Moses in the basket" which I think is rather nice!