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how to create another physical volume/partition with existing unused lvm space without data loss?

I have a 1T USB disk with Fedora 20 installed. It shows as sdd in the first image below. I only used about 50GB. There are 3 logic volumes under the sdd2 and also there are about 620GB of free space after I shrunk its home logical partition, as shown in the second image.

I am thinking create a physical volume/partition, sdd3, by using that 620GB free space. I hope other logical volumes will not be damaged and data will stay unchanged. how can I do that?

I have created a disk image with clonezilla. So I am not worry about data loss during the process.

The purpose of doing this is I want to move the installation on my 1T disk with settings over to my another 500GB USB disk. I have tried many ways, clonezilla, dd logical partition(s), true image, gparted, .... no one can help me or gives me a good result due to the lvm and smaller destination. I hope I can dd physical partition after the new physical partition takes over some space.

sdd is the 1T USB disk

green color is the free space