Although aperelli's information is correct, this will only apply if you are looking at the "Size on disk" field in Properties, not the "Size" field.
The "Size" should be the same, but you can enable hidden files, and unhide system files to compare and see if there is other hidden files in the destination directory (Just because it is new and 'empty' doesn't actually mean it is empty) Can't
see how these would take up an additional 6GB though.
If looking at the "Size on disk" then aperelli's suspicions are correct, the cluster size is different.
As each file is stored to the hard disk, the next file stored will start at the next sector. As such, the "SoD" will always be larger than the size of the data. Also, if the free space on the destination drive is fragmented (As files get deleted,
it creates free space gaps within existing data that will always get used up first, fragmenting new files that get put in these gaps) then each of the resulting file fragments will also round up to the next sector, further increasing the resulting "SoD".
Defrag will recombine all the file fragments into a contiguous space on the disk, reducing the "SoD" accordingly.