Western Digital has just admitted to me that there are problems with "some controllers". But the chipset manufacturers would be responsible for offering working drivers for the respective platforms.
I have ordered one more 6400AAKS. I wanted to make sure that it's not a faulty drive, and I wanted to try if it behaves different in a RAID 0. Some people say, I should not mix RAIDs with non-RAID drives. If I don't need the additional 6400AAKS, my brother will buy it, so it's no problem for me. And if it works in a RAID, I have 640 GB more and a lot faster system.
If it does not work, I'll try to buy a very cheap PCIe-SATA-controller card.