The valencies of the lanthanides vary more than was once thought. In addition to valencies associated with a half-full shell, there are valencies associated with a quarter- and three-quarter-full shell. This can be explained on the basis of Slater’s theory of many-electron atoms. The same theory explains the variation in complexing constants in the trivalent state. Valency in metallic and organometallic compounds is also discussed.

This essay considers what the logical implications for God's free will would be if God possessed the characteristics that he is often said to have, such as Immutability. If God does not have free will it undermines the Free Will Defense for the Problem of Evil and the case for free will generally. Those who believe in human free will often believe that it exists because humans possess an immaterial soul; however, if God does not have free will then the (...) religious case for free will is weakened. (shrink)

The authors regret that there are errors in equation and subsequent discussion. The correct version is as follows.

The authors regret that there are errors in equation and subsequent discussion.