Angular Momentum: Spin 1/2 Quantum Number Clarification

[bon]

Homework Statement

Im reading about the electrom which apparently is spin -1/2

But doesn't this mean that s, i.e. the spin quantum number = 1/2. Surely the total spin it carries is root 3/2 hbar not 1/2 hbar? Yet in my book it says: "For example, in a hydrogen atom both the proton and the electron carry angular momentum 1/2hbar by virtue of their spins.."

Am I missing something?

Homework Equations

The Attempt at a Solution

Please see above..

 

[Doc Al]

You are correct. 1/2 hbar would be the z-component of the spin angular momentum (the component along any axis), not the total angular momentum. I'd say the book was a bit sloppy.