PHYSICS C1801
Homework #1
Due 19-Sep-95
for any set of vectors
, 
and 
.
Find the coefficients 
and 
in terms of
, 
and 
.
), the hydrogen atoms form
the vertices of a tetrahedron, with the carbon atom at the center.
Find the tetrahedral bond angle, i.e, the angle between
the lines from the carbon atom to any two of the hydrogen atoms.
(Hint: Form the tetrahedron by locating the hydrogens at (some of)
the vertices of a cube.)
The direction in space between successive steps
is entirely random (i.e., there is no memory or correlation between
and 
).
Show that the mean square displacement between initial and final
positions is
where 
denotes mean value.