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Unformatted text preview: atom
than Icm of a solid sphere.
The methane molecule (CH4) has four hydrogen atoms located at the
vertices of a regular tetrahedron of edge length 0.18 nm, with the carbon atom at
the center of the tetrahedron (Figure Solution the moment of inertia of this
molecule for rotation about an axis that passes through the centers of the carbon
Because one of of hydrogen atoms.
atom and the axis therotation is through the carbon and one of the hydrogens, neither
of these atoms contribute. The moment of
Pinertia is the Problem toTthe remaining
icture then due only
he axis of
rotation passes through the center of the
three hydrogens. The moment of inertia is base of the 3tetrahedron. The carbon
atom and the hydrogen mH at i2 , apex
mi ri = atom r the
of the tetrahedron do not contribute to I
because thethe masses are identical. Now
since all of distance of their nuclei
the the are of all equal zero. From
from radii axis alsorotation is is is just...
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