Brillouin light-scattering experiments have been performed at room tem
perature to determine the shear modulus C-44 of Ce/Fe multilayers (in
their reference frame) as a function of the modulation wavelength Lamb
da. The study is complementary to a previous investigation of the flex
ural modulus E-F of this system in the sense that, while E-F is domina
ted by the Fe layers, C-44 largely reflects the elasticity of the more
compliant Ce component. In the heterostructures, the Ce layers exhibi
t a laminated two-phase structure composed of low-volume alpha and hig
h-volume gamma-like Ce, with a thickness-dependent relative fraction.
Furthermore, structural transitions occur from an amorphous phase to t
he crystalline phases of bcc Fe and fcc Ce, for Fe abruptly within the
entire sublayer volume at a critical thickness near 20 Angstrom, for
Ce more gradually with increasing layer thickness starting near 40 Ang
strom. These structures and phase transitions are reflected in the var
iation of C-44 with Lambda. A large portion of this variation can be a
scribed to the Lambda-dependent alpha-gamma-like composite structure o
f the Ce layers. A superposed softening of C-44 is essentially the sig
nature of the amorphous-to-crystalline transition in the Ce sublayers.