We describe a cryogenic Fabry-Perot cavity in which a frequency-temper
ature turning point at 43 K is created by differential thermal contrac
tion between the mirrors and the spacer. The cavity uses a sapphire sp
acer and fused silica mirrors. The expansion coefficient of the spacer
is balanced by a negative term arising from the outward flexing of th
e mirrors caused by differential radial expansion of the mirror substr
ate and spacer. A simple model indicates that is possible to construct
cavities with shallow turning points of frequency-temperature at temp
eratures between 10 and 65 K.