The temperature and volume dependences of the thermal conductivity of the <$E roman {Kr sub {1-xi} Xe sub xi> solid solution are analyzed in a model in which heat is transferred by low-frequency phonons; above the phonon mobility edge this is done by "diffusive" modes migrating randomly from site to site. The phonon mobility edge <$E omega sub 0> is determined from the condition that the phonon mean free path limited by umklapp processes and scattering on point defects cannot be smaller than one-half the phonon wavelength. The Bridgman coefficientg <$E g~=~-~(del roman In LAMBDA~"/"~del roman In V) sub T> is the weighted mean over these modes, whose volume dependences differ strongly. It is shown that the amount of heat transferred by the "diffusive" modes above 100 K is quite large even in pure Kr and it increases with rising temperature and impurity concentration.

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