A superconducting Nb
0.4Ti
0.6test cavity was constructed to measure the surface losses as function of frequency in the range from 2 to 8 GHz and as a function of temperature below 4.2 K. The temperature-dependent part of the surface resistance agrees essentially with the BCS theory if the material parameters T
c= 9.8 K, Δ(0) = 1.73 k
BT
c, ξ
o= 380 Å, λ
L= 310 Å, and

to 8 Å are taken. The magnitude and frequency dependence of the temperature-independent residual resistance observed in the niobium titanium cavity suggests no difference in the behavior of type I and II superconductors. The highest Q
o= 2.9 × 10
9was measured in the TE
011mode at 3.9 GHz. A coaxial cavity with removable sample was constructed for an in-depth study of rf breakdown and its relationship with metallurgical parameters as characterized by ac loss, magnetization, and penetration depth measurements. Peak fields in solid type-II superconducting cavities are limited by their low thermal conductivity suggesting the use of films, 0.01 to 0.1 mm thick, on pure niobium or copper. The highest magnetic field of 120 G was measured on a recrystallized sample suggesting that the lower critical field H
c1(for this sample 75 G) does not prevent the application of high-T
ctype-II superconductors to microwave devices.