Sergei Bezrukov wrote an article on using Kinetis Micrcontrollers in low-power applications:
Let us now turn to the microcontroller MKL05Z32. It belongs to the entry level subfamily KL0 of the Kinetis family. Besides of the fine pitch QFN and 48LQFP packages it is also manufactured in easily solderable 32LQFP ones. The microcontroller can be clocked on up to 48 MHz frequencies and is equipped with a reach set of peripherals including 12-bit ADC and DAC, DMA, UART, I2C, SPI, and others. For our applications we are mostly interested in the low-power CPU modes. ARM requires implementation of at least 3 CPU modes: RUN, Sleep, and Deep Sleep. However, the manufactures usually add more CPU modes, particularly low-power ones. Our microcontroller has totally 10 CPU modes, out of which we are interested in 3 of them: VLPR (Very-Low-Power Run), VLPS (Very-Low-Power Stop), and LLS (Low-Leakage Stop). In the VLPS and LLS sleep modes the CPU consumes about 3.8 and 1.8 μA with running timer, respectively, and wakes up from sleep in 4 μsec. The left picture below shows a breakout PCB for the microcontroller, while the right one shows a test thermometer project. The temperature is displayed in °C.