High-resolution and high-sensitivity spectra are presented for 46 SiO masers in the J = 1 - 0 transitions of the υ = 1, υ = 2, and υ = 3 excited states. The emission is a complex blend of weak maser lines. Our sample is statistically complete to a distance of approximately 300 pc, but is sensitivity limited. The luminosity functions are the same for υ = 1 and υ = 2 regardless of their shape, but the υ = 1 line is, on the average, 1.4 times stronger than the υ = 2 line in the same star. A luminosity function corrected for incompleteness has been obtained using a new method. The SiO luminosity is not correlated with other stellar properties, which indicates that local conditions in the stellar atmospheres determine the maser intensity.
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Spencer et al. (1981) studied this question.