According to DxOMark test, they find the lens has good center sharpness on the 24-Mpix A6000 throughout the range, and relatively high 9 P-Mpix sharpness.
Sony E PZ 18-105mm f/4 G OSS Lens Gets DxOMarked
From DxOmark conclusion:
It might not have the Zeiss badge, but the Sony E PZ 18-105mm F4 G OSS has good center sharpness throughout the whole zoom range, and that includes the initial aperture where zooms like this are usually poor, and particularly so at the longer end of the range. The downside is that it’s not as well corrected in other areas as the Sony Zeiss E 16-70mm F4 ZA OSS, with which it is often compared. It still wouldn’t be an easy choice, even taking into account the $400 premium for the Zeiss. However the longer reach of the Sony is attractive, and for video users especially, the power zoom option may just swing it.
It covers a generous 5.8x zoom range from 18mm – 105mm (full frame equivalent 27mm – 157.5mm) and is an ideal choice for travel photography as well as every day, general purpose shooting.
A constant f/4 maximum aperture offers consistent performance throughout the zoom range and is especially beneficial when working with greater zoom magnifications in low-light conditions.
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