I've found in Surface photovoltage phenomena:
theory, experiment, and applications, (L. Kronik and Y.Shapira) that in Kelvin Probe measurement delta CPD = -SPV, and I know that is true, but I'm looking for explanation for that 'minus'.
You can find a good explanation here:
https://www.helmholtz-berlin.de/media/media/forschung/energie/heterogen/eta/methods/spv-techniques-2010-08-09.pdf
Search for: "positive voltage corresponds to the lower electron potential" in the text and study the picture
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