An absorptive refrigeration method and refrigerant/absorbant pairs comprising fluorinated organic compounds, such as fluorinated organic compounds having from one to eight carbon atoms (C1-C8), including hydrofluoroolefin and/or hydrochlorofluoroolefin compounds. In certain embodiments, a fluorinated organic compound, including certain hydrofluoroolefin and/or hydrochlorofluoroolefin compounds (e.g. C2-C4 hydrofluoroolefin and/or hydrochlorofluoroolefin compounds) is/are utilized as the refrigerant, with the absorbant portion either being a fluorinated organic compound or a non-fluorinated oil.