The present invention relates to a hybrid vapor compression-absorption cooling or heating system and apparatus containing a refrigerant pair comprising at least one refrigerant and at least one ionic liquid. The present invention also provides for the performance of a hybrid vapor compression-absorption cycle that utilizes refrigerants and absorbents such as fluorocarbon gases in fluorinated ionic liquids. The present invention also provides a method of cooling by the execution of a hybrid vapor compression-absorption cycle using a refrigerant pair comprising at least one refrigerant and at least one ionic liquid. The present invention also provides a method of heating by the execution of a hybrid vapor compression-absorption cycle using a refrigerant pair comprising at least one refrigerant and at least one ionic liquid.