We present extinction curves that include data down to far-ultraviolet wavelengths (FUV; 1050-1200 ?) for nine Galactic sight lines. The FUV extinction was measured using data from the Far Ultraviolet Spectroscopic Explorer. The sight lines were chosen for their unusual extinction properties in the infrared through the ultraviolet; that they probe a wide range of dust environments is evidenced by the large spread in their measured ratios of total to selective extinction, RV = 2.43-3.81. We find that extrapolation of the Fitzpatrick & Massa relationship from the ultraviolet appears to be a good predictor of the FUV extinction behavior. We find that predictions of the FUV extinction based on the Cardelli, Clayton, & Mathis (CCM) dependence on RV give mixed results. For the seven extinction curves well represented by CCM in the infrared through ultraviolet (x < 8 ?m-1), the FUV extinction is well predicted in three sight lines, overpredicted in two sight lines, and underpredicted in two sight lines. A maximum entropy method analysis using a simple three-component grain model shows that seven of the nine sight lines in the study require a larger fraction of grain materials to be in dust when FUV extinction is included in the models. Most of the added grain material is in the form of small (radii 200 ?) grains.

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