Left: fitted component central velocities for the different phases for two different paths through the Alpha cloud (top and bottom). The WNM is shown in red, the CNM in blue with the darker colours indicating higher column density. The error bars in the top panels show the 1σ uncertainties from Section 3.3. The error bars in the bottom panels show the combined uncertainties at the 3σ level. Right: path through the cloud for respective velocity relations shown in purple. 0 denotes the start of the path, and 128 and 145 denote the ends of each path.