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Not to my knowledge. Diamond is an allotrope of carbon, and its structure is well defined. By increasing the thermal energy of diamond in order to change state (solid-liquid) one would have to contend with the diamond reacting with atmospheric oxygen, burning as it were. Increasing the temperature in the absence of oxygen will cause the carbon chains to break down, resulting in simple black, fluffy coal like carbon. Interestingly this has been achieved with lasers. Internally, a point within a diamond is heated with two or three lasers (at 90degree orientations) to create a momentary "Hot spot". This causes a flaw within the diamond where the carbon has been converted from a strong matrix (diamond) to powdery coal or graphite. By doing this, they've managed to create interesting 3-dD images within a solid diamond. Pretty cool, huh?
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