We have analyzed the rotational properties of 12 clumps using ^ { 13 } CO ( 1–0 ) and C ^ { 18 } O ( 1–0 ) maps of the Five College Radio Astronomy Observatory 13.7 m radio telescope .
The clumps , located within molecular clouds , have radii ( R ) in the range of 0.06 – 0.27 pc .
The direction of clump elongation is not correlated with the direction of the velocity gradient .
We measured the specific angular momentum ( J/M ) to be between 0.0022 and 0.025 pc km s ^ { -1 } based on ^ { 13 } CO images , and between 0.0025 and 0.021 pc km s ^ { -1 } based on C ^ { 18 } O images .
The consistency of J / M based on different tracers indicates the ^ { 13 } CO and C ^ { 18 } O in dense clumps trace essentially the same material despite significantly different opacities .
We also found that J / M increases monotonically as a function of R in power–law form , J / M~ { } \propto~ { } R ^ { 1.58 ~ { } \pm~ { } 0.11 } .
The ratio between rotation energy and gravitational energy , \beta , ranges from 0.0012 to 0.018 .
The small values of \beta imply that rotation alone is not sufficient to support the clump against gravitational collapse .