Aggregate of carbon nanotubes, dispersion thereof and conductive film using the same

An aggregate of carbon nanotubes comprising bundles of carbon nanotubes, wherein the carbon nanotubes comprise multilayer carbon nanotubes, wherein an average in bundle diameter of bundles formed by the carbon nanotubes in the aggregate and observed by a scanning electron microscope is 20 nm or less, and wherein the aggregate of carbon nanotubes satisfies the following conditions (1) to (4):

• (1) there is a 2θ peak at 24°±2° by X-ray powder diffraction analysis;
• (2) a height ratio (G/D ratio) of G band to D band by Raman spectroscopic analysis of wavelength 532 nm is 30 or more;
• (3) a combustion peak temperature is from 550° C. to 650° C.;
• and
• (4) when a mixture of 10 mg of the aggregate of carbon nanotubes, 30 mg of sodium polystyrene sulfonate and 10 mL of water is subjected to ultrasonic homogenizer treatment under ice cooling for 20 minutes using an ultrasonic homogenizer at output of 25 W and subsequently subjected to centrifugal treatment at 20000 G for 15 minutes by a centrifugal separator, and then 9 mL of supernatant is sampled, a content of the aggregate of carbon nanotubes in said supernatant is 0.3 mg/mL or more.