After a short review of some physical properties of single carbon nanotubes and graphene layers it is discussed the possibility of construction of new beam particle monitors (BPM), ionization and proportional counters and time projection chambers (TPC). It is shown that in spite of the tested laser and wire BMPs the proposed single nanotube BPMs can provide better measurement of the profile of future electron-positron colliders with very high beam density. The use of single nanotubes as anode wires in proportional counters allows their operation at lower
electric fields and to construct multiwire proportional counters (MPC) with better space resolution. It is proposed to construct TPCs using nanotubes and graphene ribbons based on the sharp variation of graphene electrical conduction under the influence of electrostatic potential resulting from the charge deposited by the ionizing
particles
