21. The spacing between probes must be larger than the Debye length of the plasma to prevent an overlapping Debye sheath. 22. The associated length ? D a " 1 / " k " 0 is called the Debye length . 23. When doping profiles exceed the Debye length , majority carriers no longer behave according to the distribution of the dopants. 24. This model is valid for most aqueous systems because the Debye length is typically only a few nanometers in water. 25. As can be seen from the above equation, the repulsion energy depends on the square of the Debye length . 26. At these parameters, the ion Larmor radius is a few millimeters, and the Debye length is tens of micrometres. 27. This overestimation is visible at distances less than half the Debye length , where the decay is steeper than exponential decay. 28. The associated increase in the Debye length must be taken into account when considering ion non-saturation due to sheath effects. 29. The thin DL model is valid for most aqueous systems because the Debye length is only a few nanometers in such cases. 30. In a nanochannel, however, the solution is charged when the dimension of channel radius is smaller than the Debye length .