Carrier concentration formula in hall effect
I -nevA ii Where n is number of electrons per unit volume and A is the area of cross-section of the conductor. This develop a potential difference along y-axis is known as Hall voltage VH and this effect is called Hall Effect.
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. Calculation of Hall angle and Mobility of charge carrier. In the Hall Effect mobile charge carriers moving with velocity v in an electrical current I S experience a force Lorentz from an applied magnetic field B. P and μ n Carrier concentrations nand p How do we measure n p μ n and μ p Through conductivity resistivity measurements.
Hall mobility µH and carrier concentration n H of charge carriers for each film was calculated using Hall coefficient RH as µH σ x R H cm 2 V. So if the current I and magnetic field B are known measurementof the Hall voltage VH gives us the electron concentration nor J zxwB J zxEyeVHe wB zI xAVHe where A is the. N n p n n.
A current is made to flow through the sample material and the voltage. For an instrinsic semiconductor such as GaAs we know that n p n e n2 but it is not necessarily the case that p n which would imply zero. µ V x E Since for equation 3 E H V x.
Carrier concentrations and mobilities for a sample can be determined from measurements of the Hall coefficient and resistivity as a function of temperature. The DC Hall effect is an important phenomenon in condensed matter physics which allows us to measure properties of a semiconductor. These pressures are defined as.
This force F qv B pushes. The charge carrier mobility is equal to the drift velocity per unit electric field ie. Carrier concentrations are minimum and resistivities are maximized at a tellurium pressure of 4104 610 4 torr TTe 301309 C for Tg 560 C.
In our experiment we use the van der Pauw method to. Is the total carrier concentration. Department of Energys Office of Scientific and Technical Information.
Now we can write the field created due to Hall effect as E H. Hence we can write the force acting on the charge carrier due to the field as Now at equilibrium Now we consider N. σ n 1ρ n neμ dont confuse ρ.
The area of the cross-section in the sample is A td. Figure 812 Hall effect At equilibrium the Lorentz force on a carrier FL Bevd _________ 8113 and the Hall force FH eEH _________ 8114 where EH is the Hall electric. Sec 3 nH - 1 R H x e cm-3 4.
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