# Solid Solubility Lab Report

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Solid solubility is whether that solid can dissolve in specific solvent or not. When a solid dissolve, the ions that comprise the solid will disperse in the solvent thus create a different concentration distribution within the solvent solution. Thus we can view this as a flow of ion from high concentration to low concentration (there’s a flow of ions)
Electrical activity is the ability for electron to travel within the material. Specific solid material molecule will have free electrons to conduct thus allow electrons to freely move within the solid thus create a flow of electron current.
Conclusion, they are mechanically similar because both create a flow of particles (ions, free electrons) that enable the flow of electrons current within
Drive-in time: t_(drive-in)=3.7*(〖10〗^(-9) cm^2)/(1.5*〖10〗^(-13) ((cm^2)/s) )=6.8 hours
In order to form the deep low concentration-boron requires at least 6.8 hours at 1100 C. This requires a lot of time and energy for almost 7 hours continuously at 1100 C.
With the surface concentration and the Dt product, we can calculated the initial dose for this Gaussian profile as
Q=C(0,t) √(πD_t )=4*〖10〗^17 √π √(3.7*〖10〗^(-9) )=4.3*〖10〗^13 cm^(-2)
This dose can be implanted in a narrow layer close to the surface, justifying for the implicit assumption of Gaussian profile that the initial distribution is the approximation of the delta function.
On the other hand, assume a T = 950C for the pre-deposition, we will have
B solid solubility at 950C=2.5*〖10〗^20 cm^(-3)
B diffusivity is 4.2*〖10〗^(-15) ((cm^2)/s) =>Q=(2C_s)/√π √(D_t )=>t_(pre-dep)=((4.3*〖10〗^13)/(2.5*〖10〗^20 ))^2*(√π/2)^2*1/(4.2*〖10〗^(-15) )=5.5 s
When compare the delta function approximation with the drive in time we got a reasonable result with:
D_(t_predept )=2.3*〖10〗^(-14)≪D_(t_(drive-in)