Substituting the given values, we get Dt = 3.7x 10^-9 cm^-2

Assuming a drive in temperature of 1100°C, we know then the boron diffusivity is D =1.5x10^-13 cm² cm^-1. Solving for drive in time one get 6.8 hours.

Given both the surface concentration and the Dt product, the initial dose can be calculated this Gaussian profile.

This dose could easily be implanted in a narrow layer close to the surface, justifying the implicit assumption in the Gaussian profile that the initial distribution approximates a delta function. If a gas/solid phase predeposition step at 950°C were used, B solid solubility at 950°C is 2.5x10²⁰ cm^-3 and B diffusivity is 4.2x10^-15 cm² s^-1