Thanks for the tip!
That may be a possibility; however, we were provided what I had presumed to be two different samples. The first being the reference sample made up of known layers: a Silicon layer of 115\times10^{15} atoms/cm^{2} then a Bismuth layer of 5.65\times10^{15} atoms/cm^{2} and...
I'll be more careful next time...
It seems that the Nt for Beryllium is quite large compared to the Nt for Bismuth. There is a factor of 10^{3} difference, are such densities plausible?
I tried calculating the mass of the target particle of the first peak in my energy spectra M_{2} and then the number of particles per cm^2 Nt. However, the numbers that I found do not seem to be correct:
K = \frac{E_{1}}{E_{0}}=\left ( \frac{M_{1}cos\theta + \sqrt{M_{2}^{2}-M_{1}^{2}\left (...
Thank you for your response!
I do, however, have some questions that I would like clarified.
Does this mean that multiple peaks in the spectra correspond to the same element? For example, if in my spectra I have three distinct peaks that occur at different energy levels and have different...
In class we learned about the fundamentals behind RBS using a linear accelerator that accelerates He+ ions to 2MeV. We were then provided an example where those ions collided with a sample with layers of Silicon-Bismuth-Silicon, each of known thickness; and, we were then shown the corresponding...
\oint D\cdot nda = Q_e
D\oint da = Q_e
D(2\pi rl) = Q_e
D = \frac{\lambda}{2r\pi}
E_1 = \frac{D}{\epsilon_1} = \frac{\lambda}{2r\pi \epsilon_1}
The potential from a to b over the first dielectric
\Delta\varphi_1 = E_1 (b - a)
\Delta\varphi_1 = \frac{\lambda...
Homework Statement
A coaxial cable of circular cross section has a compound dielectric. The inner conductor has an outside radius a , which is surrounded by a dielectric sheath of dielectric constant K_1 and of outer radius b . Next comes another dielectric sheath of dielectric constant...
Now, I am supposed to derive the same answer using
\varphi(r) = \frac{1}{4\pi\epsilon_0}\int\frac{dq}{|r - r'|}
I know that q = \rho V and dq = \rho dV
And that V = \frac{4}{3}\pi r^3
However, I know that dV = 4\pi r^2 dr is not true because if it were then I would get
\varphi(r)...
My mistake, I forgot to substitute r = R... So it should read
\frac{\rho}{\epsilon_0}\frac{R}{3} = -\frac{\alpha}{R^2}
-\frac{\rho R^3}{3\epsilon_0} = \alpha
-\frac{\rho R^2}{6\epsilon_0} + D = -\frac{\alpha}{R}
-\frac{\rho R^2}{6\epsilon_0} + D = \frac{\rho R^2}{3\epsilon_0}...
C = 0
So if the gradient of the potential must be continuous everywhere then
-\mathbf{\nabla}((-\frac{\rho}{\epsilon_0}\frac{R^2}{6}) + D)= -\mathbf{\nabla}(-\frac{\alpha}{R})
So then the Electric Field is continuous everywhere. Also, the electric potential is finite everywhere.
\textbf{E}=-\mathbf{\nabla}\varphi
So I take the -\mathbf{\nabla}\varphi in spherical coordinates knowing that the Electric field is independent of \theta and \phi .