I calculated, and I get that value for the number density as well. N = P/kT, if you use Boltzmann constant. But with this value, the cross section is 5.71 x 10-18, which is more like the cross section for Ar2+, and not Ar+
Homework Statement
I want to find the ionization cross section in a mass spectrometer for the gas Argon.
The value obtained should be in the 2x10-16 cm2 range.
Homework Equations
Q = ionization cross section
I = K(V,B)xNxQxdxIe
Where I = (0.17 x 10-11, K(V,B) =1, d = 0.1 cm, and Ie = 5 x...
Actually each data point shown above, was an average of an even noisier data set. Since I changed the electron volts every 2 seconds, I took the average of the voltage every two seconds. So using moving average would make the data even more cleaner? Do you know any smoothing functions from numpy?
would smoothing the data give a clean first and second differential plot? If so which smoothing algorithm would work best? Since the data was originally plotted with time, would exponential smoothing work?
Homework Statement
I'm supposed to find the first ionization energy of a gas (Argon), and to do that I used mass spectrometer. The data I plotted was amplifier voltage (acts as Ion current) vs. electron volts. The graph appears in the attachment as data2.jpeg.
To find the ionization energy I'm...
Homework Statement
F(x,y) = y2 - x4. At the point a = (0.5, 0.25) the implicit function theorem holds. Find the largest r1neighbourhood of a s.t \frac{\partial F(x,y)}{\partial y} >0. Find the largest possible r0 > 0 so that for all x, \left | x -a \right | < r0 implies F(x, 0.25 - r1) < 0...
Homework Statement
I'm doing question 23 in Chapter 4 of Spivak's Calculus on Manifolds. The question asks,
For R > O, and n an integer, define the singular l-cube,
c_{R,n} :[0,1] \rightarrow \mathbb {R}^2 - 0 by c_{R,n} (t) = (Rcos2\pi nt, Rsin2\pi nt). Show that there is a singular...
Homework Statement
I really do not understand why the expectation value of an observable such as position is
<x> = \int\Psi*(x)\Psi
Homework Equations
If Q is an operator then
<Q> = = \int\Psi*(Q)\Psi
cn = <f,\Psi>
The Attempt at a Solution
What I understand this is saying is...
I solve for x using the equation below?
tan(Φ ) = bei(x)/ber(x)
Isolating x is difficult from this. I used wolfram but it gives unusual stuff (things I don't know). I could use python I guess.
Also why would graphing the x with period give the diffusivity. I know x = r√(\frac{2\pi}{TD})...
I'm not sure I understand as, I get phi from the experimental data. The data I measured was the temperature change of the rubber in ice, and boiling water over time. From the Temp vs time graph I measured the phase shift between the internal surface (the rubber) and the external surface...