Electron Tunneling - Revision history

imported>Stwikiadmin: /* Why This Works */

2016-08-26T15:30:16Z

Why This Works

← Older revision		Revision as of 15:30, 26 August 2016
Line 60:		Line 60:
	\| m: Mass of the Particle		\| m: Mass of the Particle
	\|}		\|}
	Without going too deeply into the math, we can make out what the equations are saying. The first equation is showing the second derivative of the time independent Schrödinger equation. This means that we are looking at the Schrödinger equation without the time factor, so the only factors we will focus on are:		Without going too deeply into the math, we can make out what the equations are saying. The first equation is showing the second derivative of the time independent Schrödinger equation. This means that we are looking at the Schrödinger equation without the time factor, and the only factors we will focus on are:
	* The mass of the particle, m		* The mass of the particle, m
	* The quantified energy of the particle, '''M'''(x)		* The quantified energy of the particle, '''M'''(x)
	* The Wave Function, '''Ψ'''(x)

	We know what the mass of an electron is, so we need to solve for the energy of our particle. If the particle has a positive and constant '''M''' value, then we can solve for '''κ'''<sup>2</sup>. If the value is negative, then we are solving for '''k'''. In either case, we will be solving for the ''Probability'' of the particle making it through the barrier.		We know what the mass of an electron is, so we need to solve for the energy of our particle. If the particle has a positive and constant '''M''' value, then we can solve for '''κ'''<sup>2</sup>. If the value is negative, then we are solving for '''k'''. In either case, we will be solving for the ''Probability'' of the particle making it through the barrier.

imported>Stwikiadmin at 15:28, 26 August 2016

2016-08-26T15:28:39Z

@@ Line 37: / Line 37: @@
 == Why This Works ==
-'''''COMING SOON'''''
+As is demonstrated at the beginning of this demo, a large object cannot tunnel through a thick barrier unless it has a high amount of energy. However, this changes when we look at atoms and electrons, where an electron can sometimes make it through a barrier when it lacks the energy to do so. ''Electron Tunneling'' is the phenomenon which allows electrons to travel through barriers that they otherwise shouldn’t be able to go through. To understand what really happens with electron tunneling, one needs to look at the time-independent Schrödinger equation for particle-wave duality:
 == Additional Information ==

imported>Stwikiadmin at 20:05, 15 August 2016

2016-08-15T20:05:22Z

← Older revision		Revision as of 20:05, 15 August 2016
Line 1:		Line 1:
	~~<!--~~
	{\| class="wikitable" style="color:black; background-color:#ddd; margin-left: auto; float:right"		{\| class="wikitable" style="color:black; background-color:#ddd; margin-left: auto; float:right"
	\| [[~~Topic~~]]:		\| [[Physics]]:
	\| ~~Sub-topics~~		\| Quantum Mechanics, Electron Tunneling
	\|-		\|-
	\| Grade Range:		\| Grade Range:
Line 8:		Line 7:
	\|-		\|-
	\| Format:		\| Format:
	\| ~~[[Hands-on]],~~ [[Stage]]		\| [[Stage]]
	\|}		\|}

	This ~~space~~ is ~~intended to describe~~ the demonstration ~~that~~ is ~~here. Please use this space to describe~~ in ~~short~~ the ~~demonstration, making sure~~ to ~~mention here if it will require any additional safety equipment or how easily it can~~ be ~~adjusted for varied grade levels~~.		This demonstration is a part of the [[Quantum Mechanics Show]]. This demonstration is not typically performed by itself, since it does require background knowledge in the topic to be understood. In the Quantum Mechanics Show, this demonstration is scripted, so although this write-up does not provide a script, one should be aware of the differences that happen between scripted and non-scripted demonstrations.
	~~Use~~ this ~~page as~~ a ~~base layout for editing~~ the ~~wiki~~. ~~Feel free~~ to ~~copy the layout onto other pages~~, ~~and to put the content as needed into the page~~.
			''In order to perform this demonstration, you need '''two''' presenters.''

	== Materials ==		== Materials ==

	* ~~List~~		* Box from Schrodinger's Cat demonstration
	* Of		* Tennis Ball
	* ~~Materials~~		* Two Small Identical Balls (Ping-pong balls or similar)
	* ~~Here~~		* Electron Tunneling Diagrams

	== Safety Precautions ==		== Safety Precautions ==

	Please read the ~~____~~ section of the [[Demonstration Safety]] page before performing this demonstration.		Please read the General Safety Precautions section of the [[Demonstration Safety]] page before performing this demonstration.

	~~This demonstration requires:~~		== Demonstration ==

	~~== Demonstration ==~~		# Before the demonstration begins, be sure that Presenter A and Presenter B already each have one of the identical balls in a pocket. Have Presenter B set up the box while Presenter A introduces the idea of tunneling through a wall.
			# Presenter A only: Ask for a volunteer from the audience, and give the volunteer the tennis ball. Ask the volunteer to try and throw the tennis ball through the wall of the box. Try as they might, the volunteer will fail.
			# Presenter A can either ask for a new volunteer for keep the volunteer on stage. Presenter B will now adjust the box so there is only one panel standing, angled so it looks like a thin wall. Presenter A during this time will explain the change to be a way to think of a very thin barrier.
			# Have the volunteer now stand with Presenter B. Presenter B will show the audience the small ball and give it to the volunteer, explaining that this will represent an electron.
			# Presenter A will now ask the volunteer to throw the small ball at the barrier. Presenter B should whisper to the volunteer to throw it over the barrier. Once it is thrown over, Presenter A will toss it back, explaining how this would have worked.
			# Presenter A will not ask the volunteer to throw the small ball one last time. Presenter B should whisper to the volunteer to fake throwing it. When it is "thrown", Presenter A will pretend to "catch" it, and reveal the ball that they had hidden. Presenter B should quickly and secretly hide the ball the volunteer had.

	~~# Steps for the demonstration.~~
	~~# Be sure to clarify on steps about any safety equipment needed.~~
	~~# Make sure steps can be understood by a first-time reader.~~

	== Why This Works ==		== Why This Works ==

	~~===Short Explanation===~~		'''''COMING SOON'''''
	This is where you would provide a basic, easy-to-understand explanation of the demonstration. Try not to use too much "Science Jargon", and if needed add any explanation tips, like comparing the demo to something kids are familiar with.

	~~===Full Explanation===~~
	This is where you will explain the demonstration in full, and provide all additional information that pertains to the demo. Unlike the short explanation above, this should be worded so someone who is familiar with the topics might understand it. If needed, you can provide equations and citations for additional sources of information on the topic. This is also where you will find some answers for trickier questions, such as "How does a plane fly upside-down?" for the Bernoulli'~~s Principle demo. If you want to add a floating box for equations, copy the following:~~

	~~{\| class="wikitable" style="color:black; background-color:#ddd; text-align: center; margin: auto"~~
	~~\| This will give you~~
	~~\| a floating box.~~
	\|-
	~~\| The box will be~~
	~~\| centered for you.~~
	\|}

	== Additional Information ==		== Additional Information ==

	* ~~Any extra tidbits~~ that ~~do not fit into other sections~~		* Electron Tunneling is the phenomenon that allows for touchscreen technology! A touchscreen detects where the voltage increases across the potential gap, which happens due to an increase in electrons tunneling across.
	* This demonstration is a part of the ~~(insert~~ [[~~Stage~~ Show]] ~~here)~~		* This demonstration is a part of the [[Quantum Mechanics Show]]
	~~-->~~

imported>Stwikiadmin: Created page with "