GREPhysics.NET
GR | # Login | Register
   
  GR8677 #27
Problem
GREPhysics.NET Official Solution    Alternate Solutions
Verbatim question for GR8677 #27
Quantum Mechanics}Spin

Spin explains a lot of things.

(A) Remember orbitals? Whether a shell is full or not determines the properties of each column of the periodic table. A full shell has all electron spins paired together, while a partially filled or empty shell doesn't have that. So, spin is definitely in the Periodic Table.

(B) The specific heat of metals differs if one calculates it using the Fermi-Dirac or Bose-Einstein distributions; the first is used for fermions and the second for bosons. So, spin plays a role here.

(C) The Zeeman effect has to do with splitting caused by spin.

(D) The deflection of a moving electron is due to the magnetic field contribution to the Lorentz Force. This is a classical non-spin related phenomenon, on first analysis. This is the best choice.

(E) Fine structure has to do with splitting caused by spin.


See below for user comments and alternate solutions! See below for user comments and alternate solutions!
Alternate Solutions
There are no Alternate Solutions for this problem. Be the first to post one!
Comments
physics_gre
2009-12-24 02:47:50
The answer given by jeka is totally wrong.Because Stern -Gerlach expt occurs in case of non uniform magnetic field.NEC
jeka
2007-02-17 08:30:53
Specific heat of metal at low temperatures is proportional to T whereas specific heat of lattice is proportional to T^3. Assume T\to 0, then heat capacity of lattice is much less than that of electron gas, which can be explained only if the electron posesses spin.

Anomalous Zeeman effect can be explained if there is a magnetic moment due to spin: \mu=g_s\mu_Bs

It also explaines the Stern-Gerlach effect (D).

Fine structure of atomic spectra is due to quantum-mechanical sum rule of orbital angular momentum and spin.

The first variant, (A), doesn't relate to spin because structure of the periodic table is corresponds to increase of the charge of nucleus, that is the number of protons in it.

So, the right answer is (A).
StrangeQuark
2007-07-01 12:19:53
Not entirely, if the periodic table is based just on the increase of the charge of nucleus then why is it not just a straight line, or why is helium not directly after hydrogen, why all the extra space between, Answer: SPIN
Blake7
2007-07-23 18:42:28
The magnetic field used in Stern-Gerlach is not uniform.

Spin gives us the shell structure of the periodic chart with features like halogens, noble gases, alkali metals and transition elements.

Yosun and StrangeQuark are correct.
FortranMan
2008-10-19 12:39:37
The \textit{structure} of the periodic table (or its shape if you will) corresponds to the orbital shells, s, p, d, f. Each element is grouped by its highest complete or incomplete orbital. This was first discovered empirically through chemistry by categorizing the chemical similarities and differences between different elements. If the structure of the periodic table just corresponded to the nucleus's charge (or its number of protons), than it would just be a linear list rather than the strange assortment of boxes we are used to seeing.
wittensdog
2009-07-25 17:13:28
The Stern-Gerlach experiment does not involve moving electrons in a magnetic field; it involves neutral silver atoms with unpaired electrons. In fact, the reason that the silver atoms must be neutral is to avoid large-scale deflections due to the interaction of a moving charged particle with a magnetic field, which is indeed a very classical effect, which does not require spin for an explanation. The idea in the Stern-Gerlach experiment is that the unpaired electron results in a non-zero magnetic dipole moment, due to the electron's spin, which is why the silver atom is deflected. The way that the the electron's spin affects atomic energy levels and other aspects of atomic structure is a huge part of why the periodic table has the structure that it does. The number of valence electrons is very important for various considerations in chemistry, and the fact that the electron has spin 1/2 affects this. Also, the answers to all of these questions are provided with the released tests. These tests are checked many times by experts, and it is highly unlikely that an answer provided by ETS would be incorrect.
NEC

Post A Comment!
Username:
Password:
Click here to register.
This comment is best classified as a: (mouseover)
 
Mouseover the respective type above for an explanation of each type.

Bare Basic LaTeX Rosetta Stone

LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces .
type this... to get...
$\int_0^\infty$
$\partial$
$\Rightarrow$
$\ddot{x},\dot{x}$
$\sqrt{z}$
$\langle my \rangle$
$\left( abacadabra \right)_{me}$
$\vec{E}$
$\frac{a}{b}$
 
The Sidebar Chatbox...
Scroll to see it, or resize your browser to ignore it...


ShoutMix chat widget

College is Hard - Research is Easy

Find Scholarships Today!

Search FastWeb see Green!

SL Button 125

Free 3D Virtual World. Largest User-Created Fantasy World. Don't Play, Experience. Join Now!

Bored, got time to kill, and want to earn micro-cash by mindlessly clicking on links? Join CrownGPT. Click Offers. Click the Paid to Click button... then click to your heart's delight.

90% Off + FREE SHIPPING!

FREE 3D Virtual World Chat - Join Second Life Today!