Solid state physics Definition and 133 Discussions
Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from their atomic-scale properties. Thus, solid-state physics forms a theoretical basis of materials science. It also has direct applications, for example in the technology of transistors and semiconductors.
I tried to solve it considering the canonical ensemble (since the system is at the equilibrium with temperature T) and started finding the partition function:
The problem is I am not sure if I have done it correctly and need help because I don't really know where to check.
We usually plot electronic bands with the help of high symmetry points of the irreducible zone of primitive cell of particular material. But if we want to plot bands with conventional cell, we have to map the high symmetry points from primitive cell to conventional cell.
so how can we map the...
I'm an EE with only a surface knowledge of solid state. I know this forum is mostly for students but I don't know where else to find a lot of physicists. Also, please forgive me if this is a dumb question.
For a circuit I want to build, I need a transistor that can conduct > 10,000 A, but does...
For a normal PN junction I would try to find $V_{bi}$ by integrating the carrier density (eg. the electrons n) from one region to the other:
$$\int_{n_{p0}}^{n} \frac {dn}{n} = \frac {q}{kT}\int_{V_p}^{V_n} dV$$
Which would yield:
$$V_{bi}=V_n-V_p=\frac...
In the following pdf I tried to calculate the density of states of free electrons and phonons. First, I found the free electron DOS in 1D, it turns to be proportional to (energy)^(-1/2) and in 2D it is constant. However, I am not sure I found the DOS for phonons in the second part of the...
Does fermi level (in metals) depend on the density of states? I am asking this because from fermi-dirac distribution it seems like that fermi level is non-dependent of DOS, but there is chemical potential in fermi-dirac distribution, which is said to be dependent of DOS.
The Fermi energy Ef is defined as the energy of the topmost filled level in the ground state of the N electron system. Ground state is n=1 level. And in the ground state there can be only one orbital right? One orbital can have only up to 2 electrons. Does this mean that fermy energy is the...
Good Day :
i reached the page 40 of Ashcroft Mermin book and after the equation 2.38 there is this expression of E(a,N) which is equal to Helmoltez Free energy F = U - TS , how this two terms F , E are related ? anyone can provide adequate explanation , and few useful references
Best...
Hey guys,
I have two questions:
1) I thought absolute electrode potential is galvani potential difference at the interface. However, it is given by this equation in John Bockris - Modern Electrochemistry: $$ E(abs) = ^M\Delta^S\phi - \mu_e^M/F $$
First term is galvani potential difference on...
Basically the thread title. For some background, I'm trying to model laser-material interactions, where I'm assuming that the laser is interacting with a free electron gas (copper). To model the interaction, I need to determine the properties of the electron gas, such as the heat capacity...
So really i am just unsure how to answer the last part of the question. I am unsure how to apply the low and high temperature limits the way i have done it. Do i set upper/lower limits on the integral and solve? If so i am not sure what to put
Here is what he book has for 3d
Summary:: Due tight-binding model I derived the energy spectrum of the particle, showing that it comprises three energy bands E+(k), E−(k) and E0(k)=0. Now, I have to find the dispersion laws. Why do I have a flat energy band? What is its physical significance?. Also, what happens to the...
I have attached the pages in Kittel's book (pages 417-420) regarding my question. My question is simply based off of the second to last photo, where e_f = 5*10^4 K and e_1 = 1K.
e_2<e_f and |e_2|<e_1. So how can (e_1/e_f)^2 be less than 1? The energy of the free flowing electron is assumed to...
I am curious about the standard enthalpies of formation of carbon nanotubes, diamond, carbon buckyballs, graphene, etc. I read from physics forums that the standard enthalpies of formation of these allotropes of carbon are small. However, since diamond is fabricated naturally under extreme...
For some work of mine i need the plasma resonance frequency for tin nanoparticle, i searched various research papers and found different efffective masses tin for different orbits. here i attached screen shot from W A Roger and S B Woods (Cyclotron effective masses in white tin). What value is...
Hi,
I am currently studying for our third year solid state physics course. We follow chapters 1-9 From Charles Kittel's "introduction to SSP"
Youtube has a lot of videos on solid state physics yet i am struggling to find any video source for lectures that follow the book of Kittel.
I would...
In picture, there is crystal structure with two atoms.
Question is, what is the lattice points?
Find a set of lattice points.
I think green and pink points are both lattice points. Am i right?
This is our full hw.
Chemical potential is defined as the change in energy due to change in the number of particles in a system. Let we have a system which is defined by the following Hamiltonian:
$$H = -t \sum_i^L c_i^\dagger c_{i+1} + V\sum_i^L n_i n_{i+1} -\mu \sum_i^L n_i$$
where ##c^\dagger (c)## are creation...
Homework Statement
ln the figure below you (b, which is taken from Jenö Sólyom Fundamentals of the physics of solids. Volume 2 chapter 19) see the Fermi sphere of radius k_F inside one section in two dimensions of the Brillouin zone of Na. Draw the dispersion relation E(k) from the I point in...
Hi, for those who don't know, Landau (Lev Davidovitch Landau) had a famous exam called "The theoretical minimum". That exam had to be passed by any future grad-student of his. That test was extremely extensive and difficult, and the student was supposed to be knowledgeable about many fields of...
Homework Statement
Powder sample of monoatomic cubic lattice crystal is analyzed using Debye-Scherrer method. Primitive vetors of direct lattice are: a1 = (a, 0, 0), a2 = (0, a, 0) i a3 = (0, 0, a). Wavelength of x-ray radiation is 1 Å.
a) Find primitive vectors of reciprocal lattice.
b) Find...
Metals are highly effective at screening electric fields. If we place two contacts reasonably far away from each other on a piece of metal and apply a voltage bias, the charge carriers in the section that is far enough from both the contacts should be unaffected by the electric field. Why then...
Hi, I'm an undergrad materials engineering student. I am thinking of studying all the way to a PhD as I'm interested on working in research. Right now I work with Semiconductors and I like the field a lot. However, considering what I'm studying, I want to know if it's a good Idea to look for a...
Homework Statement
I need some help on how to solve this problem.
I am attaching the problem:
[![enter image description here][1]][1]
[![enter image description here][2]][2]
For item (a) in the problem, I think I need to use eq. (13.21)
in the following pic:
[![enter image description...
Homework Statement
My question is more about understanding the task itself, not about calculation.
I am supposed to use the poisson equation, to derive the potential inside a semiconductor for a barrier with potential height ##\phi_B## and a donator doping with ##N1 > N2##. Then I should use...
Hey, I am currently busy with studying solid state physics and looking at diffraction theory. Following link explains Frauenhofer diffraction pretty good: http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/mulslid.html#c3
Let's assume a N=6 multiple slits. Its diffraction pattern depends on slit...
Hello everyone. Currently, I am an undergraduate sophomore planning to study physics and in the process of transferring from community college to University. I am seeking advice on deciding between pursuing a mechanical engineering degree (BS) or a PhD in physics. My journey so far has taken...
I know that Bragg reflection in solid states at the edge of e.g. the first Brillouin Zone causes standing waves at these edges, which creates a gap between the energy bands.
In this picture below you can see the probability density of a symmetric (+) and anti-symmetric (-) standing wave. The...
Phonons on their own lead to the common heat equation. One sees that for example in insulators or non doped semiconductors.
However in metals (or conductors), the electrons are the ones that are mostly responsible for the heat transfer, which extremely surprisingly to me, is also of the form of...
I am trying to use the k.p method to study quantum well band structure. One example Hamiltonian look like this [J. Appl. Phys., 116, 033709(2014)]
where
##{{\hat k}_ \pm } = {{\hat k}_x} \pm i{{\hat k}_y}##
and the matrix elements are function of ##{{\hat k}_i}##
and if quantum well is...
Homework Statement
Homework Equations
The Attempt at a Solution
(a) Total energy is
$$E=\frac{-e^2}{4\pi\epsilon_{0}R}-\frac{B}{R^{5/6}}$$
Taking derivative of E with respect to R and equating it to zero when R=R0 yields,
i.e,
$$\frac{dE}{dR}{\bigg|}_{R=R_0}=0$$
when R=R0
yields...
I'm studying plasmons from "Haken-Quantum Field Theory of Solids", and i need some help in the calculation of the equation of motion of eletrons' density
\begin{equation}
\hat{\rho}_{\overrightarrow{q}} = \frac{1}{\sqrt{V}} \sum_{\overrightarrow{k}}...
I'm reading Mermin's Solid State Physics, chapter 12: The semiclasssical model of electron dynamics. I know the current density from the ##n## band is
$$ \mathbf{j}=(-e)\int_{\text{occupied}}f(\epsilon_{\text{n}}(\mathbf{k}))\frac{d\mathbf{k}}{4\pi^3}\mathbf{v}_{\text{n}}(\mathbf{k}). $$
In...
In Grosso's Solid State Physics, chapter 1, page 2, The author said that:
Therefore, I plug (4) into (1), and I expect that I can get the following relationship, which proves that ##H\left|W_{k}(x)\right\rangle## belongs to the subspace ##\mathbf{S}_{k}## of plane waves of wavenumbers...
(Oh my god, why can't my post show normally? Some sentences just disappear, but I can still see them while editing. It's very weird. Can someone help me? I've reported.)
I know only partially filled bands result in current density, and I think there must be not only 2 partially filled bands...
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Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
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Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099
Copyright strictly reserved to Prof. Amal Kumar Das and NPTEL, Govt. of India.
Lectures: http://www.nptel.ac.in/courses/115105099/
Syllabus: http://www.nptel.ac.in/syllabus/syllabus.php?subjectId=115105099