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Ewald Sphere

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Related notebooks (26)

Simulating a Telephone Channel using FIR Filter Design

A Telephone Channel Simulator[1]¶ In this notebook we will develop a filter that simulates the effect of a standard telephone channel. In [1]: %matplotlib inline import matplotlib.pyplot as plt import numpy as np import IPython import scipy.signal as sp from scipy.io import wavfile In [2]: plt.rcParams["figure.figsize"] = (14,4) implicit sampling rate will be the internal "clock" of our simulation. In [3]: IPython.display.Audio(s, rate=SF) Out[3]: Your browser does not support

Filtering Music: Extracting Audio Frequencies Using Filters

Filtering Music[1]¶

                                      [2]Paolo Prandoni, [3]LCAV, EPFL

In this notebook we will design and use filters to extract specific audio frequencies from a music file. In [1]: %matplotlib inline import matplotlib.pyplot as plt import numpy as np import IPython import scipy.signal as sp from scipy.io import wavfile infringment...) In [2]: IPython.display.Audio(s, rate=SF) Out[2]: Your browser does not support the audio element.

Extracting the bas

Temperature Dependence of the Fermi-Dirac Distribution

This notebook serves to show how the Fermi-Dirac distribution and its derivative change with temperature.\n", " \n", "The Fermi-dirac distribution is

f(E)=\\frac{1}{e^{(E-\\mu)/k_bT}+1}

\n", "\n", "For the purpose of simplicity, we will plot the graph of

f(E-\\mu)

. This allows us to avoid complications connected with

\\mu

being a function of temperature (consult the other notebook for this week or section 2.2.3 in the notes for more details)\n", "\n", "We first define the r

Understanding Hund s Rules

numbers

S

L

and

J

of an isolated atom or ion from its electronic configuration. Considering a partially filled electronic shell, the following three rules have to be applied in the order given below: 1. The total spin angular momentum

S=\Sigma|m_s|

takes its maximum possible value; 2. The total orbital angular momentum

L=\Sigma|m_l|

is maximized; 3. For more than half-filled shell, the total angular momentum number

J=L+S

, otherwise

J=\vert L-S \vert

. The sl

Tight-Binding Approximation for 2D Lattices: Square, Triangular, Lieb, and Honeycomb

In [1]: import numpy as np import matplotlib.pyplot as plt

from future import print_function

from ipywidgets import interact, interactive, fixed, interact_manual import ipywidgets as widgets %matplotlib inline In [2]: def band(nkl,kpoints,ham): :param k: wave number nk=32 # Define the position of the original lattice #klines=np.zeros((nkl-1,nk)) n=0 d=np.size(ham([0.0,0.0]),1) evk=np.zeros((nknkl-nk-1,d)) lenk=np.zeros((nknkl-nk-1,d)) for i in range(0,nkl-1)

Phase Contrast Transfer Function

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Phase Contras Transfer Function¶{.anchor-link} {#Phase-Contras-Transfer-Function}

This relatively simple notebook

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