The periodic table, also known as the periodic table of elements, is a tabular display of the chemical elements, which are arranged by atomic number, electron configuration, and recurring chemical properties. The structure of the table shows periodic trends. The seven rows of the table, called periods, generally have metals on the left and nonmetals on the right. The columns, called groups, contain elements with similar chemical behaviours. Six groups have accepted names as well as assigned numbers: for example, group 17 elements are the halogens; and group 18 are the noble gases. Also displayed are four simple rectangular areas or blocks associated with the filling of different atomic orbitals.
The elements from atomic numbers 1 (hydrogen) to 118 (oganesson) have all been discovered or synthesized, completing seven full rows of the periodic table. The first 94 elements, hydrogen to plutonium, all occur naturally, though some are found only in trace amounts and a few were discovered in nature only after having first been synthesized. Elements 95 to 118 have only been synthesized in laboratories, nuclear reactors, or nuclear explosions. The synthesis of elements having higher atomic numbers is currently being pursued: these elements would begin an eighth row, and theoretical work has been done to suggest possible candidates for this extension. Numerous synthetic radioisotopes of naturally occurring elements have also been produced in laboratories.
The organization of the periodic table can be used to derive relationships between the various element properties, and also to predict chemical properties and behaviours of undiscovered or newly synthesized elements. Russian chemist Dmitri Mendeleev published the first recognizable periodic table in 1869, developed mainly to illustrate periodic trends of the then-known elements. He also predicted some properties of unidentified elements that were expected to fill gaps within the table. Most of his forecasts soon proved to be correct, culminating with the discovery of gallium and germanium in 1875 and 1886 respectively, which corroborated his predictions. Mendeleev's idea has been slowly expanded and refined with the discovery or synthesis of further new elements and the development of new theoretical models to explain chemical behaviour. The modern periodic table now provides a useful framework for analyzing chemical reactions, and continues to be widely used in chemistry, nuclear physics and other sciences. Some discussion remains ongoing regarding the placement and categorisation of specific elements, the future extension and limits of the table, and whether there is an optimal form of the table.
Chart: https://periodicity.io/
Kadin Zhang's code on github: https://periodicity.io/
edit: https://github.com/kadinzhang/Periodicity
The app is very useful for beginning chemistry students, IMO, but is even better for learning the vue.js toolset for web development. Code example itself is...
Basically, the F block is a series in the periodic table that consist of elements that are artificially synthesized. My question is, why were these elements synthesized? What was the need of synthesizing such elements?
I am trying to understand diffraction on periodic structured in solid state physics.Q is the source of the spherical wave. R the vector to the object and R+r the vector to the scattering centre P, which gives us a another spherical wave.
All spherical waves are considered as plane waves due to...
Homework Statement
How can I calculate the initial phase in a simple harmonic motion if I only have the amplitude, frequency and angular velocity as data?
Homework Equations
The formula of the position, in fact they ask me to do the formula that allows to know the elongation depending on the...
In ab initio calculations for periodic systems, only an irreducible K grid is used for calculation, and consequently only those K points have their wavefunction calculated. My question is, how to recover wavefunction at other K points not included in the irreducible K grid? Similar questions to...
https://en.wikipedia.org/wiki/Discrete_Fourier_transform
Why is the signal obtained from a DFT periodic?
The time signal x[n] is finite and the number of sinusoids being correlated with it is finite, yet its said the frequency spectrum obtained after the DFT is periodic. I've also read the...
I know that some functions are ## 2 \pi ## periodic but what does it mean that a function is ##1##-periodic.
Is it ##f(x+1n) = f(x)## where ## n \in \mathbb{Z} ## ?
Hello people, I have 3 questions related to the mean speed of electrons in a period potential /lattice. I've read Ashcroft and Mermin's page 139 as well as the Apendix E.
From what I understood, if one applies the momentum operator on the wavefunction of a Bloch electron, one doesn't get a...
Hello everyone!
I'm trying to get a deeper understanding on how to determine those periodic orbits in the equal-mass three-body Newtonian gravitational problems. The most general idea I know is to confine the three bodies into a zero angular momentum space, which sounds vague to me. What is the...
Loosely speaking, we say that periodic orbits are 'dense' if given any $\epsilon$-neighborhood, there exists at least one periodic point in that neighborhood for any $\epsilon > 0$.
Is there any requirement for these periodic points to be unique?
For example, what if every neighborhood...
Hi,
Is this possible to represent a periodic function like a triangular wave or square wave using a Taylor series? A triangular wave could be represented as f(x)=|x|=x 0<x<π or f(x)=|x|=-x -π<x<0. I don't see any way of doing although I know that trigonometric series could be used instead...
Homework Statement
A particle moving in a periodic potential has one-dimensional dynamics according to a Hamiltonian ## \hat H = \hat p_x^2/2m+V_0(1-cos(\hat x))##
a) Express ## \frac{d <\hat x>}{dt}## in terms of ##<\hat p_x>##.
b) Express ## \frac{d <\hat p_x>}{dt}## in terms of ##<sin(\hat...
Homework Statement
Find Fourier coefficients of the periodic function whose template is x(t) where the Fourier Transform of x(t) is X(f) = (1-f^2)^2 where \left|f\right|<1 and period T_0= 4.
Homework Equations
FC=\hat x_T(k,T_0)=\sum_{k=-\infty}^\infty\frac{1}{T_0}X\left(k/T_0\right)
The...
Hello,
I am attempting to solve the 1 d heat equation using separation of variables.
1d heat equation:
##\frac{\partial T}{\partial t} = \alpha \frac{\partial^2 T}{\partial x^2}##
I used the standard separation of variables to get a solution. Without including boundary conditions right now...
I have created a savonius turbine model with 2 blades using 3D gambit. I want to simulate the flow of air flowing so as to drive the turbine savonius spin (unsteady, incompressible). Geometry consists of 3 volume boxes (domain tunnel flow), cylinder (domain grid interface), blade savonius...
Homework Statement
I have the heat equation
$$u_t=u_{xx}$$
$$u(0,t)=0$$
$$u(1,t) = \cos(\omega t)$$
$$u(x,0)=f(x)$$
Find the stable state solution.
The Attempt at a Solution
I used a transformation to complex to solve this problem, and then I can just take the real part to the complex...
!HELP!
The Singapore Flyer, until recently the world's largest Ferris wheel, completes one rotation every 32 minutes.1 Measuring 150 m in diameter, the Flyer is set atop a terminal building, with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina Centre, it...
If you know the velocity of an object as a function of position Can you use a uniform distribution over one period and the object velocity to perform a change of variables for the positional probability.
Example.
X(t)=Asin(wt)
V(t)=Awcos(wt)
V(X)=+-Aw(1-(X/A)^2)^(1/2)
P(t)=1/T
T=Period
Change...
Hi. I'm a student of electrical engineering, and I've always been interested in the idea of electrical cars, so I came up with a question: let's suppose we want to have a normal trip with car, and then we're not interested in going so fast with it. When we are driving in this condition, it isn't...
Homework Statement
Three periodic currents have the same ##f=100 Hz##. The amplitude of the second current is ##4 A##. and is equal to half of the amplitude of the third current. Effective value of the third current is 5 times that of the first current. At time ##t_1=2ms## third current...
So far, I have taken General Chemistry I and II, and Organic Chemistry I. Out of these classes, only General Chemistry I seems to make use of the periodic table, but it is mostly just going through the basics of the periodc table. Not so much in Gen Chem II or Orgo I. I mean they give it to you...
Homework Statement
"Each piston of an engine makes a sharp sound every other revolution of the engine. (a) How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? (b) At how many revolutions per...
Is there a period trend for bond enthalpy? Specifically Atom-Hydrogen bonds. Need to find a trend in predicting the bond enthalpy of several atom-hydrogen bonds I calculated using gaussian.
Any help would be appreciated, thanks!
Hi, I need to teach a lesson on electrons in periodic potentials for Bachelor Physics students in just 20 minutes
Any ideas on how to organize the lesson (pre-concepts they should know, relevant message and consequences) would be very much appreciated
(Mentor note: moved here from noon homework thread hence no template)
I was studying vibration of a one-dimensional monatomic chain and the textbook used periodic boundary condition (PBC).
I wanted to justify the use of PBC, so I came up with this:
atoms deep inside the crystal sees an...
Homework Statement
Homework Equations
I'm not sure.
The Attempt at a Solution
I started on (i) -- this is where I've gotten so far.
I am asked to compute the Fourier transform of a periodic potential, ##V(x)=\beta \cos(\frac{2\pi x}{a})## such that...
Hi,
I'm trying to understand the bound states of a periodic potential well in one dimension, as the title suggests. Suppose I have the following potential, V(x) = -A*(cos(w*x)-1). I'm trying to figure out what sort of bound energy eigenstates you'd expect for a potential like this. Specifically...
Homework Statement
##\Omega = {nw_1+mw_2| m,n \in Z} ##
##z_1 ~ z_2 ## is defined by if ##z_1-z_2 \in \Omega ##
My notes say ##z + \Omega## are the cosets/ equivalence classes , denoted by ##[z] = {z+mw_1+nw_2} ##
Homework Equations
above
The Attempt at a Solution
So equivalance classe...
Homework Statement
Consider the set V + {all periodic *complex* functions of time t with period 1} Draw two example functions that belong to V.
Show that if f(t) and g(t) are members of V then so is f(t) + g(t)Homework EquationsThe Attempt at a Solution
f(t) = e(i*w0*t))
g(t) =e(i*w0*t...
Can combination elements in group I and group VII be a semiconductor?
My thinking is that they form the octet rule just like group II and group VI elements.
Homework Statement
Let f : R → Rn be a smooth function. Give necessary and sufficient conditions on f so that the antiderivative F(x) = ∫f(t)dt (from 0 to x) is periodic with period p ≠ 0
Homework EquationsThe Attempt at a Solution
My initial thought is that as long as f is periodic then F...
Homework Statement
Explain why the first four rows of periodic table have 2, 8, 8 and 18 atoms respectively
Homework Equations
I have a feeling this has something to do with the central field approximation OR the s, p, d, f orbitals and how many electrons can go in each OR something else
The...
Heres an example.
Let G(s) be the moving average of all previous values of f(s).
G(s) and F(s) intersect at multiple points. Is it possible to prove that the intersections happen periodically?
< Mentor Note -- thread moved to HH from the technical forums, so no HH Template is shown >
Hi all. I'm completely new to these forums so sorry if I'm doing anything wrong.
Anyway, I have this question...
Find the Fourier series for the periodic function
f(x) = x^2 (-pi < x < pi)...
Can someone point me to a proof that Action-Angle coordinates in Hamilton-Jacobi Theory must be periodic.
I have looked all over and no one seems to prove it, they just assume it.
Thanks.
Hello everybody,
I have some questions about treatment of Schrodinger equation where ## \hat{V}(\theta)##, the potential energy part of Hamiltonian ##\hat{H}=\hat{T}(\theta)+\hat{V}(\theta)## is a trigonometric function like:
##\hat{V}(\theta) = a sin(\theta)##
or
##\hat{V}(\theta) = a...
Hi all,
I am reading something on wave function in quantum mechanics. I am thinking a situation if we have particles distributed over a periodic potential such that the wave function is periodic as well. For example, it could be a superposition of a series of equal-amplitude plane waves with...
A tad embarrassed to ask, but I've been going in circles for a while! Maybe i'll rubber duck myself out of it.
If f(t) = f(t+T) then we can find the Fourier transform of f(t) through a sequence of delta functions located at the harmonics of the fundamental frequency modulated by the Fourier...
Consider the following mechanical system
A thin tube can rotate freely in the vertical plane about a fixed horizontal axis passing through its centre ##O##. A moment of inertia of the tube about this axis is equal to ##J##. The mass of the tube is distributed symmetrically such that tube's...
Say we have a periodic sequencs, ABCDABCDABCDA... etc. We would normally call A term 1, B term 2, C term 3, etc. However, to find the nth term, do we need to designate A as term 0, B as term 1, etc? Since we would use n mod 4 to find the nth term, wouldn't this mean that 4, 8, 12, etc would have...
Homework Statement
Homework Equations
none
The Attempt at a Solution
a) It is a periodic relationship because the number of hours of daylight repeats each year?
OR
It is a periodic relationship because the number of hours of daylight is based on the rotation of the earth, which is also...
If we have an infinite square well, I can follow the usual solution in Griffiths but I now want to impose periodic boundary conditions. I have
\psi(x) = A\sin(kx) + B\cos(kx)
with boundary conditions \psi(x) = \psi(x+L)
In the fixed boundary case, we had \psi(0) = 0 which meant B=0 and...
Homework Statement
Homework Equations
no equations required
The Attempt at a Solution
[/B]
a)
The number of hours of daylight is a periodic relationship, because it repeats the same wave-like pattern over the course of 1-2 years.
b)
the period is the amount of time it takes for one cycle...