What is Periodic: Definition and 434 Discussions

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.

View More On Wikipedia.org
  1. A

    Resolving Forces for Periodic Motion in a Suitcase

    Hi all, Everything is in the pdf file. I did the question, but I'm not sure if its correct. My lecture is using Wiley, and I think it is really confusing service for assignments. Anyways, my questions are: Is the question done out right? Why is there θ given, if I don't really need to...
  2. PrincePhoenix

    Periodic Motion: Explaining Resolving into Oscillatory Components

    According to our textbook "..every periodic motion, however complicated it may be, can always be resolved into simple oscillatory components." Can someone explain this? How can the periodic motion of Earth be resolved into oscillatory components?
  3. A

    MATLAB - piecewise defined Fn as periodic

    Homework Statement We have been provided with a graph of a function modeled by F(t)=a-aU(t-1)+(-3/2.5*t+4.2)U(t-1)-(-3/2.5*t+4.2)U(t-3.5) I have entered this into MATLAB and it replicates the graph we have been provided with but we now need to extend this as an Even function.
  4. E

    F(x) = x as a sum of periodic functions?

    someone told me that there's a proof that says f(x) = x can be expressed as a sum of two periodic functions.. does anybody know this? thanks for sharing
  5. M

    How do you determine the valence energy level when looking at a periodic table?

    How do you know how many valence energy level you have by just looking at the periodic table? because you know that the group number tells the valence electrons right. :) so what about valence energy level? :D
  6. D

    Heat equation with periodic BC

    I got the following PDE. {\frac {\partial }{\partial t}}u \left( y,t \right) = \nu \cdot {\frac {\partial ^{2}}{\partial {y}^{2}}}u \left( y,t \right) With boundary conditions: y=0: u(0,t)=0 y=h: u(h,t)=U_0 \cdot cos(\omega \cdot t) Now I need to show by using substitution that...
  7. Bob_for_short

    Periodic Force Action: Can It Displace a Particle Without Integration?

    It is not a home work. Let us suppose that at t=0 a particle is at rest. At t=0 we switch on a periodic force F(t) = F0sin(ωt). Without integrating the Newton equation, do you think such a force is capable of displacing the particle to very far places as the time goes on?
  8. J

    How do you determine a f(x) is periodic and fundamental period

    OKay so here are two examples: let say 1) f(x) = cos 2x + cos x how do you determine whether this function is periodic? I know I have to find period for each cosine. The first one is pi and second is 2pi. Then what do you do? And eventually, how do you determine the fundamental period...
  9. G

    Question on finding the Fundamental Period of a periodic FM signal

    Homework Statement s(t)=13*cos(2000*pi*t + 100*sin(8*pi*t)) Determine the fundamental period of this signal, i.e., the shortest period. Homework Equations x(t)=A*cos(2*pi*f(c)*t + a*sin(2*pi*f(m) + phi)) A=13; f(c)=1000; a=100; f(m)=4; phi=0 Inverse Euler's - A*cos(omega*t + phi) =...
  10. F

    Periodic, continuous and piecewise smooth function

    Dear friends, I am a new member of physics forums, so this is may new message. Already thanks to you for your helps to my question. I research some applied mathematician problem's numerical solutions. There are initial-boundary value problems. I need an initial condition function which must...
  11. S

    Is Tangent Function Periodic Like Sine and Cosine?

    cos and sin are periodic at 2pi How about tan?
  12. P

    Normal coordinate substitutions with periodic boundary conditions

    Could someone plase hep me with normal coordinate substitutions with periodic boundary conditions, I can't see where the 1/N cancels in the attached file Thanks Doug
  13. C

    F(x)+g(x) is also periodic

    Hello, correct me if I am wrong, but as far as I know if 2 functions f(x) and g(x) are periodic with Tf and Tg periods. f(x)+g(x) is also periodic with least common multiple of Tf and Tg. But; what if that least common multiple doesn't exist? is "sin(x) + sin(pi*x)" periodic? there...
  14. J

    Proving sums of periodic functions need not be periodic(almost periodic)

    Homework Statement Hi and thank you for reading this! Let \left.f(x) = cos(x) + cos\left(\pi x\right) a) show that the equation f(x)=2 has a unique solution. b) conclude from part a that f is not periodic. Does this contradict withe the previous exercise that states if...
  15. C

    Periodic function and substitution question

    Let f: R-> R be a continuous function. Let T>0 be such that f(x+T)= f(x) for all x. We say that f is a periodic function with a period T>0. Use an appropriate substitution to prove that for all real numbers a \int^{a+T}_{a}f(x)dx = \int^{T}_{0}f(x)dx. I have no idea how to do this...
  16. S

    Understanding Periodic Table Trends

    Hello everyone. I am currently studying the periodic trends in my chemistry I class. So I just want to make sure I understand the concepts. Z effective= Atomic # - # of core electrons. Z increases across a row and doesn't really change going down a group. Size, radius, of atoms the...
  17. H

    Determinism from periodic dynamics?

    Recently ( http://arxiv.org/abs/0903.3680 ) has been pointed out a relationship between QM and periodic dynamics, generalizing the old approach to QM due to de Broglie at.al. In particular it is claimed that imposing periodic boundary conditions to a field (on flat spacetime in the free case)...
  18. M

    Displacment in simple harmonic motion after periodic time

    i just studied S.H.M and i am wondering is the displacement equals the amplitude or zero after the periodic time? because when i thought it equals zero at first because the periodic time is time required for the object to make acomplete oscillation and return to it's starting point right? but...
  19. S

    Rational numbers - periodic decimal expansion

    Homework Statement Let n/m be a positive rational number in lowest terms. By examining the long division algorithm, show that the decimal expansion of n/m is eventually periodic, and that the period divides phi(m). For simplicity,you may assume that (m, 10) = 1. Homework Equations...
  20. Q

    Periodic Functions formula

    Homework Statement The desert temperature, H, oscillates daily between 40 degrees F at 5 am, and 80 degrees F at 5 pm. Write a possible formula for H in terms of t, measured in hours from 5 am. The Attempt at a Solution The best I can come up with is H=60+40sin((pi/6)t) but this...
  21. wolram

    Periodic astronomical phenomena

    arXiv:0901.3173 [pdf] Title: Whilst this Planet Has Gone Cycling On: What Role for Periodic Astronomical Phenomena in Large Scale Patterns in the History of Life? Authors: B.S. Lieberman, A.L. Melott (University of Kansas) Comments: 39 pages, 5 figures, to be published in the Biosphere...
  22. J

    COMSOL doing periodic boundary conditions in navier stokes

    Please can anyone tell me how to set this up? I know how to do the required settings in the Physics/Period Conditions. However, to fully implement it, I'm also required to choose boundary conditions in the 2D incompressible navier stokes solver (e.g. wall, inlet, outflow, open boundary...
  23. G

    Direct substitution in the analysis of periodic motion

    Homework Statement By direct substitution, show that equation (3) is a solution of the differential equation (2). Homework Equations (2) (d^2 θ)/(dt^2 )=-g/l θ (Second derivative of θ(t)=-g/l θ.) (3) θ(t)=θ_0 cos⁡(√(g/l) t) The Attempt at a Solution I...
  24. T

    Cardinality of set of real periodic functions

    what is the cardinality of a set A of real periodic functions ? f(x)=x is periodic so R is subset of A but not equal because sin(x) is in A but not in R. hence aleph_1<|A|.
  25. K

    Period length of product of two periodic function, Fourier Series

    Hello, I am currently dealing with Fourier Series, and a question about the period length of a product of two periodic functions is bothering me. If you have two different periodic functions with different (or the same) period and you sum them up, what happens to the period? Can this generally...
  26. T

    Bandgap in a weak periodic potential

    Using the Schrodinger equation for an electron in a periodic potential where U(r +R) [R is the translation vector R=n1a1+n2a2+n3a3 and ni are intergers and ai are teh primitive lattice vectors, G is for reciprocal lattice G=n1b1+n2b2+n3b3 and ni are intergers and bi= (2PI*aj x ak)/(a1 . a2 x...
  27. F

    Are All Waves Periodical?

    Hi guys.. I was wondering are all waves periodical? I mean is periodicity an intrinsic characteristic of a wave? Thanks, Ed.
  28. B

    Particle motion of P consists of a periodic oscillation

    Homework Statement A particle P of mass m moves on the x-axis under the force field with potential energy V=V0(x/b)4, where V0 and b are positive constants. Show that any motion of P consists of a periodic oscillation with centre at the origin. Show further that, when oscillation has amplitude...
  29. jacksonpeeble

    Accurate, Complete Periodic Table

    I am wondering if somebody can please help me to locate a very accurate, complete periodic table. Specifically, I'm looking for one that is color, contains electron configurations, and is up-to-date and accurate to the typical number of decimal places. I've searched Google and was not happy...
  30. B

    Diffusion eq. with periodic BC using method of images

    Homework Statement Considering the periodic boundary conditions (given below) I am supposed to find the solution T(x,t) with the initial condition T(x,0)=\delta(x) Also I am limited to use method of images so I can't use separation of variables unfortunately. Homework Equations The boundary...
  31. P

    How useful is nonlinear ODE (stability, periodic solutions, etc)?

    Hi, I have a choice of taking this advanced ODE course, and I am wondering if this is worth studying. The course will cover mainly chapter 9 of Boyce/DiPrima textbook after we cover existence and uniqueness theorem. Chapter 9 is called "Nonlinear Differential Equations", and covers topics...
  32. N

    Understanding Odd, Periodic Functions: Integrals and Periodic Shifts

    Homework Statement Hi all. Can you confirm these statements: 1) If I integrate an odd, periodic function of period 2L over one period, then the integral equals zero. 2) If I have a function f(x) with period 2L, then f(x+alfa), where alfa is an arbitrary number, will not change it's...
  33. D

    Free Electron Model: Why periodic boundary conditions and what is L ?

    Free Electron Model: Why periodic boundary conditions and what is "L"? Right, hello! The quantum free electron model for electrons in solids (in One dimension) says we need to use periodic boundary conditions such that if Y(x) is the wavefunction, then Y(x) = Y(x+L). Where L seems to be...
  34. N

    Continuity and periodic functions

    Homework Statement We have a piecewise continuous function and T-periodic function f and we have that: F(a) = \int_a^{a + T} {f(x)dx} I have to show that F is diferentiable at a if f is continuous at a. My attempt so far: I have showed that F is continuous for all a. If we look at one...
  35. A

    A dif equation, proving periodic solutions

    Homework Statement Based only on differential equations, discuss why it is unlikely that d^2y/dt = ay with a > 0 has periodic solutions. Homework Equations periodic functions go to infiniti or negative infiniti, differential equations are continuous... The Attempt at a Solution...
  36. G

    Periodic Sound Waves: Pressure & Displacement Intervals

    Apparently, by what I read, the pressure intervals are 90 degrees out of phase with the displacement intervals for a sound wave. How is that so? When the medium is compressed, shouldn't the pressure be at a maximum and when at rarefactions, shouldn't the pressure be at a minimum?
  37. E

    20 Scientists Who Prepared the Periodic Table

    :frown: Hello, guys. I need help. My professor ask us to search for the 20 scientists who prepared the Periodic Table. Well, so far, I only found 10 scientists. 1.Aristotle 2.Antoine Lavoisier 3.Jöns Jakob Berzelius 4.Johann Döbereiner 5.John Newlands 6.Lothar Meyer 7.Dmitri...
  38. O

    What is the Periodic Table of Videos?

    From the University of Nottingham, a video series on the 118 elements. http://news.bbc.co.uk/1/hi/sci/tech/7507986.stm Their website: http://www.periodicvideos.com/ And their YouTube channel: http://youtube.com/user/periodicvideos
  39. N

    Solid State: Electron in periodic potential

    Homework Statement Starting from the wave function of free electron and applying first order approximation of time independent perturbation theory find wave function of electron in periodic potential. Homework Equations Potential energy in reciprocal space E_{p}(\vec{r}) = \sum_{\vec{g}...
  40. N

    Periodic wave direction question.

    I had actually posted this question earlier below one of my other questions but I am pretty sure it was hidden and no one saw it because it was nestled under a few responses... so here: A periodic wave has the equation .15m*sin(10t+(pi)x) Now i am getting a little bit mixed up about how...
  41. C

    Periodic table of elements is inaccurate

    is there a better way to chart elements? surely chemicals characteristics don't behave by atomic number
  42. B

    Notes and soundwaves and periodic functions and algebra

    this has to do with music and notes and soundwaves and stuff i have to find out the sound waves for thirds (eg c and e or d and f or e and g... u get the picture). its in radians by the way. i figured id worked out the formula for c and the formila for e and just add them but I am not sure...
  43. C

    Periodic Function: cos(x^2) & cos(\sqrt[2]{x})

    periodic question?? is cos (x^2) a periodic function, also tell about cos(\sqrt[2]{x}) and what's its period if it is?
  44. N

    Periodic Functions Homework: Eigenvalues & Oscillations

    Homework Statement What kind of conditions do eigenvalues impose to ensure periodicity? Is it plausible to say that irrational multiples of eigenvalues imply no harmonic oscillations, if so why? Homework Equations The Attempt at a Solution
  45. K

    Suggest with reasons, to which group of the Periodic Table element X b

    Homework Statement Element X forms a chloride, XCln which melts at 3\circC. When 0.500 g of the chloride reacts with an excess of acidified silver nitrate, 1.19g of AgCl are formed. Another 0.500g sample of the chloride is heated strongly and chlorine gas is given off. When the residue is...
  46. N

    Atomic Radius Increase Up Periodic Table: Why?

    If an atom with more protons have tighter electron orbitals than atoms with fewer protons, why doesn't the "atomic radius" decrease up the periodic table? Instead it increases, why is this?
  47. wolram

    Einstein@Home search for periodic gravitational waves in LIGO S4 data

    arXiv:0804.1747 [pdf, other] Title: The Einstein@Home search for periodic gravitational waves in LIGO S4 data Authors: LIGO Scientific Collaboration: B. Abbott, et al Comments: 29 pages, 19 figures Subjects: General Relativity and Quantum Cosmology (gr-qc) A search for periodic...
  48. I

    What Determines When a Metal Ball Leaves an Oscillating Tray?

    Homework Statement A 1.50-kg, horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 N/m and a 275-g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 15.0 cm below its equilibrium point (call...
  49. M

    Initial values lead to periodic solution

    Homework Statement Homework Equations How do you know when a given set of initial values for an ODE produce a periodic solution? The Attempt at a Solution I tried playing around with it for a bit and then searching the net but came up with nothing
  50. M

    Initial condition leads to periodic solution

    Hi, I have a question that asks me to explain how you could know if the initial conditions lead to a periodic solution of an ODE but I have no clue right now. I'd appreciate any help. Thanks edit: The question is a bit obscure because I am not sure if they are asking in general of for the...
Back
Top