Chem Atoms

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    Atoms:Subcomponents and quantum theory

    The physicistJ. J. Thomson, through his work oncathode raysin 1897, discovered the electron, and

    concluded that they were a component of every atom. Thus he overturned the belief that atoms are the

    indivisible, ultimate particles of matter.[25]

    Thomson postulated that the low mass, negatively charged

    electrons were distributed throughout the atom, possibly rotating in rings, with their charge balanced by

    the presence of a uniform sea of positive charge. This later became known as the plum pudding model.

    In 1909,Hans GeigerandErnest Marsden, under the direction of physicistErnest Rutherford, bombarded

    a sheet of gold foil withalpha raysby then known to be positively charged helium atomsand

    discovered that a small percentage of these particles were deflected through much larger angles than

    was predicted using Thomson's proposal. Rutherford interpreted the gold foil experimentas suggesting

    that the positive charge of a heavy gold atom and most of its mass was concentrated in a nucleus at the

    center of the atomtheRutherford model.[26]

    While experimenting with the products ofradioactive decay, in 1913radiochemistFrederick

    Soddydiscovered that there appeared to be more than one type of atom at each position on the periodic

    table.[27]

    The termisotopewas coined byMargaret Toddas a suitable name for different atoms that

    belong to the same element. J.J. Thomson created a technique for separating atom types through his

    work on ionized gases, which subsequently led to the discovery ofstable isotopes.[28]

    ABohr modelof the hydrogen atom, showing an electron jumping between fixed orbits and emitting aphotonof energy with

    a specific frequency.

    Meanwhile, in 1913, physicistNiels Bohrsuggested that the electrons were confined into clearly defined,

    quantized orbits, and could jump between these, but could not freely spiral inward or outward in

    intermediate states.[29]

    An electron must absorb or emit specific amounts of energy to transition between

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    these fixed orbits. When thelightfrom a heated material was passed through aprism, it produced a multi-

    coloredspectrum. The appearance of fixedlines in this spectrumwas successfully explained by these

    orbital transitions.[30]

    Chemical bondsbetween atoms were now explained, byGilbert Newton Lewisin 1916, as the

    interactions between their constituent electrons.[31]

    As thechemical propertiesof the elements were

    known to largely repeat themselves according to theperiodic law,[32]

    in 1919 the American chemistIrving

    Langmuirsuggested that this could be explained if the electrons in an atom were connected or clustered

    in some manner. Groups of electrons were thought to occupy a set ofelectron shellsabout the

    nucleus.[33]

    TheSternGerlach experimentof 1922 provided further evidence of the quantum nature of the atom.

    When a beam of silver atoms was passed through a specially shaped magnetic field, the beam was split

    based on the direction of an atom's angular momentum, or spin. As this direction is random, the beam

    could be expected to spread into a line. Instead, the beam was split into two parts, depending on whether

    the atomic spin was oriented up or down.[34]

    In 1924,Louis de Broglieproposed that all particles behave to an extent like waves. In 1926,Erwin

    Schrdingerused this idea to develop a mathematical model of the atom that described the electrons as

    three-dimensionalwaveformsrather than point particles. A consequence of using waveforms to describe

    particles is that it is mathematically impossible to obtain precise values for both

    thepositionandmomentumof a particle at the same time; this became known as the uncertainty

    principle, formulated byWerner Heisenbergin 1926. In this concept, for a given accuracy in measuring a

    position one could only obtain a range of probable values for momentum, and vice versa. This model was

    able to explain observations of atomic behavior that previous models could not, such as certain structural

    andspectralpatterns of atoms larger than hydrogen. Thus, the planetary model of the atom was

    discarded in favor of one that describedatomic orbitalzones around the nucleus where a given electron

    is most likely to be observed.[35][36]

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    Schematic diagram of a simple mass spectrometer.

    The development of themass spectrometerallowed the exact mass of atoms to be measured. The device

    uses a magnet to bend the trajectory of a beam of ions, and the amount of deflection is determined by the

    ratio of an atom's mass to its charge. The chemistFrancis William Astonused this instrument to show that

    isotopes had different masses. Theatomic massof these isotopes varied by integer amounts, called

    thewhole number rule.[37]

    The explanation for these different isotopes awaited the discovery of

    theneutron, a neutral-charged particle with a mass similar to theproton, by the physicistJames

    Chadwickin 1932. Isotopes were then explained as elements with the same number of protons, but

    different numbers of neutrons within the nucleus.[38]

    Fission, high energy physics and condensed matter

    In 1938, the German chemistOtto Hahn, a student of Rutherford, directed neutrons onto uranium atoms

    expecting to gettransuranium elements. Instead, his chemical experiments showedbariumas a

    product.[39]

    A year later,Lise Meitnerand her nephewOtto Frischverified that Hahn's result were the first

    experimental nuclear fission.[40][41]

    In 1944, Hahn received theNobel prizein chemistry. Despite Hahn's

    efforts, the contributions of Meitner and Frisch were not recognized.[42]

    In the 1950s, the development of improvedparticle acceleratorsandparticle detectorsallowed scientists

    to study the impacts of atoms moving at high energies.[43]

    Neutrons and protons were found to

    behadrons, or composites of smaller particles calledquarks. Standard models of nuclear physics were

    developed that successfully explained the properties of the nucleus in terms of these sub-atomic particles

    and the forces that govern their interactions.[44]

    Components

    Subatomic particles

    Main article:Subatomic particle

    Though the word atom originally denoted a particle that cannot be cut into smaller particles, in modern

    scientific usage the atom is composed of varioussubatomic particles. The constituent particles of an atom

    are theelectron, theprotonand theneutron. However, thehydrogen-1atom has no neutrons and a

    positivehydrogen ionhas no electrons.

    The electron is by far the least massive of these particles at 9.111031

    kg, with a negativeelectrical chargeand a size that is too small to be measured using available

    techniques.[45]

    Protons have a positive charge and a mass 1,836 times that of the electron,

    at 1.67261027

    kg, although this can be reduced by changes to theenergy bindingthe proton into an atom. Neutrons

    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    have no electrical charge and have a free mass of 1,839 times the mass of electrons ,[46]

    or 1.69291027

    kg. Neutrons and protons have comparable dimensionson the order of 2.51015

    malthough the 'surface' of these particles is not sharply defined.[47]

    In theStandard Modelof physics, both protons and neutrons are composed ofelementary

    particlescalledquarks. The quark belongs to thefermiongroup of particles, and is one of the two basic

    constituents of matterthe other being thelepton, of which the electron is an example. There are six

    types of quarks, each having a fractional electric charge of either +23or

    13. Protons are composed of

    twoup quarksand onedown quark, while a neutron consists of one up quark and two down quarks. This

    distinction accounts for the difference in mass and charge between the two particles. The quarks are held

    together by thestrong nuclear force, which is mediated bygluons. The gluon is a member of the family

    ofgaugebosons, which are elementary particles that mediate physicalforces.[48][49]

    Nucleus

    Main article:Atomic nucleus

    Thebinding energyneeded for a nucleon to escape the nucleus, for various isotopes.

    All the bound protons and neutrons in an atom make up a tinyatomic nucleus, and are collectively

    callednucleons. The radius of a nucleus is approximately equal to , whereA is the total

    number of nucleons.[50]

    This is much smaller than the radius of the atom, which is on the order of 105

    fm.

    The nucleons are bound together by a short-ranged attractive potential called the residual strong force. At

    distances smaller than 2.5 fm this force is much more powerful than theelectrostatic forcethat causes

    positively charged protons to repel each other.[51]

    Atoms of the sameelementhave the same number of protons, called theatomic number. Within a single

    element, the number of neutrons may vary, determining theisotopeof that element. The total number of

    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    protons and neutrons determine thenuclide. The number of neutrons relative to the protons determines

    the stability of the nucleus, with certain isotopes undergoingradioactive decay.[52]

    The neutron and the proton are different types offermions. ThePauli exclusion principleis aquantum

    mechanicaleffect that prohibits identicalfermions, such as multiple protons, from occupying the same

    quantum physical state at the same time. Thus every proton in the nucleus must occupy a different state,

    with its own energy level, and the same rule applies to all of the neutrons. This prohibition does not apply

    to a proton and neutron occupying the same quantum state.[53]

    For atoms with low atomic numbers, a nucleus that has a different number of protons than neutrons can

    potentially drop to a lower energy state through a radioactive decay that causes the number of protons

    and neutrons to more closely match. As a result, atoms with roughly matching numbers of protons and

    neutrons are more stable against decay. However, with increasing atomic number, the mutual repulsion

    of the protons requires an increasing proportion of neutrons to maintain the stability of the nucleus, which

    modifies this trend. Thus, there are no stable nuclei with equal proton and neutron numbers above atomic

    number Z = 20 (calcium); and as Z increases toward the heaviest nuclei, the ratio of neutrons per proton

    required for stability increases to about 1.5.[53]

    Illustration of a nuclear fusion process that forms a deuterium nucleus, consisting of a proton and a neutron, from two

    protons. Apositron(e+)anantimatterelectronis emitted along with an electronneutrino.

    The number of protons and neutrons in the atomic nucleus can be modified, although this can require

    very high energies because of the strong force.Nuclear fusionoccurs when multiple atomic particles join

    to form a heavier nucleus, such as through the energetic collision of two nuclei. For example, at the core

    of the Sun protons require energies of 310 keV to overcome their mutual repulsionthecoulomb

    barrierand fuse together into a single nucleus.[54]

    Nuclear fissionis the opposite process, causing a

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    nucleus to split into two smaller nucleiusually through radioactive decay. The nucleus can also be

    modified through bombardment by high energy subatomic particles or photons. If this modifies the

    number of protons in a nucleus, the atom changes to a different chemical element.[55][56]

    If the mass of the nucleus following a fusion reaction is less than the sum of the masses of the separate

    particles, then the difference between these two values can be emitted as a type of usable energy (such

    as agamma ray, or the kinetic energy of abeta particle), as described byAlbert Einstein'smassenergy

    equivalenceformula, E= mc2, where m is the mass loss and cis thespeed of light. This deficit is part of

    thebinding energyof the new nucleus, and it is the non-recoverable loss of the energy that causes the

    fused particles to remain together in a state that requires this energy to separate.[57]

    The fusion of two nuclei that create larger nuclei with lower atomic numbers thanironandnickela total

    nucleon number of about 60is usually anexothermic processthat releases more energy than is

    required to bring them together.[58]

    It is this energy-releasing process that makes nuclear fusion instarsa

    self-sustaining reaction. For heavier nuclei, the binding energy pernucleonin the nucleus begins to

    decrease. That means fusion processes producing nuclei that have atomic numbers higher than about

    26, andatomic masseshigher than about 60, is anendothermic process. These more massive nuclei can

    not undergo an energy-producing fusion reaction that can sustain thehydrostatic equilibriumof a star.[53]

    Electron cloud

    Main articles:Atomic orbitalandElectron configuration

    A potential well, showing, according toclassical mechanics, the minimum energyV(x) needed to reach each positionx.

    Classically, a particle with energy Eis constrained to a range of positions betweenx1 andx2.

    The electrons in an atom are attracted to the protons in the nucleus by theelectromagnetic force. This

    force binds the electrons inside anelectrostaticpotential wellsurrounding the smaller nucleus, which

    means that an external source of energy is needed for the electron to escape. The closer an electron is to

    the nucleus, the greater the attractive force. Hence electrons bound near the center of the potential well

    require more energy to escape than those at greater separations.

    Electrons, like other particles, have properties of both aparticle and a wave. The electron cloud is a

    region inside the potential well where each electron forms a type of three-dimensional standing wavea

    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gy_equivalencehttp://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalencehttp://en.wikipedia.org/wiki/Albert_Einsteinhttp://en.wikipedia.org/wiki/Beta_particlehttp://en.wikipedia.org/wiki/Gamma_rayhttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-55http://en.wikipedia.org/wiki/Atomic_structure#cite_note-55
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    wave form that does not move relative to the nucleus. This behavior is defined by an atomic orbital, a

    mathematical function that characterises the probability that an electron appears to be at a particular

    location when its position is measured.[59]

    Only a discrete (orquantized) set of these orbitals exist around

    the nucleus, as other possible wave patterns rapidly decay into a more stable form .[60]

    Orbitals can have

    one or more ring or node structures, and they differ from each other in size, shape and orientation.[61]

    Wave functions of the first five atomic orbitals. The three 2p orbitals each display a single angularnodethat has an

    orientation and a minimum at the center.

    Each atomic orbital corresponds to a particularenergy levelof the electron. The electron can change its

    state to a higher energy level by absorbing aphotonwith sufficient energy to boost it into the new

    quantum state. Likewise, throughspontaneous emission, an electron in a higher energy state can drop to

    a lower energy state while radiating the excess energy as a photon. These characteristic energy values,

    defined by the differences in the energies of the quantum states, are responsible foratomic spectral

    lines.[60]

    The amount of energy needed to remove or add an electrontheelectron binding energyis far less

    than thebinding energy of nucleons. For example, it requires only 13.6 eV to strip aground-stateelectron

    from a hydrogen atom,[62]

    compared to 2.23 million eV for splitting adeuteriumnucleus.[63]

    Atoms

    areelectricallyneutral if they have an equal number of protons and electrons. Atoms that have either a

    deficit or a surplus of electrons are calledions. Electrons that are farthest from the nucleus may be

    transferred to other nearby atoms or shared between atoms. By this mechanism, atoms are able

    tobondintomoleculesand other types ofchemical

    compoundslikeionicandcovalentnetworkcrystals.[64]

    Properties

    Nuclear properties

    Main articles:Isotope,Stable isotope,List of nuclides, andList of elements by stability of isotopes

    By definition, any two atoms with an identical number ofprotons in their nuclei belong to the

    samechemical element. Atoms with equal numbers of protons but a different number ofneutrons are

    different isotopes of the same element. For example, all hydrogen atoms admit exactly one proton, but

    isotopes exist with no neutronshydrogen-1, one neutron (deuterium), two neutrons (tritium) andmore

    than two neutrons. The hydrogen-1 is by far the most common form, and is sometimes called

    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:S-p-Orbitals.svghttp://en.wikipedia.org/wiki/File:S-p-Orbitals.svghttp://en.wikipedia.org/wiki/File:S-p-Orbitals.svghttp://en.wikipedia.org/wiki/Isotopes_of_hydrogenhttp://en.wikipedia.org/wiki/Isotopes_of_hydrogenhttp://en.wikipedia.org/wiki/Tritiumhttp://en.wikipedia.org/wiki/Deuteriumhttp://en.wikipedia.org/wiki/Hydrogen_atomhttp://en.wikipedia.org/wiki/Chemical_elementhttp://en.wikipedia.org/wiki/List_of_elements_by_stability_of_isotopeshttp://en.wikipedia.org/wiki/List_of_nuclideshttp://en.wikipedia.org/wiki/Stable_isotopehttp://en.wikipedia.org/wiki/Isotopehttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-FOOTNOTESmirnov2003249.E2.80.93272-64http://en.wikipedia.org/wiki/Crystallizationhttp://en.wikipedia.org/wiki/Covalent_bondhttp://en.wikipedia.org/wiki/Ionic_crystalhttp://en.wikipedia.org/wiki/Chemical_compoundhttp://en.wikipedia.org/wiki/Chemical_compoundhttp://en.wikipedia.org/wiki/Moleculehttp://en.wikipedia.org/wiki/Chemical_bondhttp://en.wikipedia.org/wiki/Ionhttp://en.wikipedia.org/wiki/Electric_chargehttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-63http://en.wikipedia.org/wiki/Deuteriumhttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-62http://en.wikipedia.org/wiki/Stationary_statehttp://en.wikipedia.org/wiki/Binding_energyhttp://en.wikipedia.org/wiki/Electron_binding_energyhttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-Brucat-60http://en.wikipedia.org/wiki/Atomic_spectral_linehttp://en.wikipedia.org/wiki/Atomic_spectral_linehttp://en.wikipedia.org/wiki/Spontaneous_emissionhttp://en.wikipedia.org/wiki/Photonhttp://en.wikipedia.org/wiki/Energy_levelhttp://en.wikipedia.org/wiki/Node_(physics)http://en.wikipedia.org/wiki/Atomic_structure#cite_note-61http://en.wikipedia.org/wiki/Atomic_structure#cite_note-Brucat-60http://en.wiktionary.org/wiki/quantizehttp://en.wikipedia.org/wiki/Atomic_structure#cite_note-59http://en.wikipedia.org/wiki/Atomic_orbital
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    protium.[65]

    The known elements form a set of atomic numbers from hydrogen with a single proton up to

    the 118-proton elementununoctium.[66]

    All known isotopes of elements with atomic numbers greater than

    82 are radioactive.[67][68]

    About 339 nuclides occur naturally onEarth,[69]

    of which 255 (about 75%) have not been observed to

    decay, and are referred to as "stable isotopes". However, only 90 of these nuclides are stable to all

    decay, evenin theory. Another 165 (bringing the total to 255) have not been observed to decay, even

    though in theory it is energetically possible. These are also formally classified as "stable". An additional

    33 radioactive nuclides have half lives longer than 80 million years, and are long-lived enough to be

    present from the birth of thesolar system. This collection of 288 nuclides are known asprimordial

    nuclides. Finally, an additional 51 short-lived nuclides are known to occur naturally, as daughter products

    of primordial nuclide decay (such asradiumfromuranium), or else as products of natural energetic

    processes on Earth, such as cosmic ray bombardment (for example, carbon-14).[70][71]

    For 80 of the chemical elements, at least one stable isotopeexists. Elements43,61, and all elements

    numbered83or higher have no stable isotopes. As a rule, there is, for each element, only a handful of

    stable isotopes, the average being 3.2 stable isotopes per element among those that have stable

    isotopes. Twenty-six elements have only a single stable isotope, while the largest number of stable

    isotopes observed for any element is ten, for the elementtin.[72]

    Stability of isotopes is affected by the ratio of protons to neutrons, and also by the presence of certain

    "magic numbers" of neutrons or protons that represent closed and filled quantum shells. These quantum

    shells correspond to a set of energy levels within theshell modelof the nucleus; filled shells, such as the

    filled shell of 50 protons for tin, confers unusual stability on the nuclide. Of the 255 known stable nuclides,

    only four have both an odd number of protons andodd number of neutrons:hydrogen-

    2(deuterium),lithium-6,boron-10andnitrogen-14. Also, only four naturally occurring, radioactive odd-

    odd nuclides have a half-life over a billion years:potassium-40,vanadium-50,lanthanum-

    138andtantalum-180m. Most odd-odd nuclei are highly unstable with respect tobeta decay, because the

    decay products are even-even, and are therefore more strongly bound, due tonuclear pairing effects.[72]

    Mass

    Main article:Atomic mass

    The large majority of an atom's mass comes from the protons and neutrons, the total number of these

    particles in an atom is called themass number. Themass of an atom at restis often expressed using

    theunified atomic mass unit(u), which is also called a Dalton (Da). This unit is defined as a twelfth of the

    mass of a free neutral atom ofcarbon-12, which is approximately 1.661027

    kg.[73]

    Hydrogen-1, the lightest isotope of hydrogen and the atom with the lowest mass, has an atomic

    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    weight of 1.007825 u.[74]

    An atom has a mass approximately equal to the mass number times the atomic

    mass unit.[75]

    The heavieststable atomis lead-208,[67]

    with a mass of 207.9766521 u.[76]

    As even the most massive atoms are far too light to work with directly, chemists instead use the unit

    ofmoles. The mole is defined such that one mole of any element always has the same number of atoms

    (about6.0221023

    ). This number was chosen so that if an element has an atomic mass of 1 u, a mole of atoms of that

    element has a mass close to one gram. Because of the definition of theunified atomic mass

    unit,carbonhas an atomic mass ofexactly12 u, and so a mole of carbon atoms weighs exactly

    0.012 kg.[73]

    Shape and size

    Main article:Atomic radius

    Atoms lack a well-defined outer boundary, so their dimensions are usually described in terms of

    anatomic radius. This is a measure of the distance out to which the electron cloud extends from the

    nucleus. However, this assumes the atom to exhibit a spherical shape, which is only obeyed for atoms in

    vacuum or free space. Atomic radii may be derived from the distances between two nuclei when the two

    atoms are joined in achemical bond. The radius varies with the location of an atom on the atomic chart,

    the type of chemical bond, the number of neighboring atoms (coordination number) and aquantum

    mechanicalproperty known asspin.[77]

    On theperiodic tableof the elements, atom size tends to increase

    when moving down columns, but decrease when moving across rows (left to right).[78]

    Consequently, the

    smallest atom is helium with a radius of 32pm, while one of the largest iscaesiumat 225 pm.[79]

    When subjected to external fields, like anelectrical field, the shape of an atom may deviate from that of a

    sphere. The deformation depends on the field magnitude and the orbital type of outer shell electrons, as

    shown bygroup-theoreticalconsiderations. Aspherical deviations might be elicited for instance incrystals,

    where large crystal-electrical fields may occur atlow-symmetrylattice

    sites.[80]

    Significantellipsoidaldeformations have recently been shown to occur for sulfur ions inpyrite-

    type compounds[81]

    Atomic dimensions are thousands of times smaller than the wavelengths oflight(400700nm) so they

    can not be viewed using anoptical microscope. However, individual atoms can be observed using

    ascanning tunneling microscope. To visualize the minuteness of the atom, consider that a typical humanhair is about 1 million carbon atoms in width.

    [82]A single drop of water contains about 2sextillion(21021

    ) atoms of oxygen, and twice the number of hydrogen atoms.[83]

    A singlecaratdiamondwith a mass

    of 2104

    kg contains about 10 sextillion (1022

    ) atoms ofcarbon.[note 2]

    If an apple were magnified to the size of the

    Earth, then the atoms in the apple would be approximately the size of the original apple.[84]

    Radioactive decay

    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    Main article:Radioactive decay

    This diagram shows thehalf-life(T) of various isotopes with Z protons and N neutrons.

    Every element has one or more isotopes that have unstable nuclei that are subject to radioactive decay,

    causing the nucleus to emit particles or electromagnetic radiation. Radioactivity can occur when the

    radius of a nucleus is large compared with the radius of the strong force, which only acts over distanceson the order of 1 fm.

    [85]

    The most common forms of radioactive decay are:[86][87]

    Alpha decayis caused when the nucleus emits an alpha particle, which is a helium nucleus consisting

    of two protons and two neutrons. The result of the emission is a new element with a loweratomic

    number.

    Beta decayis regulated by theweak force, and results from a transformation of a neutron into a

    proton, or a proton into a neutron. The first is accompanied by the emission of an electron and

    anantineutrino, while the second causes the emission of apositronand aneutrino. The electron or

    positron emissions are called beta particles. Beta decay either increases or decreases the atomic

    number of the nucleus by one.

    Gamma decayresults from a change in the energy level of the nucleus to a lower state, resulting in

    the emission of electromagnetic radiation. This can occur following the emission of an alpha or a beta

    particle from radioactive decay.

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    Other more rare types ofradioactive decayinclude ejection of neutrons or protons or clusters

    ofnucleonsfrom a nucleus, or more than onebeta particle, or result (throughinternal conversion) in

    production of high-speed electrons that are not beta rays, and high-energy photons that are not gamma

    rays.

    Each radioactive isotope has a characteristic decay time periodthehalf-lifethat is determined by the

    amount of time needed for half of a sample to decay. This is anexponential decayprocess that steadily

    decreases the proportion of the remaining isotope by 50% every half life. Hence after two half-lives have

    passed only 25% of the isotope is present, and so forth .[85]

    Magnetic moment

    Main articles:Electron magnetic dipole momentandNuclear magnetic moment

    Elementary particles possess an intrinsic quantum mechanical property known as spin. This is analogous

    to theangular momentumof an object that is spinning around itscenter of mass, although strictly

    speaking these particles are believed to be point-like and cannot be said to be rotating. Spin is measured

    in units of the reducedPlanck constant(), with electrons, protons and neutrons all having spin , or

    "spin-". In an atom, electrons in motion around thenucleuspossess orbitalangular momentumin

    addition to their spin, while the nucleus itself possesses angular momentum due to its nuclear spin .[88]

    Themagnetic fieldproduced by an atomitsmagnetic momentis determined by these various forms of

    angular momentum, just as a rotating charged object classically produces a magnetic field. However, the

    most dominant contribution comes from spin. Due to the nature of electrons to obey thePauli exclusion

    principle, in which no two electrons may be found in the samequantum state, bound electrons pair up

    with each other, with one member of each pair in a spin up state and the other in the opposite, spin down

    state. Thus these spins cancel each other out, reducing the total magnetic dipole moment to zero in some

    atoms with even number of electrons.[89]

    Inferromagneticelements such as iron, an odd number of electrons leads to an unpaired electron and a

    net overall magnetic moment. The orbitals of neighboring atoms overlap and a lower energy state is

    achieved when the spins of unpaired electrons are aligned with each other, a process known as

    anexchange interaction. When the magnetic moments of ferromagnetic atoms are lined up, the material

    can produce a measurable macroscopic field.Paramagnetic materialshave atoms with magnetic

    moments that line up in random directions when no magnetic field is present, but the magnetic moments

    of the individual atoms line up in the presence of a field .[89][90]

    The nucleus of an atom can also have a net spin. Normally these nuclei are aligned in random directions

    because ofthermal equilibrium. However, for certain elements (such asxenon-129) it is possible

    topolarizea significant proportion of the nuclear spin states so that they are aligned in the same

    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    directiona condition calledhyperpolarization. This has important applications inmagnetic resonance

    imaging.[91][92]

    Energy levels

    Main articles:Energy levelandAtomic spectral line

    When an electron is bound to an atom, it has apotential energythat is inversely proportional to its

    distance from the nucleus. This is measured by the amount of energy needed to unbind the electron from

    the atom, and is usually given in units ofelectronvolts(eV). In the quantum mechanical model, a bound

    electron can only occupy a set of states centere