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Cheat Sheet: Journey Inside The Atom

1. Introduction & Ancient Ideas

1.1 Introduction

  • Matter: everything that can be seen, observed, or felt.
  • Matter consists of tiny particles called atoms.
  • Central question: Is an atom the smallest unit of matter or divisible?

1.2 Ancient ideas about matter

ThinkerIdea
Acharya KanadaRepeated division of matter reaches smallest indivisible particles called parmanus.
Parmanu combinationsParmanus combine to form dyads and triads that create material universe.
Limitations of Kanada's ideaNo specification of proportions for combinations to form different substances.
Leucippus and DemocritusProposed indivisible particles called atomos (Greek for indivisible).
Origin of the atom conceptOriginated as an imaginary idea rather than from experiments.

2. Discoveries and Atomic Models

2.1 Discovery of the electron (J. J. Thomson, 1897)

FactDetail
ExperimentConduction of electric current through low-pressure gases using cathode ray tube.
Cathode raysRays moving from cathode to anode observed in electric and magnetic fields.
Universal natureCathode rays independent of cathode material and gas, indicating a fundamental component of all atoms.
Discovery year1897
ScientistJ. J. Thomson
Nobel PrizeThomson received Nobel Prize in Physics in 1906

2.2 Thomson's model of the atom

FeatureDescription
Atomic structureAtom is a sphere of positive charge with electrons embedded throughout.
MetaphorsPlum pudding model; watermelon analogy.
PurposeExplained overall electrical neutrality by distributed positive charge.

2.3 Gold foil (alpha-scattering) experiment

AspectDetail
ResearchersGeiger and Marsden under Ernest Rutherford (1911)
SetupNarrow beam of alpha particles aimed at thin gold foil.
Alpha particle compositionNucleus of helium atom: two protons and two neutrons.
Expected (Thomson)Alpha particles pass straight through or deflect slightly.
ObservedMost passed undeflected; some deflected at large angles; a few bounced back.
TermDeflection of alpha particles called scattering.
ConclusionThomson's model failed to explain large-angle deflections.

2.4 Rutherford's nuclear model (1911)

FeatureDetail
Central ideaPositive charge concentrated in a very small nucleus.
Atomic spaceMost of atom is empty space.
Electron arrangementElectrons revolve around nucleus (planetary model).
Important measurementsAtomic diameter ≈ 10⁻¹⁰ m.
Nucleus sizeNucleus diameter ≈ 10⁻¹⁵ m.
Relative sizeNucleus ≈ 10⁵ times smaller than atom.
AnalogyIf atom ~100 m, nucleus ~a few mm at centre.
ScientistErnest Rutherford (1908 Nobel Prize in Chemistry)

2.5 Limitations of Rutherford's model

  • An accelerating charged electron should lose energy and spiral into nucleus.
  • Rutherford's model could not explain atomic stability.

2.6 Discovery of the proton

FactDetail
Positive charge locationPositive charge in nucleus arises from protons.
Neutrality ruleFor neutrality, number of protons equals number of electrons.
Relative massProtons are much heavier than electrons.
ExamplesHelium: 2 protons and 2 electrons; Sodium: 11 protons and 11 electrons.

3. Bohr Model and Electron Distribution

3.1 Bohr's model (Niels Bohr, 1913)

PostulateDetail
Stationary statesElectrons move in fixed circular paths (orbits/shells) without losing energy.
Shell notationShells labeled K, L, M, N or n = 1, 2, 3, 4,...
Energy orderingEnergy increases with shell number; K (n=1) has least energy.
TransitionsElectrons change shells by absorbing or releasing energy equal to level differences.
Shell capacityEach shell can hold a definite number of electrons.
ScientistNiels Bohr (Nobel Prize 1922)

3.2 Rules for electron distribution (Bohr-Bury)

RuleExpression
Maximum electrons per shell2n² where n is shell number.
K-shell (n=1)2 electrons maximum.
L-shell (n=2)8 electrons maximum.
M-shell (n=3)18 electrons maximum.
Outermost shell limitMaximum electrons in outermost shell = 8.
Filling orderShells filled starting from K outward (K, L, M, N,...).
Electronic configurationDistribution of electrons among shells.

3.3 Electronic configuration of first 18 elements - Element → Symbol

ElementSymbol
HydrogenH
HeliumHe
LithiumLi
BerylliumBe
BoronB
CarbonC
NitrogenN
OxygenO
FluorineF
NeonNe
SodiumNa
MagnesiumMg
AluminiumAl
SiliconSi
PhosphorusP
SulfurS
ChlorineCl
ArgonAr
ElementAtomic No.
Hydrogen1
Helium2
Lithium3
Beryllium4
Boron5
Carbon6
Nitrogen7
Oxygen8
Fluorine9
Neon10
Sodium11
Magnesium12
Aluminium13
Silicon14
Phosphorus15
Sulfur16
Chlorine17
Argon18
ElementProtons
Hydrogen1
Helium2
Lithium3
Beryllium4
Boron5
Carbon6
Nitrogen7
Oxygen8
Fluorine9
Neon10
Sodium11
Magnesium12
Aluminium13
Silicon14
Phosphorus15
Sulfur16
Chlorine17
Argon18
ElementNeutrons
Hydrogen-
Helium2
Lithium4
Beryllium5
Boron6
Carbon6
Nitrogen7
Oxygen8
Fluorine10
Neon10
Sodium12
Magnesium12
Aluminium14
Silicon14
Phosphorus16
Sulfur16
Chlorine18
Argon22
ElementElectrons
Hydrogen1
Helium2
Lithium3
Beryllium4
Boron5
Carbon6
Nitrogen7
Oxygen8
Fluorine9
Neon10
Sodium11
Magnesium12
Aluminium13
Silicon14
Phosphorus15
Sulfur16
Chlorine17
Argon18
ElementK-shell
Hydrogen1
Helium2
Lithium2
Beryllium2
Boron2
Carbon2
Nitrogen2
Oxygen2
Fluorine2
Neon2
Sodium2
Magnesium2
Aluminium2
Silicon2
Phosphorus2
Sulfur2
Chlorine2
Argon2
ElementL-shell
Hydrogen-
Helium-
Lithium1
Beryllium2
Boron3
Carbon4
Nitrogen5
Oxygen6
Fluorine7
Neon8
Sodium8
Magnesium8
Aluminium8
Silicon8
Phosphorus8
Sulfur8
Chlorine8
Argon8
ElementM-shell
Hydrogen-
Helium-
Lithium-
Beryllium-
Boron-
Carbon-
Nitrogen-
Oxygen-
Fluorine-
Neon-
Sodium1
Magnesium2
Aluminium3
Silicon4
Phosphorus5
Sulfur6
Chlorine7
Argon8

4. Subatomic Particles, Atomic Number & Mass Number

4.1 Components contributing to atomic mass

  • Most atomic mass concentrated in nucleus (protons + neutrons).
  • Electron mass is negligible for atomic mass calculations.
  • Observation: helium mass ≈ 4× hydrogen mass despite having two protons - implies additional nuclear mass from neutrons.

4.2 Discovery of the neutron (James Chadwick, 1932)

FactDetail
Discovery year1932
DiscovererJames Chadwick
Neutron propertiesNeutral particle with mass nearly equal to proton; symbol n
OccurrenceNeutrons present in nuclei of all atoms except hydrogen.
ImpactExplains atomic masses greater than proton counts and enables nuclear reactions.
Nobel PrizeChadwick received Nobel Prize in Physics in 1935

4.3 Subatomic particle symbols and relative charges

Subatomic ParticleSymbol / Relative Charge
Electrone⁻ / -1
Protonp⁺ / +1
Neutronn⁰ / 0

4.4 Atomic number (Z) and Mass number (A)

TermDefinition / Expression
Atomic number (Z)Number of protons in the nucleus; determines element identity; equal to number of electrons in neutral atom.
Mass number (A)Total number of protons and neutrons (nucleons) in nucleus.
Mass number formulaA = Z + number of neutrons (n)
Standard atomic notationMass number on top-left, atomic number on bottom-left, followed by element symbol (example: ¹²₆C).

5. Symbols of Elements & Valency

5.1 Rules for chemical symbols (IUPAC norms)

RuleDetail
Letter caseFirst letter uppercase; second letter lowercase if present.
Source of symbolsOften first one or two letters of element name or derived from Latin/Greek/German names.
PurposeInternational standard to communicate element names and symbols.

5.2 Names and symbols of some common elements

ElementSymbol
AluminiumAl
ArgonAr
BariumBa
BoronB
BromineBr
CalciumCa
CarbonC
ChlorineCl
CobaltCo
Copper (Cuprum)Cu
FluorineF
Gold (Aurum)Au
HydrogenH
IodineI
Iron (Ferrum)Fe
Lead (Plumbum)Pb
MagnesiumMg
NeonNe
NitrogenN
OxygenO
Potassium (Kalium)K
SiliconSi
Silver (Argentum)Ag
Sodium (Natrium)Na
SulfurS
UraniumU
ZincZn

5.3 Valency, valence shell and octet

5.4 Examples of valency

TermDefinition
Valence shellOutermost shell of an atom.
Valence electronsElectrons present in valence shell.
OctetCondition when outermost shell has 8 electrons (2 for helium).
ValencyNumber of electrons gained, lost, or shared to complete octet.
Loss/gain ruleElements with <4 valence="" electrons="" tend="" to="" lose="" electrons;="" with="">4 tend to gain electrons to complete octet.
Noble gasesAtoms with complete octet or 2 electrons (helium) have valency 0 and are largely unreactive.
ElementValency / Electronic configuration
SodiumValency 1; configuration 2, 8, 1
OxygenValency 2; configuration 2, 6
CarbonValency 4; configuration 2, 4

6. Isotopes, Isobars and Atomic Mass

6.1 Isotopes

DefinitionAtoms of same element with same atomic number but different mass numbers.
Protium ¹₁H~99.98% - 1 proton, 0 neutrons, 1 electron.
Deuterium ²₁H~0.015% - 1 proton, 1 neutron, 1 electron.
Tritium ³₁HIn traces - 1 proton, 2 neutrons, 1 electron.
Carbon isotopes¹²₆C, ¹³₆C, ¹⁴₆C - each has 6 protons and 6 electrons; differ in neutrons.
Chemical propertiesIsotopes have similar chemical properties due to identical electronic configurations.
Applications²³⁵₉₂U fuel in reactors; ⁶⁰₂₇Co in cancer radiation treatment; ¹³¹₅₃I in thyroid treatment; ¹⁴₆C in archaeological dating.

6.2 Isobars

DefinitionAtoms of different elements with same mass number but different atomic numbers.
Example⁴⁰₂₀Ca, ⁴⁰₁₉K, ⁴⁰₁₈Ar share mass number 40 but have different Z.

6.3 Average and weighted average atomic mass

ConceptDetail / Expression
Simple average (chlorine)(35 + 37) / 2 = 36 u
Weighted averageSum of (isotope mass × fractional abundance).
Chlorine weighted example(35 × 75/100) + (37 × 25/100) = 35.5 u
UnitUnified atomic mass unit (u) used to measure atomic mass.

7. Development Summary & Key Terms

7.1 Development of atomic models - chronological

  1. Dalton: Atom as indivisible particle.
  2. Thomson: Plum pudding model (positive sphere with embedded electrons).
  3. Rutherford: Nuclear model with dense central nucleus.
  4. Bohr: Electrons in fixed energy levels (shells).
  5. Modern atomic model: Quantum mechanical model (electron clouds).
  6. Ongoing research

7.2 Key terms

TermMeaning
AtomThe smallest unit of an element that retains its chemical properties
ParmanuAncient Indian concept for the smallest indivisible particle of matter (by Acharya Kanada)
AtomosGreek word meaning indivisible; the origin of the word 'atom'
RadioactivityEmission of invisible energy and particles from certain elements
ElectronNegatively charged subatomic particle; charge = -1; negligible mass
Cathode raysStreams of negatively charged particles (electrons) moving from cathode to anode
ProtonPositively charged subatomic particle; charge = +1; found in nucleus
NeutronNeutral subatomic particle; no charge; mass nearly equal to proton; found in nucleus
NucleusDense, positively charged central core of an atom containing protons and neutrons
NucleonsProtons and neutrons collectively
Plum Pudding ModelThomson's model - atom as sphere of positive charge with electrons embedded in it
Planetary ModelRutherford's model - electrons revolve around a central nucleus like planets around the Sun
Alpha (α) particlesTiny, positively charged particles emitted from radioactive elements; nucleus of helium atom
ScatteringDeflection of alpha particles from their straight path in the gold foil experiment
Shell / OrbitFixed circular paths followed by electrons around the nucleus (Bohr's model)
Energy levelsDifferent shells representing different definite energies for electrons
Stationary statesFixed shells/orbits in which electrons revolve without losing energy (Bohr's concept)
Atomic number (Z)Number of protons in the nucleus of an atom
Mass number (A)Total number of protons and neutrons (nucleons) in the nucleus
Electronic configurationDistribution of electrons among various shells of an atom
Valence shellThe outermost shell of an atom
Valence electronsElectrons present in the valence (outermost) shell
OctetA condition where an atom has 8 electrons in its outermost shell
ValencyThe combining capacity of an atom - number of electrons gained, lost, or shared to complete the octet
IsotopesAtoms of the same element with same atomic number but different mass numbers
IsobarsAtoms of different elements with same mass number but different atomic numbers
Weighted average atomic massAverage mass of an element calculated by considering the relative abundances of its isotopes
IUPACInternational Union of Pure and Applied Chemistry - body that approves names and symbols of elements
Unified atomic mass unit (u)Unit used to measure the mass of atoms
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