Atomic Structure
Unit conversion

Atomic Size radius
•Order of magnitude – (10-10 – 10-12)m
•Radius Li atom – (1.5 x 10-10)m
•Radius nucleus – (1 x 10-14)m
Radius Li
atom

Radius Nucleus
Li atom

Nucleon –made up of (protons + neutrons)
Protons – made up of 2 up quarks + 1 down quark
Neutron – made up of 2 down quarks + 1 up quark

1nm – 1 x 10-9 m
1pm – 1 x 10-12 m
1A - 1 x 10-10 m

Elementary particles making up
nucleon (protons + neutrons)

Recent discovery particles with help of Large Hadron Collider
Structure within atom

Video on new particles physics

http://astronomyonline.org/ViewImage.asp?Cate=Home&SubCate=MP01&SubCate2=&Img=%2FScience%2FImages%2FAtomicStructure.jpg&C
pt
Discovery timeline Democritus to Quantum model

Discovery of elementary particles

Elementary particles

Video on timeline discovery
Structure within atom

Recent discovery particles from
Large Hadron Collider
Discovery of Higgs boson and Higgs field
Particles interact with Higgs field to produce mass

Higgs boson leftover excitation of particles of Higgs field
Video on new particles physics

Higgs Boson Discovery Wins Nobel Prize for Physics

Video on Higgs field part 1

Video on Higgs field part 2

Video on NOBEL PRIZE 2013 !!!!!!
Atomic Structure
Unit conversion

Atomic Size radius
•Order of magnitude – (10-10 – 10-12)m
•Radius Li atom – (1.5 x 10-10)m
•Radius nucleus – (1 x 10-14)m
Radius Li
atom

Radius Nucleus
Li atom

Nucleon –made up of (protons + neutrons)
Protons – made up of 2 up quarks + 1 down quark
Neutron – made up of 2 down quarks + 1 up quark

1nm – 1 x 10-9 m
1pm – 1 x 10-12 m
1A - 1 x 10-10 m

Elementary particles making up
nucleon (protons + neutrons)

Scale/size of matter from smallest to largest

Excellent Flash on scale of universe

Excellent Flash on biological cells

Video on scale of universe
Elementary particles

Structure within atom

Recent discovery particles from
Large Hadron Collider

Particles interact with Higgs field to produce mass

Discovery of Higgs boson and Higgs field

Mass (proton + neutron)- due to interaction between
up quarks/down quarks with gluons (energy fluatutions)

Proton -2 up quarks
1 down quark

Video on Higgs field

What is Higgs Boson ?
What is Higgs Field ?

Higgs boson leftover excitation
of particles of Higgs field
Neutron -1 up quark
2 down quarks

Video (Veratasium)

Excellent videos –Particles interact with Higgs field to create MASS

Video (RI)

Video (Ted Talk)

Video (Minute physics)
Nuclear reaction vs Chemical reaction
Chemical reaction

Nuclear reaction
•
•
•
•

•
•
•
•

Involve protons/neutrons in nucleus
Decomposition of nucleus into smaller nuclei
Energy released greater
Conservation of charge / atomic mass number

Involve outer most electrons
Transfer/sharing/loss of electrons
Energy released less
Conservation of mass and charge

Chemical equation – valence electrons

Nuclear equation- decay of nucleus

2Na + CI2  2NaCI
Transfer electrons

Sharing electrons

Type of radiation
Type
radiation

Nature
radiation

Symbol

Penetration
(mass,m/charge,e
)

Ionising
power
(removing
electron)

Alpha

Helium
nucleus

α

Low ratio
(high m/e)

High

Beta

High energy
electron

β

Moderate

Moderate

Gamma

High frequency
electromagnetic
radiation

γ

High ratio
(small m/e)

Low

http://ths.talawanda.net/~BrambleN/classroom/Chemistry/Notes/Section%206A%20and%206B/RadioactiveDecay.htm
http://www.classhelp.info/Biology/AUnit3Biochemistry.htm
Nuclear reaction

Alpha Decay

Unstable nucleus of atom

Decay by emitting ionizing particles

α

β

Alpha Decay
•Losing an alpha particle – helium nucleus
•Daughter nuclei lower in proton number
•Mass of 4 (2 proton + 2 neutron)
•+2 charged (only 2 protons) = +2
•Decay of uranium, thorium, actinium

Beta Decay

Beta Decay
•Losing beta particle –Electron/positron
•Daughter nuclei higher in proton number
•Negative charge (-1)
•Decay neutron  proton + electron

Gamma Decay
Gamma decay
•Losing a γ particle - electromagnetic radiation of high
frequency
•Daughter nuclei no change in atomic mass

http://ths.talawanda.net/~BrambleN/classroom/Chemistry/Notes/Section%206A%20and%206B/RadioactiveDecay.htm
http://molaire1.perso.sfr.fr/e_radioactiv.html

+
Difference Between Alpha, Beta and Gamma Radiation

Nucleus > 84 protons
• Unstable, radioactive decay
• Decay depends on ratio neutron/proton

Mass number always Conserved/Same

Alpha Decay
•Lose alpha particle – helium nucleus
•Mass He- 4 (2 proton + 2 neutron)
•+2 charged (2 proton + 2 neutron + 0 e)
•Daughter nuclei lower in proton number

Decay depend on ratio neutron/proton
Neutron/proton ratio LOW – Proton rich
– Decay to reduce proton
- Alpha decay, α (proton number  )

Video on α decay

Beta Decay
•Lose beta particle –Electron/beta β
•Negative charge (-1)
•-1 charged (β or electron)
•Daughter nuclei higher in proton number

Decay depend on ratio neutron/proton
Neutron/proton ratio HIGH – Neutron rich
– Decay to reduce neutron
-Beta decay β ( Neutron  Proton + electron)
-Ratio decrease 
Video on β decay

Gamma decay
•Lose a γ particle – electromagnetic radiation of high
frequency
•Daughter nuclei no change in atomic mass

Decay depend on ratio neutron/proton
Neutron/proton ratio HIGH /LOW
-Gamma decay γ, is associated along
with Alpha and Beta

Video on γ decay
Isotopes
Unstable Isotopes

Stable Isotopes

Simulation isotope 1H, 2H, 3H

Simulation isotope 12C, 13C, 14C

Emit radiation form unstable isotope

Simulation half life C-14/uranuim

Unstable Isotopes – emits radiation

RADIOISOTOPES

Half-life

Radioisotopes
•Half-life – time taken for conc/amt isotope
to fall to half of its original value.
•Half life decay – always constant

Radioactive isotopes
Uranium 238

4.5 x 109

Carbon-14

5.7 x 103

Radium-226

1.6 x 103

Strontium-90

28 years

Iodine-131

8.1 days

Bismuth-214

19.7 minutes

Polonium-214

www.sciencelearn.org.nz

Half-life

1.5 x 10-4

Long half-life
More stable, decay slowly

Video on Half life

Shorter half-life
More unstable, decay fast
Carbon – 3 Isotopes

Carbon -12

Carbon -13

Abundance – 99% (Stable)

Radiocarbon/carbon dating

Carbon -14

Abundance – 1% (Stable)

Abundance – trace amt
(Unstable , radioactive)

How it is form?

• Half life C-14 = 5730 years
• Beta (β/electron ) decay

How is form?
• C-14 produce in stratosphere when…..
neutron hit a nitrogen atom to form C-14
•C-14 to N-14 by converting neutron  proton
(proton stay in nucleus), electron emit as β radiation
•

emit as β ray.
(proton in nucleus – increase proton number)
emit as β ray.

•Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant)
•Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant)
Uses
• Age dead organic material/fossil contain Carbon element
• Max age limit is 60,000 years old.

Conclusion
Ratio C14/C12 is constant is organism alive
Ratio C14/C12 drop  organism die
How Radiocarbon dating works?

Radiocarbon/carbon dating

Carbon -14
Abundance – trace amt
(Unstable , radioactive)
• Half life C-14 = 5730 years
• Beta (β/electron ) decay
Simulation C-14 (Half life)
At 100% (Starting)

Simulation C-14 (Half life)
At 50% (Starting)

How is form?
• C-14 produce in stratosphere when…..
neutron hit a nitrogen atom to form C-14
•C-14 to N-14 by converting neutron  proton
(proton stay in nucleus), electron emit as β radiation
•

emit as β ray.
(proton in nucleus – increase proton number)
emit as β ray.

Click to view simulation

•Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant)
•Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant)
Video on Radiocarbon dating

Video on C-14 Carbon Dating

Video on C-14 Carbon Dating/Fossil

Video on C-14 Half life Carbon Dating
Uses of radioactive isotopes
Radiocarbon/carbon dating
Carbon -14

Beta (β/electron) decay
Carbon dating
Age of fossil remains

• Half life C-14 = 5730 years

How Radiocarbon dating works?

Radiotherapy/cancer/tumour

Tracers/studying metabolic pathways

Cobalt-60

Iodine-131

Gamma γ + β decay

Gamma γ + β decay
Sterilization – killing bacteria/germ
Radiotherapy – kill tumor cells
High energy electromagnetic ray

•
•
•

Radio tracer
Trace the pathway in body
Beta β (90%) and γ (10%) decay

• Half life Co-60 = 5.27 years

• Half life I-131 = 8 days

How Gamma rays works?

How Radio tracer works?

Video on Radiocarbon dating
Video on C-14 Carbon Dating

Video on Radiotherapy

Video on Radio tracer
Atomic /Mass number

No isotopes are present
Proton number = proton

Mass number = proton + neutron

Z

A

6 protons

6 protons + 6 neutrons
8 protons

8 protons + 8 neutrons

Atomic Weight

With isotopes present
Proton number = proton

Z

Mean relative mass (atomic weight)

A

Video on weighted average
Relative Atomic Mass

No isotopes are present

Relative Atomic Mass is used :
• Impossible to weigh an atom in grams
• Compare how heavy one atom is to carbon (standard)
• One sulphur atom 32x heavier than 1/12 carbon -12
• Carbon -12 used as standard

Proton number = proton

Z

A

Mass number = proton + neutron

Mass number ≠ Average atomic mass
(atomic mass unit)

Relative Atomic Mass, (Ar) of an element:

• Number of times one atom of the element is heavier than one twelfth of the mass of a carbon-12
• Relative atomic mass = Mass of one atom of element
1/12 x mass of one carbon-12
• Relative atomic mass for sulphur = 32 (one sulphur atom is 32 x heavier than 1/12 of mass of one (C12)

6

Carbon-12 as standard
1/12 of C12 = 1 unit
6 protons + 6 neutrons

1/12 x

1 unit

=

12

16

16 protons + 16 neutrons

32 unit

32
Sulphur – 32x heavier

Assuming No isotopes present!

http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php
Relative Molecular Mass

No isotopes are present

Relative Molecular Mass is used :
• Impossible to weigh an molecules in grams
• Compare one molecule to carbon (standard)
• One H2O is 18 x heavier than 1/12 carbon -12
• Carbon -12 is used as standard
Mass number ≠ Average atomic weight
(atomic mass unit)

Proton number = proton

Z

A

Mass number = proton + neutron

Relative Molecular Mass, (Mr):

• Number of times one molecule is heavier than one twelfth of the mass of a carbon-12
• Relative molecular mass = Mass of one molecule
1/12 x mass of one carbon-12
• Relative molecular mass for H2O= 18 (one H2O is 18 x heavier than 1/12 of mass of one (C12)

Carbon-12 as standard
1/12 of C12 = 1 unit
6 protons + 6 neutrons

1/12 x

1 unit

=

8 protons + 8 neutrons

16 unit

2 protons

+ 2 unit
18 unit

H2O – 18x heavier

Assuming No isotopes present!
http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php
Relative Isotopic Mass

Proton number = proton

Mass number = proton + neutron

Presence of isotopes

Z

A

Z = 29 protons

A

Z

A= 29 protons + 35 neutrons = 64

Isotopes – Atoms of same element with
• Different number of neutrons
• Same number of protons and electrons
Due to presence of isotopes, when calculating RAM,
weighted average/mean of all isotopes present is used .

Isotopes

X - No isotopes

Y - TWO isotopes
3

CI - TWO isotopes

11

Relative Abundance

RAM/Ar X = 11

• Mass of 1 atom X
Mass of 1/12 of 12C
• Mass of 1 atom X relative to
1/12 mass of 1 atom 12C

17

17

35

37

Relative Abundance

75%

25%

RAM /Ar, CI = 35.5
• Weighted average mass of 2 isotopes present
= (mass 35CI x % Abundance) + (mass 37CI x % Abundance)
= (35 x 75/100) + (37 x 25/100)
= 35.5

3

10

3

11
50%

50%

RAM/Ar Y = 10.5
• Average Mass of 1 atom Y
Mass of 1/12 of 12C
• Average mass of 1 atom Y relative to
1/12 mass of 1 atom 12C
Relative Atomic Mass

Isotopes are present

Why RAM is not a whole number?

12
Relative Abundance

98.9%

13
1.07%

RAM = 12.01
Weighted average mass- due to presence of isotopes

Relative Isotopic Mass, (Ar) of an element:
•Relative isotopic mass = Average mass of one atom of element
1/12 x mass of one carbon-12
• Relative isotopic mass, carbon = 12.01

RAM, C :
= (Mass 12C x % Abundance) + (Mass 13C x % Abundance)
= (12 x 98.9/100) + (13 x 1.07/100) = 12.01

Video on Isotopes

Video on weighted average

Video on Isotopes

http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php

RAM calculation

Weighted average calculation
Relative Atomic Mass
Mg - 3 Isotopes

Relative Abundance

% Abundance
Convert relative abundance to % abundance
24 Mg

– (100/127.2) x 100% - 78.6%
Mg – (12.8/127.2) x 100% - 10.0%
26 Mg – (14.4/127.2) x 100% - 11.3%
25

RAM for Mg :
= (Mass 24Mg x % Abundance) + (Mass 25Mg x % Abundance) + (Mass 26Mg x % Abundance)
= (24 x 78.6/100) + (25 x 10.0/100) + (26 x 11.3/100) = 24.30

Pb - 4 Isotopes

Relative Abundance

% Abundance

Convert relative abundance to % abundance
204Pb

– (0.2/10) x 100% - 2%
– (2.4/10) x 100% - 24%
207Pb – (2.2/10) x 100% - 22%
208Pb – (5.2/10) x 100% - 52%
206Pb

RAM for Pb :
= (Mass 204Pb x % Abundance) + (Mass 206Pb x % Abundance) + (Mass 207Pb x % Abundance) + (Mass 208Pb x % Abundance)
= (204 x 2/100) + (206 x 24/100) + (207 x 22/100) + (208 x 52/100) = 207.20
Additional Resources
Periodic Table from webelement

Video on isotopes using mass spec

Simulation C-14 dating (Half life)

Excellent Video Higgs Field (Ted Talk)

Video on Particle Physics (Higgs Field)

Simulation U-238 dating (Half life)

Excellent Video on scale of universe

Video on new particles physics

Simulation on atomic model

Simulation isotope 1H, 2H, 3H
and 12C, 13C, 14C

IB Chemistry on Atomic Structure, Particle Physics and Relative Atomic Mass

  • 1.
    Atomic Structure Unit conversion AtomicSize radius •Order of magnitude – (10-10 – 10-12)m •Radius Li atom – (1.5 x 10-10)m •Radius nucleus – (1 x 10-14)m Radius Li atom Radius Nucleus Li atom Nucleon –made up of (protons + neutrons) Protons – made up of 2 up quarks + 1 down quark Neutron – made up of 2 down quarks + 1 up quark 1nm – 1 x 10-9 m 1pm – 1 x 10-12 m 1A - 1 x 10-10 m Elementary particles making up nucleon (protons + neutrons) Recent discovery particles with help of Large Hadron Collider Structure within atom Video on new particles physics http://astronomyonline.org/ViewImage.asp?Cate=Home&SubCate=MP01&SubCate2=&Img=%2FScience%2FImages%2FAtomicStructure.jpg&C pt
  • 2.
    Discovery timeline Democritusto Quantum model Discovery of elementary particles Elementary particles Video on timeline discovery Structure within atom Recent discovery particles from Large Hadron Collider Discovery of Higgs boson and Higgs field Particles interact with Higgs field to produce mass Higgs boson leftover excitation of particles of Higgs field Video on new particles physics Higgs Boson Discovery Wins Nobel Prize for Physics Video on Higgs field part 1 Video on Higgs field part 2 Video on NOBEL PRIZE 2013 !!!!!!
  • 3.
    Atomic Structure Unit conversion AtomicSize radius •Order of magnitude – (10-10 – 10-12)m •Radius Li atom – (1.5 x 10-10)m •Radius nucleus – (1 x 10-14)m Radius Li atom Radius Nucleus Li atom Nucleon –made up of (protons + neutrons) Protons – made up of 2 up quarks + 1 down quark Neutron – made up of 2 down quarks + 1 up quark 1nm – 1 x 10-9 m 1pm – 1 x 10-12 m 1A - 1 x 10-10 m Elementary particles making up nucleon (protons + neutrons) Scale/size of matter from smallest to largest Excellent Flash on scale of universe Excellent Flash on biological cells Video on scale of universe
  • 4.
    Elementary particles Structure withinatom Recent discovery particles from Large Hadron Collider Particles interact with Higgs field to produce mass Discovery of Higgs boson and Higgs field Mass (proton + neutron)- due to interaction between up quarks/down quarks with gluons (energy fluatutions) Proton -2 up quarks 1 down quark Video on Higgs field What is Higgs Boson ? What is Higgs Field ? Higgs boson leftover excitation of particles of Higgs field Neutron -1 up quark 2 down quarks Video (Veratasium) Excellent videos –Particles interact with Higgs field to create MASS Video (RI) Video (Ted Talk) Video (Minute physics)
  • 5.
    Nuclear reaction vsChemical reaction Chemical reaction Nuclear reaction • • • • • • • • Involve protons/neutrons in nucleus Decomposition of nucleus into smaller nuclei Energy released greater Conservation of charge / atomic mass number Involve outer most electrons Transfer/sharing/loss of electrons Energy released less Conservation of mass and charge Chemical equation – valence electrons Nuclear equation- decay of nucleus 2Na + CI2  2NaCI Transfer electrons Sharing electrons Type of radiation Type radiation Nature radiation Symbol Penetration (mass,m/charge,e ) Ionising power (removing electron) Alpha Helium nucleus α Low ratio (high m/e) High Beta High energy electron β Moderate Moderate Gamma High frequency electromagnetic radiation γ High ratio (small m/e) Low http://ths.talawanda.net/~BrambleN/classroom/Chemistry/Notes/Section%206A%20and%206B/RadioactiveDecay.htm http://www.classhelp.info/Biology/AUnit3Biochemistry.htm
  • 6.
    Nuclear reaction Alpha Decay Unstablenucleus of atom Decay by emitting ionizing particles α β Alpha Decay •Losing an alpha particle – helium nucleus •Daughter nuclei lower in proton number •Mass of 4 (2 proton + 2 neutron) •+2 charged (only 2 protons) = +2 •Decay of uranium, thorium, actinium Beta Decay Beta Decay •Losing beta particle –Electron/positron •Daughter nuclei higher in proton number •Negative charge (-1) •Decay neutron  proton + electron Gamma Decay Gamma decay •Losing a γ particle - electromagnetic radiation of high frequency •Daughter nuclei no change in atomic mass http://ths.talawanda.net/~BrambleN/classroom/Chemistry/Notes/Section%206A%20and%206B/RadioactiveDecay.htm http://molaire1.perso.sfr.fr/e_radioactiv.html +
  • 7.
    Difference Between Alpha,Beta and Gamma Radiation Nucleus > 84 protons • Unstable, radioactive decay • Decay depends on ratio neutron/proton Mass number always Conserved/Same Alpha Decay •Lose alpha particle – helium nucleus •Mass He- 4 (2 proton + 2 neutron) •+2 charged (2 proton + 2 neutron + 0 e) •Daughter nuclei lower in proton number Decay depend on ratio neutron/proton Neutron/proton ratio LOW – Proton rich – Decay to reduce proton - Alpha decay, α (proton number  ) Video on α decay Beta Decay •Lose beta particle –Electron/beta β •Negative charge (-1) •-1 charged (β or electron) •Daughter nuclei higher in proton number Decay depend on ratio neutron/proton Neutron/proton ratio HIGH – Neutron rich – Decay to reduce neutron -Beta decay β ( Neutron  Proton + electron) -Ratio decrease  Video on β decay Gamma decay •Lose a γ particle – electromagnetic radiation of high frequency •Daughter nuclei no change in atomic mass Decay depend on ratio neutron/proton Neutron/proton ratio HIGH /LOW -Gamma decay γ, is associated along with Alpha and Beta Video on γ decay
  • 8.
    Isotopes Unstable Isotopes Stable Isotopes Simulationisotope 1H, 2H, 3H Simulation isotope 12C, 13C, 14C Emit radiation form unstable isotope Simulation half life C-14/uranuim Unstable Isotopes – emits radiation  RADIOISOTOPES Half-life Radioisotopes •Half-life – time taken for conc/amt isotope to fall to half of its original value. •Half life decay – always constant Radioactive isotopes Uranium 238 4.5 x 109 Carbon-14 5.7 x 103 Radium-226 1.6 x 103 Strontium-90 28 years Iodine-131 8.1 days Bismuth-214 19.7 minutes Polonium-214 www.sciencelearn.org.nz Half-life 1.5 x 10-4 Long half-life More stable, decay slowly Video on Half life Shorter half-life More unstable, decay fast
  • 9.
    Carbon – 3Isotopes Carbon -12 Carbon -13 Abundance – 99% (Stable) Radiocarbon/carbon dating Carbon -14 Abundance – 1% (Stable) Abundance – trace amt (Unstable , radioactive) How it is form? • Half life C-14 = 5730 years • Beta (β/electron ) decay How is form? • C-14 produce in stratosphere when….. neutron hit a nitrogen atom to form C-14 •C-14 to N-14 by converting neutron  proton (proton stay in nucleus), electron emit as β radiation • emit as β ray. (proton in nucleus – increase proton number) emit as β ray. •Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant) •Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant) Uses • Age dead organic material/fossil contain Carbon element • Max age limit is 60,000 years old. Conclusion Ratio C14/C12 is constant is organism alive Ratio C14/C12 drop  organism die
  • 10.
    How Radiocarbon datingworks? Radiocarbon/carbon dating Carbon -14 Abundance – trace amt (Unstable , radioactive) • Half life C-14 = 5730 years • Beta (β/electron ) decay Simulation C-14 (Half life) At 100% (Starting) Simulation C-14 (Half life) At 50% (Starting) How is form? • C-14 produce in stratosphere when….. neutron hit a nitrogen atom to form C-14 •C-14 to N-14 by converting neutron  proton (proton stay in nucleus), electron emit as β radiation • emit as β ray. (proton in nucleus – increase proton number) emit as β ray. Click to view simulation •Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant) •Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant) Video on Radiocarbon dating Video on C-14 Carbon Dating Video on C-14 Carbon Dating/Fossil Video on C-14 Half life Carbon Dating
  • 11.
    Uses of radioactiveisotopes Radiocarbon/carbon dating Carbon -14 Beta (β/electron) decay Carbon dating Age of fossil remains • Half life C-14 = 5730 years How Radiocarbon dating works? Radiotherapy/cancer/tumour Tracers/studying metabolic pathways Cobalt-60 Iodine-131 Gamma γ + β decay Gamma γ + β decay Sterilization – killing bacteria/germ Radiotherapy – kill tumor cells High energy electromagnetic ray • • • Radio tracer Trace the pathway in body Beta β (90%) and γ (10%) decay • Half life Co-60 = 5.27 years • Half life I-131 = 8 days How Gamma rays works? How Radio tracer works? Video on Radiocarbon dating Video on C-14 Carbon Dating Video on Radiotherapy Video on Radio tracer
  • 12.
    Atomic /Mass number Noisotopes are present Proton number = proton Mass number = proton + neutron Z A 6 protons 6 protons + 6 neutrons 8 protons 8 protons + 8 neutrons Atomic Weight With isotopes present Proton number = proton Z Mean relative mass (atomic weight) A Video on weighted average
  • 13.
    Relative Atomic Mass Noisotopes are present Relative Atomic Mass is used : • Impossible to weigh an atom in grams • Compare how heavy one atom is to carbon (standard) • One sulphur atom 32x heavier than 1/12 carbon -12 • Carbon -12 used as standard Proton number = proton Z A Mass number = proton + neutron Mass number ≠ Average atomic mass (atomic mass unit) Relative Atomic Mass, (Ar) of an element: • Number of times one atom of the element is heavier than one twelfth of the mass of a carbon-12 • Relative atomic mass = Mass of one atom of element 1/12 x mass of one carbon-12 • Relative atomic mass for sulphur = 32 (one sulphur atom is 32 x heavier than 1/12 of mass of one (C12) 6 Carbon-12 as standard 1/12 of C12 = 1 unit 6 protons + 6 neutrons 1/12 x 1 unit = 12 16 16 protons + 16 neutrons 32 unit 32 Sulphur – 32x heavier Assuming No isotopes present! http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php
  • 14.
    Relative Molecular Mass Noisotopes are present Relative Molecular Mass is used : • Impossible to weigh an molecules in grams • Compare one molecule to carbon (standard) • One H2O is 18 x heavier than 1/12 carbon -12 • Carbon -12 is used as standard Mass number ≠ Average atomic weight (atomic mass unit) Proton number = proton Z A Mass number = proton + neutron Relative Molecular Mass, (Mr): • Number of times one molecule is heavier than one twelfth of the mass of a carbon-12 • Relative molecular mass = Mass of one molecule 1/12 x mass of one carbon-12 • Relative molecular mass for H2O= 18 (one H2O is 18 x heavier than 1/12 of mass of one (C12) Carbon-12 as standard 1/12 of C12 = 1 unit 6 protons + 6 neutrons 1/12 x 1 unit = 8 protons + 8 neutrons 16 unit 2 protons + 2 unit 18 unit H2O – 18x heavier Assuming No isotopes present! http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php
  • 15.
    Relative Isotopic Mass Protonnumber = proton Mass number = proton + neutron Presence of isotopes Z A Z = 29 protons A Z A= 29 protons + 35 neutrons = 64 Isotopes – Atoms of same element with • Different number of neutrons • Same number of protons and electrons Due to presence of isotopes, when calculating RAM, weighted average/mean of all isotopes present is used . Isotopes X - No isotopes Y - TWO isotopes 3 CI - TWO isotopes 11 Relative Abundance RAM/Ar X = 11 • Mass of 1 atom X Mass of 1/12 of 12C • Mass of 1 atom X relative to 1/12 mass of 1 atom 12C 17 17 35 37 Relative Abundance 75% 25% RAM /Ar, CI = 35.5 • Weighted average mass of 2 isotopes present = (mass 35CI x % Abundance) + (mass 37CI x % Abundance) = (35 x 75/100) + (37 x 25/100) = 35.5 3 10 3 11 50% 50% RAM/Ar Y = 10.5 • Average Mass of 1 atom Y Mass of 1/12 of 12C • Average mass of 1 atom Y relative to 1/12 mass of 1 atom 12C
  • 16.
    Relative Atomic Mass Isotopesare present Why RAM is not a whole number? 12 Relative Abundance 98.9% 13 1.07% RAM = 12.01 Weighted average mass- due to presence of isotopes Relative Isotopic Mass, (Ar) of an element: •Relative isotopic mass = Average mass of one atom of element 1/12 x mass of one carbon-12 • Relative isotopic mass, carbon = 12.01 RAM, C : = (Mass 12C x % Abundance) + (Mass 13C x % Abundance) = (12 x 98.9/100) + (13 x 1.07/100) = 12.01 Video on Isotopes Video on weighted average Video on Isotopes http://www.tutorvista.com/content/science/science-i/atoms-molecules/atom.php RAM calculation Weighted average calculation
  • 17.
    Relative Atomic Mass Mg- 3 Isotopes Relative Abundance % Abundance Convert relative abundance to % abundance 24 Mg – (100/127.2) x 100% - 78.6% Mg – (12.8/127.2) x 100% - 10.0% 26 Mg – (14.4/127.2) x 100% - 11.3% 25 RAM for Mg : = (Mass 24Mg x % Abundance) + (Mass 25Mg x % Abundance) + (Mass 26Mg x % Abundance) = (24 x 78.6/100) + (25 x 10.0/100) + (26 x 11.3/100) = 24.30 Pb - 4 Isotopes Relative Abundance % Abundance Convert relative abundance to % abundance 204Pb – (0.2/10) x 100% - 2% – (2.4/10) x 100% - 24% 207Pb – (2.2/10) x 100% - 22% 208Pb – (5.2/10) x 100% - 52% 206Pb RAM for Pb : = (Mass 204Pb x % Abundance) + (Mass 206Pb x % Abundance) + (Mass 207Pb x % Abundance) + (Mass 208Pb x % Abundance) = (204 x 2/100) + (206 x 24/100) + (207 x 22/100) + (208 x 52/100) = 207.20
  • 18.
    Additional Resources Periodic Tablefrom webelement Video on isotopes using mass spec Simulation C-14 dating (Half life) Excellent Video Higgs Field (Ted Talk) Video on Particle Physics (Higgs Field) Simulation U-238 dating (Half life) Excellent Video on scale of universe Video on new particles physics Simulation on atomic model Simulation isotope 1H, 2H, 3H and 12C, 13C, 14C