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    Term 1_1 Notes: Periodic Table, Atomic Structure

     Name: _______________________ ( ) Class: 2 ___ Date: _________

    Atomic s tru ctu re

    What is an atom?

    An atom is the smallest unit of an element, having the properties of that element.

    Are there particles smaller than the atom?

    Atoms are not like solid balls (Figure 1) as proposed by Dalton in 1803.

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    The key points about atomic structure are summarised below:

    Thinking Time!

    Why is the term "relative mass" used in the Table 1 rather than just mass?

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    Advanced: For elements after calcium in the 4th period, their third shell can hold up to 18electrons.

    Some interesting facts...

    •  The nucleus takes up less than 1% of the volume of a nucleus.•  More than 99% of an atom is empty space occupied by rapid moving electrons.

    Protons, neutrons and electrons are the building blocks for all atoms. Hydrogen atoms are thesimplest atoms. Each hydrogen atom has only one proton and one electron. The next

    simplest atoms are those of helium with two protons, two electrons and two neutrons. Afterhelium comes lithium, with three protons, three electrons and four neutrons.

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    Atomic number and mass number

    The only atoms with one proton are those of hydrogen. The only atoms with two protons arethose of helium. The only atoms with three protons are those of lithium and so on.

    This shows that the number of protons in an atom decides which element it is. Because ofthis, the number of protons in an atom is called its atomic number or proton number. Thus,hydrogen has an atomic number of one, helium has an atomic number of two, lithium three,and so on. Remember also that the order of the element in the periodic table tells you itsatomic number. So, chlorine, the seventeenth element in the periodic table with 17 protons

    and 17 electrons has an atomic number of 17.

    The mass of the electrons in an atom is negligible compared to that of the protons andneutrons. In fact, the mass of an atom depends on the number of protons and neutrons addedtogether. This number is called the mass number or nucleon number of the atom.

    So,

    atomic number = number of protons

    mass number = number of protons + 

    number of neutrons

    So, aluminium atoms, with 13 protons and 14 neutrons, have an atomic number of 13 and a massnumber of 27. Sometimes the symbol Z is used for atomic number and the symbol A for mass

    b S f l i i Z 13 d A 27

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    Thinking Time!

    An atom can be described as an electrically neutral entity made up of a positively chargednucleus at its centre with negatively charged electrons moving around the nucleus.

    (a) Why is the atom electrically neutral?

    (b) Why is the nucleus positively charged?

    Isotopes and Relative Atomic Mass

    Several elements have relative atomic masses which are whole numbers. For example, therelative atomic mass of carbon is 12.0, that of fluorine is 19.0 and that of sodium is 23.0. Thisis not surprising, as the mass of an atom depends on the mass of its protons and neutrons, both ofwhich have a relative mass of 1.0. For example, we could calculate the relative mass of

    fl i f ll

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    Each isotope has a relative atomic mass which is a whole number, but the average relative atomicmass for the mixture of isotopes is not always a whole number.

    Chlorine is a good example of an element with isotopes. Naturally occurring chlorine contains twoisotopes 3517

     C1 called chlorine-35 and 3717 C1 called chlorine-37. Each of these isotopes has 17 protons

    and 17 electrons. Therefore, both isotopes have the same atomic number and the same chemical properties because these are determined by the number of electrons.

    However, one isotope (3517 C1 ) has 18 neutrons and the other (3717

     C1) has 20 neutrons. Therefore,

    they have different mass numbers, different masses and hencedifferent physical properties

     becausethese depend on the masses of atoms and molecules.

    The similarities and differences between isotopes of the same element are summarised in the table below.

    The similarities and differences between isotopes of the same element  

    I t b di id d i t t t O t i di ti th th i di ti

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    Radioactive isotopes produce heat which can beused to produce electrical energy. Small amounts

    of radioactive isotopes are used to supply energyin remote places. Radioactive isotopes provideenergy for spacecraft exploring the outer planets,such as Jupiter and Saturn.

    Some people have irregular heartbeats. They needto have a heart pacemaker implanted inside theirchest. This instrument provides a tiny electricalshock to ensure a steady heartbeat. Pacemakerscan be powered by radioactive isotopes. Such a

     pacemaker can work reliably for over 20 years. Anordinary battery would have to be replaced every10 years.

    Nuclear Energy (Optional)

    Radioactive isotopes are used to produce large amounts of energy iinuclear fission. This is done in acontrolled way in a nuclei reactor.The fuel is an isotope of uranium,

    i 235 I th t th

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    Calculating relative atomic masses (Optional)

    The relative atomic mass of an element is the average mass of one atom. This can becalculated from the relative masses of its isotopes and their relative proportions.

    Look closely at the figure below which shows a mass spectrometer trace for chlorine. The traceshows that chlorine contains two isotopes, with mass numbers of 35 and 37.

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    Electronic Structure & Electronic Configuration

     Nitrogen-14 atom has 7 electrons. Two of its electrons will go into the 1st  shell; theremaining electrons will go into the 2nd   shell (Figure 2). With 7 electrons, nitrogen has theelectronic configuration of 2.5 

    Argon-40 atom has 18 electrons. Two of its electrons will go into the 1st shell, 8 electronswill go into the 2nd  shell, and the remaining 8 electrons will go into the 3rd  shell (Figure 3).With 18 electrons, argon has the electronic configuration of 2.8.8 

    Figure 2: Electronic Structure (FullElectronic Configuration) of Nitrogen-14atom

    Figure 3: Electronic Structure (FullElectronic Configuration) of Argon-40atom

    (b) Valence Shell (Outer Shell)

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    (a) Formation of cations

    When an atom loses one or more electrons, it becomes a positively charged particle calledcation.

    Lithium atom (Li)3 electrons3 protons

     Net charge: 0

    Lithium ion (Li+)2 electrons3 protons

     Net charge: +1

    In a lithium atom, there are 3 protons and 3 electrons. In a lithium ion, there are 3 protonsand 2 electrons. Therefore, the lithium ion carries an overall positive charge of 1+ and iswritten as Li+.

    (b) Formation of anions

    When an atom gains one or more electrons, it becomes a negatively charged particle calledanion.

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    The Periodic Table 

    During the 19th century, several chemists looked for patterns in the properties of elements. Themost successful of these approaches was by the Russian chemist Dmitri Mendeleev in 1869.

    •  Mendeleev arranged all the known elements in order of their relative atomic masses.

    •  He also arranged the elements in horizontal rows so that elements with similar propertieswere in the same vertical column.

    Because of the  periodic repetition of elements with similar properties, Mendeleev called his

    arrangement a periodic table.

    The figure below shows part of Mendeleev's periodic table. Notice that elements with similar

     properties, such as sodium and potassium, fall in the same vertical column. Which other pairs or

    trios of similar elements appear in the same vertical column of Mendeleev’s table?

     In the periodic table

    •  The vertical

    columns

    of similar elements

    are called groups.

    •  The horizontal rows

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     Period  - a horizontal row of elements

    (a) Group

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    Element Proton

    number

    Number of electrons in Electronic

    configuration

    Period Group 

    1st shell

    2n  shell

    3r  shell

    4t  shell 

    H 1 1 1 1 -

    He 2 2 2 1 0

    Li 3 2 1 2.1 2 I

    Be 4 2 2 2.2 2 II

    B 5 2 3 2.3 2 III

    C 6 2 4 2.4 2 IV N 7 2 5 2.5 2 V

    O 8 2 6 2.6 2 VI

    F 9 2 7 2.7 2 VII

     Ne 10 2 8 2.8 2 0

     Na 11 2 8 1 2.8.1 3 I

    Mg 12 2 8 2 2.8.2 3 II

    Al 13 2 8 3 2.8.3 3 III

    Si 14 2 8 4 2.8.4 3 IV

    P 15 2 8 5 2.8.5 3 V

    S 16 2 8 6 2.8.6 3 VI

    Cl 17 2 8 7 2.8.7 3 VII

    Ar 18 2 8 8 2.8.8 3 0

    K 19 2 8 8 1 2.8.8.1 4 I

    Ca 20 2 8 8 2 2.8.8.2 4 II

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    They conduct electricity better than non-metals but not as well as metals. Elements with some

     properties like metals and other properties like non-metals are called metalloids. Because of this

    difficulty in classifying elements neatly as metals and non-metals, chemists looked for patternsin the properties and reactions of smaller groups of elements.

    The modern periodic table

    The modern periodic table, shown over the next page, is based on Mendeleev's. It shows all theknown elements numbered along each period, starting with period 1, then period 2, etc. The number

    given to each element is called its atomic number. Thus, hydrogen has an atomic number of 1,helium 2, lithium 3, etc.

    The periodic table shows all the elements arranged in order of increasing atomic number.

    (i) Electronic Structure

    Down each group, the number of valence electrons is the same for each element and is equalto the group number.

    Example: Group I Elements 

    Element Electronic configuration

    Li 2.1

    N 2 8 1

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    (ii) Metals and non-metals

    Across the period, the properties of elements change from metallic to non-metallic.

    Generally, elements with small number of electrons in the valence shell (e.g. Group I and II)are metals. Elements with large number of electrons in the valence shell (e.g. Group VII and0) are non-metals.

    The line that divides metals from non-metals runs run diagonally through the Periodic Table.Elements found beside this dividing line (zigzag line) are known as metalloids. Metalloidshave some properties of non-metals and metals.

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    Electron structure and chemical bonding

    We have previously looked at the first twenty elements in the periodic table.

    When elements react we now know that they try to gain, lose or share electrons in order

    to get a more stable electron structure. In many cases, this more stable electron

    structure is the same as that of a noble gas.

    When elements react we now know that they try to gain, lose or share electrons in order toget a more stable electron structure. In many cases, this more stable electron structure is thesame as that of a noble gas.

    The simple ideas expressed in this statement form the basis of the electronic theory ofchemical bonding.

    Look carefully at the table below. This shows the electron structures of the atoms and ions ofelements in period 3.

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    Why do atoms bond?

     Noble gases, such as helium, neon and argon, are monoatomic because their valence shellsare fully occupied by electrons. Thus, noble gases are stable and do not undergo bondingwith other atoms.

    Since atoms with electronic configurations of noble gases are stable, atoms bond to achieveelectronic configuration of a noble gas. Atoms do so by transfer or sharing of electronswith other atoms.

    By having an electronic configuration of a noble gas, an atom will achieve stability.

    - When you have 2 electrons in the 1st shell, you have a duplet structure.- When you have 8 electrons in the rest of the shells, you have an octet structure.

    Chemical bonds

    There are three ways of forming chemical bonds between atoms:(i) Ionic bonding(ii) Covalent bonding(iii) Metallic bonding (to be covered in Sec. 3)

    i. Ionic bonding

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    In a chlorine atom, there are 17 protons and 17 electrons. In a chloride ion, there are 17 protons and 18 electrons. Therefore, the chloride ion carries an overall positive charge of 1-

    and is written as Cl-

    .

    Figure 5: Formation of Sodium Chloride

    In figure 6, the magnesium atom gives up two electrons to form a magnesium ion, Mg 2+.These two electrons are transferred to two chlorine atoms to form two chloride ions, Cl-. Themagnesium chloride has the formula MgCl2.

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    (b) ‘Dot-and-cross’ diagrams of ionic compounds

    Steps:1. Draw the valence electrons of the elements using ‘Dot and Cross’ only.2. Electron(s) is/are transferred from the valence shell of the metal to the valence shell of

    the non-metal.3. The anion that has gained electron(s) from the cation will now have two type of

    electrons – one originally from its valence shell, another one from the cation –differentiated by ‘dots’ and ‘crosses’.

    4. Remember to indicate the charges of the ions.

    Examples of ‘Dot-and-cross’ diagram can be found in figure 7 and 8.

    Figure 7: ‘Dot-and-cross’ diagram showing the bonding in sodium chloride

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    (a) Covalent bonds in elements

    Hydrogen molecules, H2 

    A hydrogen atom has 1 valence electron. It requires one more electron to obtain theelectronic configuration of a noble gas.

    In order to obtain the electronic configuration of helium, two hydrogen atoms can share a pairof electrons between themselves to form hydrogen molecules, H2 (figure 5). In order todifferentiate the two electrons, the electron of one atom is represented by a ‘cross’ while theother electron of another atom is represented by a ‘dot’.

    Formation of hydrogen molecule

    Oxygen molecules, O2 

    In order to obtain the electronic configuration of a noble gas, each oxygen atom requires twomore electrons. Instead of sharing a pair of electrons, two oxygen atoms can share two pairsof electrons to form a double bond and obtain an octet structure.

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    (b) Covalent bonds in compounds

    Methane molecule, CH4 

    The carbon atom has four valence electrons and it needs four more electrons to gain an octetstructure. The carbon atom can share its four electrons with four other hydrogen atoms,forming a single covalent bond with each of the hydrogen atom.

    Formation of methane molecule (showing of electrons in the outer shells only)

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    Structure and Properties

    Look at the crystals of sodium chloride in this photograph. What do you notice about all the saltcrystals?

    All the salt crystals are roughly the same cubicshape. Further studies show that all the crystals ofone substance have similar shapes. This suggests

    that the particles in the crystals are always packedin a regular fashion to give the same overall shape.Sometimes, crystals grow unevenly and theirshapes become distorted. Even so, it is usually easyto see their general shape. Solid substances whichhave a regular packing of particles are described ascrystalline. The particles may be atoms, ions ormolecules.

    The figure below shows how cubic crystals and hexagonal crystals can form. If the particlesare always placed in parallel lines or at 90o  to each other, the crystal will be cubic. If the

     particles are placed at 120° in the shape of a hexagon, the final crystal will be hexagonal.

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    Using X-rays to study crystals (Optional)

    Look through a piece of thin stretched cloth at a small bright light. The pattern you see is dueto the deflection of the light as it passes through the regularly spaced threads of the fabric.This deflection of the light is called diffraction  and the patterns produced are diffractionpatterns. If the cloth is stretched so that the threads in the fabric get closer, then the patternspreads further out. From the diffraction pattern which we can see, we can work out the

     pattern of the threads in the fabric which we cannot see. The same idea is used to work outhow the particles are arranged in a crystal.

    A narrow beam of X-rays is directed at a well-formed crystal. Some of the X-rays are diffracted

     by particles in the crystal onto X-ray sensitivefilm. When the film is developed, a regular

     pattern of spots appears. This is the diffraction pattern for the crystal. From the diffraction pattern which we can see, it is possible to work

    out the pattern of particles in the crystal which wecannot see. A regular arrangement of spots on thefilm indicates a regular arrangement of particlesin the crystal. This regular arrangement of

     particles in the crystal is called a lattice.

    X-rays have been used in this way to study the structure of thousands of different solids.Beams of electrons can also be used, like X-rays, to study the way in which particles are

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    Notice that the structure and bonding of a substance determine its properties and, in

    turn, the properties determine its uses.

    So the links from structure and bonding to properties help us to explain the uses of materials -why metals are used as conductors, why graphite is used in pencils and why clay is used tomake bricks.

    Earlier, you have learnt that all substances are made up from only three different types ofparticle - atoms, ions, and molecules.

    These three particles give rise to four different solid structures.

    •  giant metallic structures,

    •  giant covalent structures,

    •  giant ionic structures, and

    •  simple molecular structures.

    The table below shows the particles in these four structures, the types of substances formedand examples of these substances.

    The four types of solid structure and the particles they contain

    Types of

    structure

    Particles in the

    structure

    Types of substance Examples

    Giantmetallic

    atoms Metals and alloys(mixture of metals)

     Na, Fe, Cu, steel, brass

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    X-ray analysis shows that the atoms in metal grains - packed in a regular fashion, but thegrains themselves are irregular-shaped crystals pushed tightly together.

    Metals usually have a high density. This suggests that the atoms are packed close together. Infact, X-ray studies show that the atoms of most metals are packed as close together as

     possible. This arrangement is close packing. The figure above shows a few atoms in layer ofa metal crystal.

     Notice that each atom in the middle of thecrystal touches six other atoms in the samelayer. When a second layer is placed on top ofthe first layer, atoms in the second layer sinkinto the dips between atoms in the first layer.This means that any one atom in the first layercan touch six atoms in its own layer, threeatoms in the layer above it and three atoms in

    the layer below, i.e. a total of twelve atoms inall.

    The properties of metals

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    •  Good conductivity  - When a metal isconnected in a circuit, freely moving electrons

    in the metal move towards the positiveterminal. At the same time, electrons move intothe other end of the wire from the negativeterminal. This flow of electrons through thewire forms the electric current.

    •  Malleability  - The bonds between atoms in ametal are strong but they are not rigid. When aforce is applied to a metal crystal, the layers ofatoms can `slide' over each other. This isknown as slip. After slipping, the atoms settleinto position again and the close-packedstructure is restored.

    This diagram shows the positionsof atoms before and after slip.This is what happens when ametal is bent or hammered intodifferent shapes.

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    diamond is a single giant molecule or a macromolecule. Only a small number of atoms areshown in the model. In a real diamond, there are billions of atoms.

    The properties of diamond

    •  Diamond is very hard  because its carbon atoms are linked by very strong covalent bonds. Another reason for its hardness is that the atoms are not arranged in layers so theycannot slide over one another like the atoms in metals. In fact, diamond is the hardestknown natural substance. Most of its industrial uses depend on this hardness.

    •  Diamond has a very high melting point because of the strong covalent bonds linkingcarbon atoms in a giant structure. This means that the atoms cannot vibrate fast enough to

     break away from their neighbours until very high temperatures are reached.

    •  Diamond does not conduct electricity. Unlike metals, diamond has no free electrons because all four electrons in the outer shell of each carbon atom are held firmly incovalent bonds. So in diamond there are no free electrons to form an electric current.

    Giant Ionic Structures

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    Simple molecular substances

    Oxygen and water are good examples of simplemolecular substances. They are made of simplemolecules each containing a few atoms. Their

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    For example, hydrogen is H2, chlorine is Cl2, iodine is I2, carbon dioxide is CO2  andtetrachloromethane is CCl4  . Sugar (C12H22O11) has much larger molecules than these

    substances, but it still counts as a simple molecule.

    In these simple molecular substances, the atoms are held together in each molecule by strongcovalent bonds. But there are only weak forces between the separate molecules. These weakforces between the separate molecules are called intermolecular bonds or Van der Waalsforces.

    The properties of simple molecular substances

    The properties of simple molecular substances can be explained in terms of their structure.

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    •  Simple molecular substances do not conduct electricity.  They have no mobileelectrons like metals. They do not have any ions either. This means that they cannot

    conduct electricity as solids, as liquids or in aqueous solution.

     Notice the following key points from the last four ions.

    •  Substances with giant structures are often hard with high melting points and boiling points.

    •  Substances with simple molecular structures are usually soft with low melting pointsand boiling points.

    •  There are three types of strong force between particles in giant structures; metallic bonds between metal atoms, covalent bonds between non-metal atoms, ionic bonds between positive metal ions and negative non-metal ions.

    •  In simple molecular substances there are relatively weak forces between the separatemolecules.

    Ambook Resources

    For more fun and interactivity of this topic, do refer to your amBook under theunit: Interactions  – Atoms and Molecules.

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    MODERN CHEMICAL SYMBOLS

    Listed below are the atomic numbers, names, and symbols of the most common elements. Theatomic number is used to determine the place of the element in the periodic table; it also hasother meaning as you will find out later in the course.

    Become familiar with the names and symbols of these elements.

    Atomic Atomic

     Number Name Symbol Number Name Symbol

     ———— ——————— ———— ———— ——————— ————

    1 hydrogen H 28 nickel Ni

    2 helium He 29 copper Cu

    3 lithium Li 30 zinc Zn

    4 beryllium Be 33 arsenic As

    5 boron B 35 bromine Br

    6 carbon C 36 krypton Kr

    7 nitrogen N 37 rubidium Rb

    8 oxygen O 38 strontium Sr

    9 fluorine F 47 silver Ag

    10 neon  Ne 48 cadmium Cd

    11 sodium Na 50 tin Sn

    12 magnesium Mg 51 antimony Sb

    13 aluminum Al 53 iodine 1

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    Common ions and formulae of ionic compounds

    Symbols of common ionsYou are not expected to know all the names and symbols of common ions, but you should beable to work out the formulae of ionic compounds. The names and symbols of some ions areshown below.

    Formulae of ionic compounds

    Ionic compounds contain positive and negative ions. The number of positive charges must

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    Watch out for compound ions, e.g. ammonium, hydrogencarbonate, hydroxide, nitrate,sulfate and carbonate. If you need more than one of them to balance the charges, put brackets

    around their symbol at step (a) or (c). For example, sodium hydroxide is NaOH, butmagnesium hydroxide is Mg(OH)2; copper (II) sulfate is CuSO4, but ammonium sulfate is(NH4)2SO4.

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    35 Notes compiled by Lower Sec Science department @HCI

    Group

    I II III IV V VI VII 01 H 

    Hydrogen

    4

    He Helium 

    2 7

     Li Lithium

    9

    Be Beryllium 

    11

    B Boron 

    12

    C Carbon 

    14

    N  Nitrogen 

    16

    O Oxygen 

    19

    F Fluorine 

    20

    Ne  Neon 

    10 23 

    Na Sodium

    11 

    24

    Mg Magnesium

    12 

    27

    Al  Aluminium 

    13 

    28

    Si Silicon 

    14 

    31

    P Phosphorus

    15 

    32

    S Sulphur  

    16 

    35.5

    Cl  Chlorine 

    17 

    40

    Ar Argon 

    18 39

    K Potassium 

    19 

    40

    Ca Calcium 

    20 

    45

    Sc Scandium 

    21 

    48

    TiTitanium 

    22 

    51

    V Vanadium 

    23 

    52

    Cr Chromium 

    24 

    55

    Mn Manganese

    25 

    56

    Fe Iron 

    26 

    59

    Co Cobalt 

    27 

    59

    Ni  Nickel 

    28 

    64

    Cu Copper  

    29 

    65

    Zn Zinc 

    30 

    70

    Ga Gallium 

    31 

    73

    Ge Germanium 

    32 

    75

    As Arsenic 

    33 

    79

    Se Selenium 

    34 

    80

    Br Bromine 

    35 

    84

    Kr Krypton 

    36 

    85

    Rb Rubidium 

    37 

    88

    Sr Strontium 

    38 

    89

    Y Yttrium 

    39 

    91

    Zr Zirconium 

    40 

    93

    Nb  Niobium 

    41 

    96

    Mo Molybdenum

    42 Tc 

    Technetium 

    43 

    101

    Ru Ruthenium

    44 

    103

    Rh Rhodium 

    45 

    106

    Pd Palladium 

    46 

    108

    Ag Silver  

    47 

    112

    Cd Cadmium 

    48 

    115

    In Indium 

    49 

    119

    Sn Tin 

    50 

    122

    Sb Antimony 

    51 

    128

    Te Tellurium 

    52 

    127

    I Iodine 

    53 

    131

    Xe Xenon 

    54 133

    Cs Caesium 

    55 

    137

    Ba Barium 

    56 

    139

    La Lanthanium 

    57 

    178

    Hf  Hafnium 

    72 

    181

    Ta Tantalum 

    73 

    184

    W Tungsten 

    74 

    186

    Re Rhenium 

    75 

    190

    Os Osmium 

    76 

    192

    Ir Iridium 

    77 

    195

    Pt Platinum 

    78 

    197

    Au Gold  

    79 

    201

    Hg Mercury 

    80 

    204

    Tl  Thallium 

    81 

    207

    Pb Lead  

    82 

    209

    Bi Bismuth 

    83 

    Po Polonium 

    84 

    At Astatine 

    85 

    Rn Radon 

    86 

    Fr Francium 

    87 

    226

    Ra Radium 

    88 

    227

    Ac Actinium 

    89 + 

    *58-71 Lanthanoid series +90-103 Actinoid series 

    140

    Ce Cerium 

    58 

    141

    Pr Praseodymium 

    59 

    144

    Nd  Neodymium

    60 

    Pm Promethium 

    61 

    150

    Sm Samarium 

    62 

    152

    Eu Europium 

    63 

    157

    Gd Gadolinium 

    64 

    159

    Tb Terbium 

    65 

    162

    Dy Dysprosium  

    66 

    165

    Ho Holmium 

    67 

    167

    Er Erbium 

    68 

    169

    Tm Thulium 

    69 

    173

    Yb Ytterbium 

    70 

    175

    Lu Lutetium 

    71 

    Keya 

    X  b

    a = relative atomic mass

    X = atomic symbol b = proton (atomic) number  

    232

    Th Thorium 

    90 

    Pa Protactinium 

    91 

    238

    U Uranium 

    92 

    Np Neptunium

    93 

    Pu Plutonium 

    94 

    Am Americium 

    95 

    Cm Curium 

    96 

    Bk Berkelium 

    97 

    Cf  Californium 

    98 

    Es Einsteinium 

    99 

    Fm Fermium 

    100 

    Md Mendelevium

    101 

    No  Nobelium 

    102 

    Lr Lawrencium 

    103 

    The volume of one mole of any gas is 24 dm 3 at room temperature and pressure (r.t.p.)