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Understanding the Atom_OLD

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Contents: Chapter 2: Quantum Theory, Orbits vs. Orbitals, Orbital Shapes, Electron Configuration Diagram. Chapter 3: Writing Full Electron Configurations and Diagrams, Aufbau Rule, Hünd's Rule, Pauli Principle, and Connection between Periodic Table and Order of Filling for Electrons, Many Examples Worked for the Student. Narration: William R. Sponholtz, III, B.S., M.S., PH.D. Full DVD available at http://sponholtzproductions.comIncludes: Chapter 1: Protons, Neutrons, Electrons, Strong Nuclear Force, Ions, Cations, Anions, Mass Number, Atomic Mass, Atomic Number, Isotopes, Nucleus, and Relative Size of Atom, Many Examples and Calculations Worked for the Student. Chapter 4: Writing Abbreviated Electron Configurations and Diagrams, Noble Core and Valence Electrons, Many Examples Worked for the Student. Chapter 5: Determining the Four Quantum Numbers (Principle, Angular Momentum, Magnetic, and Spin Quantum Number), Many Examples Worked for the Student.

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[Music]

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in the early 1900's many brilliant minds

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were changing the landscape of science

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in particular quantum theory was

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emerging and changing the way we viewed

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the atom one of the great results of

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quantum mechanics was the orbital which

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is where the electrons reside an orbital

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should never be confused with an orbit

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an orbit is a mathematically defined

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pathway for example how the Earth orbits

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the Sun using classical Newtonian

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physics we can predict where the earth

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will be on the orbit at some time T and

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where it was at some time T in the past

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you may have seen a similar simplified

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model of the atom where the electron is

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orbiting the nucleus on a mathematically

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defined pathway which couldn't be

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further from the truth an orbital is a

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much more complicated concept than an

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orbit in fact we know nothing about how

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the electron moves around the nucleus

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thus quantum mechanics demonstrated that

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electrons did not move around in neat

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orbits but existed in regions called

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orbitals with a fixed amount of energy

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in simplest terms an orbital is a

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three-dimensional region or shape and

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you can expect to find an electron

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inside the shape 90% of the time and may

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help to think of the shape as a boundary

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surface the electron is more likely to

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be inside this boundary shape rather

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than outside the boundary let's apply

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this concept of boundary shape to the

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electron of the hydrogen atom which has

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one proton in the nucleus and one

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electron in a surrounding orbital if you

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imagine the electron is moving in a

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random manner with fixed energy around

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the nucleus and then imagine that we

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take a picture of this electron every

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second for a day a week or month we see

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that all these pictures laid on top of

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one

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begin to form an electron cloud around

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the nucleus remember all these

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hypothetical pictures or data points

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represent where the electron has been

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over time if we now attempt to create a

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three-dimensional surface to encompass

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90% of all these data points we obtain a

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sphere which is often called the

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boundary surface the creation of this

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boundary surface for the hydrogen atom

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which is called an S orbital requires

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some pretty complex calculus thus if an

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electron is in an orbital the electron

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has a fixed amount of energy and the

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orbital is a three-dimensional region

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around the nucleus that indicates the

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probable location of that electron 90%

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of the time there are many different

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orbitals for the electrons to reside the

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success of solutions or orbitals from

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quantum mechanics increase in relative

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energy when we add the shapes to the

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energy terms we get the following

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electron configuration diagram which

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shows all the orbitals available for

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electrons to reside the orbitals fall

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into one of four broad categories s P D

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and F orbitals interestingly there is

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one solution each time an S orbital is

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obtained three solutions of the same

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energy each time a P solution is

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obtained five solutions of the same

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energy each time a D solution is

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obtained and seven solutions of the same

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energy each time an F solution is

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obtained in the next chapter we will

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revisit this diagram in detail to aid in

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writing electron configurations for now

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let's just focus on what this diagram

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represents the orbitals and each of

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these lines abstractly represents an

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orbital for example the first line on

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the electron configuration diagram is

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the 1s orbital and it is a sphere this

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is where the first two electrons of an

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atom can be found 90% of the time

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in addition all the s orbitals are

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shaped like spheres the three 2p

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orbitals are shaped like dumbbells

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oriented along the three axis the 2px

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2py and 2pz for convenience your

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instructor will often shrink them down

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to a third of their size so that they

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are easier to draw if we continue to go

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up and relative energy the shapes of the

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orbitals become increasingly more

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complicated as demonstrated by the 3d

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orbital shapes and it is unlikely that

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your instructor will hold you

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accountable before these shapes although

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this diagram may look complicated

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remember that each line abstractly

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represents an orbital and that all these

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orbitals overlap on the same atom here

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you can see that a 1s orbital is the

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first orbital that the electrons will

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reside in then the 2's orbital is on top

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of that then the three 2p orbitals on

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top of them and so on and so on until

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the necessary amount of orbitals are

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present to house all of the electrons

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that an atom may possess if orbitals are

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where electrons can be found 90% of the

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time in the next chapter we will examine

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how many electrons are in each orbital

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and the order in which they are filled

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by an atom

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[Music]

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the arrangement of electrons in an atom

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is known as the atoms electron

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configuration think of this as finding a

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home for each electron electrons want to

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be in the lowest energy arrangement

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called the ground state electron

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configuration and to accomplish this we

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need to follow three basic rules the

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alcohol principle tells us the order the

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orbitals are filled Alf ball is a german

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word meaning to build up just like

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building a house we need to start at the

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bottom floor when that is completely

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finished we begin on the next floor thus

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electrons are added to the lowest energy

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orbital first and then we work our way

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up in relative energy this means that on

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the electron configuration diagram

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electrons are placed into the 1s orbital

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first then the 2s followed by the 2p 3s

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3p and so on and so on until the

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necessary amount of orbitals are filled

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to house all of the electrons that an

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atom may possess the next rule is called

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the Pauli exclusion principle which

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simply translates to only two electrons

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per orbital with opposite spin within

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the electron configuration diagram we

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will represent electrons as 1/2 arrows

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the first arrow is up and the second

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arrow is down remember that each line on

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this diagram abstractly represents an

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orbital and that each arrow represents

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an electron in that orbital below the

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diagram is the electron configuration

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notation which utilizes exponents to

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indicate the number of electrons within

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each orbital the third and last rule is

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called

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Poon's rule which states orbitals of

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equal energy are occupied by one

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electron before any orbital is occupied

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by a second electron now let's review

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these three basic rules the first

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electron goes into lowest energy orbital

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1s orbital which is the Aufbau rule the

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second electron goes into that same

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orbital with opposite spin the Pauli

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exclusion principle states we can only

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have two electrons per orbital thus the

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third electron goes into the next

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highest energy orbital the 2s the fourth

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electron also goes into the 2's orbital

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with opposite spin followed by the fifth

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electron filling one of the 2p orbitals

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hoon's rule states that the six electron

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will go into a different 2p orbital

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because we should fill the orbitals one

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at a time across an energy level before

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pairing electrons subsequent electrons

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are added following these three basic

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rules until the required amount of

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electrons are added to work this example

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problem we first need to consult the

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periodic table to ascertain how many

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electrons are in a neutral atom of

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carbon in the first chapter we learned

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how to quickly deduce the number of

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electrons and we will meet the skill now

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the atomic number of carbon is 6

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thus a neutral atom of carbon has 6

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electrons therefore this problem simply

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translates to finding a home for 6

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electrons following our three simple

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rules we place all six electrons into

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our diagram as shown start at the bottom

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working our way up two electrons per

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orbital with opposite spin and fill the

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orbitals one at a time across an energy

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level before pairing electrons

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in this example we have one more

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electron than the atomic number of

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fluorine

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thus examining the periodic table we see

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that fluorines atomic number is nine

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which means there are nine protons and

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ten electrons if we have a negative one

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charge thus the problem is really asking

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us to find a home for 10 electrons again

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following our three simple rules we

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place all 10 electrons into our diagram

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as shown in this example the calcium

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atom has lost two electrons when

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compared to the number of protons

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thus examining the periodic table we see

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that calcium so Tomic number is 20 which

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means there are 20 protons and 18

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electrons if we have a positive 2 charge

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thus the problem is really asking us to

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find a home for 18 electrons again

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following our three simple rules we

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place all 18 electrons into our diagram

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as shown

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[Music]

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first we need to consult the periodic

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table to ascertain how many electrons

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are in a neutral atom of gallium which

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will be the same as the atomic number

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for gallium gallium atomic number is 31

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which means there are 31 electrons if

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gallium has no charge thus the problem

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is really asking us to find a home for

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31 electrons again following our three

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simple rules we place all 31 electrons

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into our diagram as shown

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[Music]

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you are probably thinking that it is

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going to be very challenging to memorize

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and reproduce the electron configuration

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diagram template shown however if you

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have access to a periodic table you can

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easily reproduce it for example if you

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simply read the periodic table from left

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to right the correct order of orbital

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filling is obtained 1s 2s 2p 3s 3p 4s

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then you go down a level for the 3d back

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up to the 4p 5s down a level for the 4d

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and so on in addition the periodic table

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tells us how many electrons go into each

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sublevel for example the s block is 2

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elements across the Stu electrons can go

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into all the s sub levels the P block is

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6 elements across the 6 electrons can go

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in all the P sub levels the D block is

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10 elements across thus 10 electrons can

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go in all the D sub levels and finally

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the F block is 14 elements across which

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means 14 electrons can go in all the F

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sub levels you may notice that when we

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compare the order of filling we obtained

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from the periodic table to the electron

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configuration diagram template they are

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the same clearly having access to a

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periodic table helps us reproduce the

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electron configuration diagram template

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thus you should practice drawing this

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diagram on your own with the aid of a

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periodic table until you have mastered

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this skill

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as you can tell the keys to writing

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electron configurations are to quickly

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ascertain the number of electrons for an

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atom or ion from the periodic table and

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to be able to quickly reproduce the

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template for the electron configuration

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diagram remember you can use the

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periodic table to help you reproduce it

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then simply follow the three basic rules

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for electron configurations and you

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should have no problems determining

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electron configurations

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you

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