This theory was proposed by Hund and Mulliken in 1932. The basic idea of the theory is that atomic orbitals of individual atoms combine to form molecular orbitals.
Valency bond theory was proposed by Heitler and London in 1927 and it was further developed by Linus Pauling.
The basic idea of the theory are:
1. A covalent bond is formed by the overlap of half-filled atomic orbitals of the different atoms.
2. The overlapping atomic orbitals must have electrons with opposite spins.
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Ben's Chem Videos
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Electronic configuration of atoms using Aufbau, Pauli's principle and Hund's rule - Chemistry
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Elearin
Atomic orbitals are the sub-stationary states or the regions in space where the electrons revolve around the nucleus in an atom.
Electronic configuration of atoms is representation of the occupation of electrons in the orbitals. In other words, electronic configuration of atoms specifies the order in which electrons fill up the orbitals. The order in which these electrons are filled into the atomic orbitals are controlled by three principles.
According to this principle an electron always occupies the lowest energy orbital first before filling the higher level. For example, an electron always occupies 2s, the lower energy orbital, first instead of the higher 3s orbital.
The Aufbau or building-up principle can be explained with the example of Hydrogen Atom. Hydrogen has one electron. This electron enters the 1s orbital which has the lowest energy.
In other words, building-up principle states that the incoming electrons go to an orbital which has the least (n+l) value. However, the orbital having lower 'n' value will be occupied first, in case any two orbitals have the same (n+l) value.
Consider the example of Silicon whose atomic number is 14. Twelve electrons can be accommodated in 1s, 2s, 2p, 3s orbitals. Now, the last two electrons can enter into either 3p or 4s orbital. The (n+ l) values of these orbitals are the same, that is,
3p orbital has a (n+l) value of 3+1=4 and 4s has (n+l) value of 4+0 = 4
This means, both the orbitals have the same (n+l) value. But the 3p orbital has 'n' value, that is 3, which is less than the n value of 4s, which is 4. Therefore thirteenth and fourteenth electrons occupy the 3p orbital first. Thus the electronic configuration of Si is 3s2 3p2.The superscript represents the number of electrons present in the corresponding orbital.
The second important rule to determine the electronic configuration of an atom is the Hund's Rule. It says electron pairing happens only after all the available degenerate orbitals are occupied by one electron each.
Hund's rule example: . Consider the element Oxygen with Z=8. I has 8 electrons, the first electron goes into the '1s' orbital of the K-Shell. The second electron will be paired up with the first in the same 1s orbital. Similarly the third and fourth electrons will occupy the 2s orbital of L-Shell. The Fifth electron goes into one of the three 2p orbitals of L-Shell. Let that be 2px. Since the three p-orbitals i.e., 2px,2py and 2pz are degenerate , the sixth electron goes into 2py or 2pz but not 2px. Let us say it goes to 2py. Since 2pz is a degenerate orbital, the seventh electron goes to 2pz instead of pairing up with electron in 2px or 2py.
Now, since all the 3 sub-orbitals have one electron each, the eighth electron can pair up with any of the three electrons in 2px, 2py and 2pz orbitals. Thus the electronic configuration of Oxygen can be written as 1s1.2s2. 2px2 .2py1. 2pz1. The arrows indicate electrons with spin +1/2 and -1/2. Let us consider the nitrogen atom. it has 7 electrons. The first six electrons have the same arrangement as that of carbon atom 1s1.2s2. 2px1 .2py1. The seventh electron will enter only in 2pz but can not enter into 2px or 2py orbital. Thus the configuration is 1s1.2s2. 2px1 .2py1 2pz1
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The third important rule for electronic configuration, the Pauli's Exclusion Principle states that no two electrons will have the four quantum numbers same. This means that two electrons can ever have any identical values of n, l, m and s values. Because of this rule a single orbital can have only 2 electrons.
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1.7 Orbital Wave Functions and Shapes of Orbitals - Video Lectures
1.7 Orbital Wave Functions and Shapes of Orbitals
1. Spherical shape for s.
2. Dumbbell shape for orbitals of p.
3. Four-lobed shape for orbitals of d.
4. Complex shape for all orbitals of higher sublevels
The Wave Behavior of Matter (Part 1 of 2 for Atomic Orbitals)
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dcaulf
Atomic Orbitals Explained (Sequel to Wave Behavior of Matter)
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dcaulf
Shapes of Atomic Orbitals - IIT JEE Main and Advanced Chemistry Video Lecture
According to quantum mechanical model or wave mechanical model of atom, orbitals represent regions in space around the nucleus where the probability of finding electrons is maximum. A large number of orbitals are possible in an atom.
To describe each electron in an atom in different orbitals, four quantum numbers are used. They are designated as n,l,ml, and ms.
1. Principal quantum number (n) This quantum number determines the main energy shell or level in which the electron is present. It can have whole number values starting from 1 in an atom.
The principle quantum number indicates the average distance of the electron from the nucleus. If n = 1, it is closest to the nucleus and has lowest energy.
Eariest practice was to number shells as K,L,M,N etc.
Shell with principal quantum number n = 1 is called K.
Shell with principal quantum number n = 2 is called etc.
2. Azimuthal quantum number or angular quantum number (l): This number determines the angular momentum of the electron.
It can have positive integer values from zero to (n-1) where n is the principal quantum number. For each value of n, there are n possible values of l.
For n =3, l has three values: l = 0,1,2
The earlier practice is to designate l as subshell and refer it by letters s,p,d,f,….
l=0 = s; l=1=p; l=2=d, l=3=f etc.
The energy of subshell increases with increasing value of l.
3. Magnetic quantum number ( ml): Magnetic field acts on moving electrical charges. ( from chapters on magnetism in physics syllabus). On revolving electrons external magnetic field of the earth acts. Therefore, the electrons in a given subshell orient themselves in certain preferred regions space around the nucleus. These are called orbitals. This quantum number gives the number of orbitals for given angular quantum number l or in a given subshell.
The allowed values of ml are –l through 0 to +l.
There are (2l+1) values of ml for each value of l.
If l = 0, ml has only one value. ml = 0.
If l = 3, ml has 7 values.
ml = -3,-2,-1,0,1,2,3
4. Spin quantum number (ms) : It is observed that the electron in an atom is not only revolving around the nucleus but is also spinning around its own axis. This quantum number describes the spin orientation of the electron.
The electron can spin in two ways – clockwise and anticlockwise.
Values of +1/2 and -1/2 are given to this quantum number. Its value is not dependent on other quantum numbers.
The orientations of spin are also designated by up and down arrows ↑ ↓.
1.4 Wave Mechanical Model of Atom and Concept of Atomic Orbital - Video Lectures
1.4 Wave Mechanical Model of Atom and Concept of Atomic Orbital
Quantum mechanics or wave mechanics is a theoretical science which deals with the study of the motion of the microscopic objects (like electron) which have both observable wave like and particle like properties.
Quantum mechanics was developed indepdendently in 1926 by Werner Heisenberg and Erwin Schrodinger. In 1927, Schrodinger wave equation was published.
1.3 Heisenberg's Uncertainty Principle - Video Lectures
Heisenberg's Uncertainty principle
In 1927, Heisenberg put forward a principle known as Heisenberg’s uncertainty principle.
According it, “it is not possible to measure simultaneously both the position and momentum (or velocity) of a microscopic particle, with absolute accuracy.”
Mathematically, this principle is expressed as:
∆x * ∆p = h/4 π
Where
∆x = uncertainty in position
∆p = uncertainty in momentum
The constancy of the product of uncertainties means that, if the position of the particle is known with more accuracy, there will be large uncertainty in momentum and vice versa.
This uncertainty arises, as all observations are made by impact of light, the microscopic objects suffer a change in position or velocity as a result of impact of light. So there is a disturbance in them due to the measurement.
The principle does not affect the measurement of large objects as in these cases impact of light does not created any appreciable change in their position or velocity.
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AK Lectures
Heisenberg Uncertainty Principle Example # 1
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