JEE Main & Advanced

The magnitude of polarization or increased covalent character depends upon a number of factors.  These factors are,            (1) Small size of cation : Smaller size of cation greater is its polarizing power i.e. greater will be the covalent nature of the bond.            (2) Large size of anion : Larger the size of anion greater is its polarizing power i.e. greater will be the covalent nature of the bond.            (3) Large charge on either of the two ions :  As the charge on the ion increases, the electrostatic attraction of the cation for the outer electrons of the anion also increases with the result its ability for forming the covalent bond increases.                 (4) Electronic configuration of the cation :  For the two ions of the same size and charge, one with a pseudo noble gas configuration (i.e. 18 electrons in the outermost shell) will be more polarizing more...

Covalent bond was first proposed by Lewis in 1916. The bond formed between the two atoms by mutual sharing of electrons so as to complete their octets or duplets (in case of elements having only one shell) is called covalent bond or covalent linkage. A covalent bond between two similar atoms is non-polar covalent bond while it is polar between two different atom having different electronegativities. Covalent bond may be single, double or a triple bond. We explain covalent bond formation by Lewis octet rule.  Chlorine atom has seven electrons in the valency shell. In the formation of chlorine molecule, each chlorine atom contributes one electron and the pair of electrons is shared between two atoms. both the atoms acquire stable configuration of argon. \[\underset{(2,\,8,\,7)}{\mathop{_{\bullet }^{\bullet }\underset{\bullet \,\,\bullet }{\overset{\bullet \,\,\bullet }{\mathop{Cl}}}\,\,\bullet }}\,\,\underset{(2,\,8,\,7)}{\mathop{\,\,\,*\underset{*\,\,*}{\overset{*\,\,*}{\mathop{Cl\,_{*}^{*}}}}\,}}\,\,\,\,\,\,\to \,\,\,\,\underset{\,(2,\,8,\,8)\,\,\,\,\,\,\,(2,\,8,8)}{\mathop{\,\underset{\bullet \,\,\bullet \,\,}{\overset{\bullet \,\,\bullet \,\,}{\mathop{_{\bullet }^{\bullet }Cl\,\,_{\,*}^{\,\bullet }}}}\,\,\,\underset{*\,\,*\,\,\,\,\,}{\overset{*\,\,*\,\,\,\,\,}{\mathop{Cl\,_{*}^{*}}}}\,}}\,\]   or  \[Cl-Cl\] Some other examples are : \[{{H}_{2}}S,N{{H}_{3}},HCN,PC{{l}_{3}},P{{H}_{3,}}\] \[{{C}_{2}}{{H}_{2}},{{H}_{2}},{{C}_{2}}{{H}_{4}},SnC{{l}_{4}},FeC{{l}_{3}},B{{H}_{3}},\]graphite, \[BeC{{l}_{2}}\]etc. more...

An electrovalent bond is formed when a metal atom transfers one or more electrons to a non-metal atom.            \[\overset{\bullet \,\,\,\,}{\mathop{Na}}\,\,\,\,\,+\,\,\,\bullet \underset{\bullet \,\,\bullet \,\,\,}{\overset{\bullet \,\,\bullet \,\,\,\,}{\mathop{Cl\,_{\bullet }^{\bullet }}}}\,\,\,\,\,\,\,\,\,\to \,\,\,\,\,{{\left[ \underset{\,}{\overset{\,}{\mathop{Na}}}\, \right]}^{+}}\,\,{{\left[ _{\bullet }^{\bullet }\underset{\bullet \,\,\bullet \,\,}{\overset{\bullet \,\,\bullet \,\,\,}{\mathop{Cl\,_{\bullet }^{\bullet }}}}\, \right]}^{-}}\,\,\,\,\text{or}\,\,\,\,\,\,N{{a}^{+}}C{{l}^{-}}\]            Some other examples are: \[MgC{{l}_{2}},\text{ }CaC{{l}_{2}},\text{ }MgO,\text{ }N{{a}_{2}}S,\text{ }Ca{{H}_{2}},\text{ }Al{{F}_{3}},\text{ }NaH,\text{ }KH,{{K}_{2}}O,\text{ }KI,\text{ }RbCl,\text{ }NaBr,\text{ }Ca{{H}_{2}}\] etc.            (1) Conditions for formation of electrovalent bond            (i) The atom which changes into cation (+ ive ion) should possess 1, 2 or 3 valency electrons. The other atom which changes into anion (+ ve ion) should possess 5, 6 or 7 electrons in the valency shell.            (ii) A high difference of electronegativity (about 2) of the two atoms is necessary for the formation of an electrovalent bond. Electrovalent bond is not possible between similar atoms.            (iii) There must be overall decrease in energy i.e., energy must be released. more...

Chemical bonding takes place due to acquire a state of minimum energy and maximum stability and to convert atoms into molecule to acquire stable configuration of the nearest noble gas. We divide atoms into three classes,          (1) Electropositive elements which give up one or more electrons easily. They have low ionisation potentials.            (2) Electronegative elements, which can gain electrons. They have higher value of electronegativity.            (3) Elements which have little tendency to lose or gain electrons.            Different types of bonds are formed from these types of atoms.
Atoms involved Type
A + B Electrovalent
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On the basis of the elecronic configuration principles the electronic configuration of various elements are given in the following table :            The above method of writing the electronic configurations is quite cumbersome. Hence, usually the electronic configuration of the atom of any element is simply represented by the notation. Some Unexpected Electronic Configuration            Some of the exceptions are important though, because they occur with common elements, notably chromium and copper.            \[Cu\] has 29 electrons. Its excepted electronic configuration is \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}4{{s}^{2}}3{{d}^{9}}\] but in reality the configuration is \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}4{{s}^{1}}3{{d}^{10}}\] as this configuration is more stable. Similarly \[Cr\] has the configuration of \[1{{s}^{2}}2{{s}^{2}}s{{p}^{6}}3{{s}^{2}}3{{p}^{6}}4{{s}^{1}}3{{d}^{5}}\] instead of  \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}}3{{s}^{2}}3{{p}^{6}}4{{s}^{2}}3{{d}^{4}}\].            Factors responsible for the extra stability of half-filled and completely filled subshells,            (i) Symmetrical distribution : It is well known fact that symmetry leads to stability. Thus the electronic configuration more...

           The atom is built up by filling electrons in various orbitals according to the following rules,                      (1) Aufbau?s principle          This principle states that the electrons are added one by one to the various orbitals in order of their increasing energy starting with the orbital of lowest energy. The increasing order of energy of various orbitals is      \[1s<2s<2p<3s<3p<4s<3d<4p<5s<4d<5p<6s<4f\] \[<5d<6p<7s<\,5f<6d<7p.........\]            (2) (n+l) Rule            In neutral isolated atom, the lower the value of (n + l) for an orbital, lower is its energy. However, if the two different types of orbitals have the same value of (n + l), the orbitals with lower value of \[n\] has lower energy.            (3) Pauli?s exclusion principle            According to this principle ?no two electrons in an atom will have same value of all the four quantum numbers?.            If one electron in an atom has the quantum numbers \[n=1\], more...

The atom is built up by filling electrons in various orbitals according to the following rules,                      (1) Aufbau's principle          This principle states that the electrons are added one by one to the various orbitals in order of their increasing energy starting with the orbital of lowest energy. The increasing order of energy of various orbitals is      \[1s<2s<2p<3s<3p<4s<3d<4p<5s<4d<5p<6s<4f\] \[<5d<6p<7s<\,5f<6d<7p.........\]            (2) (n+l) Rule            In neutral isolated atom, the lower the value of (n + l) for an orbital, lower is its energy. However, if the two different types of orbitals have the same value of (n + l), the orbitals with lower value of \[n\] has lower energy.            (3) Pauli's exclusion principle            According to this principle ?no two electrons in an atom will have same value of all the four quantum numbers?.            If one electron in an atom has the quantum numbers \[n=1\], \[l=0\], more...

If a number of non zero vectors are represented by the (n - 1) sides of an n-sided polygon then the resultant is given by the closing side or the nth side of the polygon taken in opposite order. So, \[\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}+\overrightarrow{D}+\overrightarrow{E}\] \[\overrightarrow{OA}+\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CD}+\overrightarrow{DE}=\overrightarrow{OE}\] Note : 
  • Resultant of two unequal vectors can not be zero.            
  • Resultant of three co-planar vectors may or may not be zero            
  • Resultant of three non co- planar vectors can not be zero.    

If two non zero vectors are represented by the two adjacent sides of a parallelogram then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors. (1) Magnitude  Since, \[{{R}^{2}}=O{{N}^{2}}+C{{N}^{2}}\] \[\Rightarrow \]\[{{R}^{2}}={{(OA+AN)}^{2}}+C{{N}^{2}}\] \[\Rightarrow \]\[{{R}^{2}}={{A}^{2}}+{{B}^{2}}+2AB\cos \theta \] \[\therefore \] \[R=\,|\overrightarrow{R}|\,=\,|\overrightarrow{A}+\overrightarrow{B}|\,=\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\]     Special cases : \[R=A+B\] when q = 0o \[R=A-B\] when q = 180o \[R=\sqrt{{{A}^{2}}+{{B}^{2}}}\] when q = 90o (2) Direction \[\tan \beta =\frac{CN}{ON}=\frac{B\sin \theta }{A+B\cos \theta }\]    

Each orbital in an atom is specified by a set of three quantum numbers (n, l, m) and each electron is designated by a set of four quantum numbers (n, l, m and s).              (1) Principle quantum number (n)            (i) It was proposed by Bohr and denoted by 'n'.            (ii) It determines the average distance between electron and nucleus, means it denotes the size of atom.            (iii) It determine the energy of the electron in an orbit where electron is present.          (iv) The maximum number of an electron in an orbit represented by this quantum number as \[2{{n}^{2}}.\] No energy shell in atoms of known elements possess more than 32 electrons.            (v) It gives the information of orbit K, L, M, N------------.            (vi) Angular momentum can also be calculated using principle quantum number              (2) Azimuthal quantum number (l)            (i) more...


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