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Chemical Bonding And Molecular Structure


Chemical Bonding And
           Molecular  Structure 


Chemical bonding
           Chemical bonding 


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KΓΆssel’s first insight into the mechanism of formation of Electropositive and Electronegative
ions related the process to the attainment of noble gas configurations by the respective ions. 

Electrostatic attraction between ions is the cause for their stability. This gives the concept of electrovalency.
The first description of covalent bonding was provided by Lewis in terms of the sharing of electron pairs between atoms and he related the process to the attainment of noble gas configurations by reacting atoms as a result of sharing of electrons. The Lewis dot symbols show the number of valence electrons of the atoms of a given element and Lewis dot
structures show pictorial representations of bonding in molecules. 

An ionic compound is pictured as a three-dimensional aggregation of positive and
negative ions in an ordered arrangement called the crystal lattice. The  crystalline solid there is a charge balance between the positive and negative ions. The crystal lattice is
stabilized by the enthalpy of lattice formation. While a single covalent bond is formed by sharing of an electron pair between two
atoms, multiple bonds result from the sharing of two or three electron pairs. Some bonded atoms have additional pairs of electrons not involved in bonding. These are called lone-
pairs of electrons. 

A Lewis dot structure shows the arrangement of bonded pairs and lone pairs around each atom in a molecule. Important parameters, associated with chemical
bonds, like: bond length, bond angle, bond enthalpy, bond order and bond polarity have significant effect on the properties of compounds. A number of molecules and polyatomic ions cannot be described accurately by a single Lewis structure and a number of descriptions (representations) based on the same skeletal structure are written and these taken together represent the molecule or ion. This is a very important and extremely useful concept called resonance. The contributing structures or canonical forms taken together constitute the resonance hybrid which represents the molecule or ion.

              The VSEPR model used for predicting the geometrical shapes of molecules is based on the assumption that electron pairs repel each other and, therefore, tend to remain as far
apart as possible. According to this model, molecular geometry is determined by repulsions
between lone pairs and lone pairs ; lone pairs and bonding pairs and bonding pairs and bonding pairs. The order of these repulsions being : lp-lp > lp-bp > bp-bp The valence bond (VB) approach to covalent bonding is basically concerned with the
energetics of covalent bond formation about which the Lewis and VSEPR models are silent. Basically the VB theory discusses bond formation in terms of overlap of orbitals. For
example the formation of the H2 molecule from two hydrogen atoms involves the overlap of the 1s orbitals of the two H atoms which are singly occupied. It is seen that the potential
energy of the system gets lowered as the two H atoms come near to each other. At the equilibrium inter-nuclear distance (bond distance) the energy touches a minimum. Any attempt to bring the nuclei still closer results in a sudden increase in energy and consequent destabilization of the molecule. Because of orbital overlap the electron density between the
nuclei increases which helps in bringing them closer. It is however seen that the actual bond enthalpy and bond length values are not obtained by overlap alone and other variables have to be taken into account.

For explaining the characteristic shapes of polyatomic molecules Pauling introduced
the concept of hybridisation of atomic orbitals. sp,sp2, sp3 hybridizations of atomic orbitals of Be, B,C, N and O are used to explain the formation and geometrical shapes of molecules
like BeCl2, BCl3, CH4, NH3 and H2O. They also explain the formation of multiple bonds in molecules like C2H2 and C2H4. The molecular orbital (MO) theory describes bonding in terms of the combination and arrangment of atomic orbitals to form molecular orbitals that are associated with the
molecule as a whole. The number of molecular orbitals are always equal to the number of atomic orbitals from which they are formed. 

Bonding molecular orbitals increase electron
density between the nuclei and are lower in energy than the individual atomic orbitals. Antibonding molecular orbitals have a region of zero electron density between the nuclei and have more energy than the individual atomic orbitals.
The electronic configuration of the molecules is written by filling electrons in the molecular orbitals in the order of increasing energy levels. As in the case of atoms, the Pauli's exclusion principle  and Hund’s rule are applicable for the filling of molecular orbitals. Molecules are said to be stable if the number of elctrons in bonding molecular orbitals is
greater than that in antibonding molecular orbitals. 


Hydrogen bond is formed when a hydrogen atom finds itself between two highly electronegative atoms such as F, O and N. It may be intermolecular (existing between two or more molecules of the same or different substances) or intramolecular (present within the same molecule). Hydrogen bonds have a powerful effect on the structure and properties
of many compounds



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Motion in a straight line

Motion in a straight line 

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Motion in straight line
Motion in a straight line


 
1. An object is said to be in Motion  if its position changes with time. The position of the
object can be specified with reference to a conveniently chosen origin. For motion in
a straight line, position to the right of the origin is taken as positive and to the left as
negative.
2. Path length is defined as the total length of the path traversed by an object.
3. Displacement is the change in position : ∆x = x2 – x1. Path length is greater or equal to
the magnitude of the displacement between the same points.
4. An object is said to be in Uniform motion in a straight line if its displacement is equal
in equal intervals of time. Otherwise, the motion is said to be non-uniform.
5. Average velocity is the displacement divided by the time interval in which the
displacement occurs :
v
x
t
= ∆
On an x-t graph, the average velocity over a time interval is the slope of the line
connecting the initial and final positions corresponding to that interval.
6. Average Speed is the ratio of total path length traversed and the corresponding time
interval.
The average speed of an object is greater or equal to the magnitude of the average
velocity over a given time interval.
7. Instantaneous velocity or simply velocity is defined as the limit of the average velocity as
the time interval ∆t becomes infinitesimally small :
d
t0 t0 d
x x v lim v lim ∆→ ∆→ t t
∆ == = ∆
The velocity at a particular instant is equal to the slope of the tangent drawn on
position-time graph at that instant.
8. Average acceleration is the change in velocity divided by the time interval during which
the change occurs :
v
a
t
∆ = ∆
9. Instantaneous acceleration is defined as the limit of the average acceleration as the time
interval ∆t goes to zero :
d
t0 t0 d
v v a lim a lim ∆→ ∆→ t t
∆ == = ∆
The acceleration of an object at a particular time is the slope of the velocity-time
graph at that instant of time. For uniform motion, Acceleration is zero and the x-t
graph is a straight line inclined to the time axis and the v-t graph is a straight lineparallel to the time axis. For motion with uniform acceleration, x-t graph is a parabola
while the v-t graph is a straight line inclined to the time axis.
10. The area under the velocity-time curve between times t1 and t2 is equal to the displacement
of the object during that interval of time.
11. For objects in uniformly accelerated rectilinear motion, the five quantities, displacement
x, time taken t, initial velocity v0, final velocity v and acceleration a are related by a set
of simple equations called kinematic equations of motion :
 v = v0 + at
 x vt
1
2
at 0
2 = +
 v v 2ax 2
0
2
= +
if the position of the object at time t = 0 is 0. If the particle starts at x = x0 , x in above
equations is replaced by (x – x0).

          

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Morphology in flowering plants

Morphology  In Flowering Plants 

     

Morphology in flowering plants
Morphology in flowering plants 

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1. Plant morphology notes -1

3) Morphology in flowering plants part 3

4) Morphology in flowering plants part 4

 

   

  Flowering plants exhibit enormous variation in shape, size, structure, mode of nutrition, life span, habit & habitat. They have well developed root & shoot system. Root system is either tap root or fibrous. Generally, Dicotyledonous plants have tap root while Monocotyledonous plants have fibrous root. The roots in some plants get modified for storage of food, mechanical support and respiration. 



The shoot system is differentiated into stem, leaves, flowers and fruits. The morphological features of stems like the presence of nodes and interviews, multicellular hair and positively phototropic nature  help to differentiate the stems from roots. 



Stems also get modified to perform diverse function such as storage of food, vegetative propagation and protection under different conditions. Leaf is lateral outgrowth of stem developed exogeneously at the nodes. These are

green in colour to perform the function of photosynthesis.  Leaves exhibit marked variations in their shape, size, margin, apex and extent of incisions of leaf Blade ( lamina). Like other parts of plants, the leaves also get modified into other structures such as tendrils, spines for climbing and protection respectively. 



              The flower is a modified shoot, meant for sexual reproduction. The flowers are arranged in different types of Inflorescence . They exhibit enormous variation in structure, symmetry, position of ovary in relation to  other parts, arrangement of petals,  sepals, ovules etc. After fertilisation, the ovary is modified into fruits and ovules into seeds. Seeds either may be monocotyledonous or dicotyledonous. They vary in shape, size and period of viability. The floral characteristics form the basis of classification and identification of flowering plants. This can be illustrated through semi-techical description of families. Hence,  a flowering plant is described in a definite sequence by using scientific terms. The floral features ate represented in the summarised form as floral bbdiagrams and Floral formula.


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