Sound wave absorption

 Introduction :                                            
Sound waves travel in air as progressive longitudinal waves. Elasticity and inertia of the air  enable the sound wave to propagate with certain velocity. Sound cannot be transmitted through vacuum. It can travel through any solid, liquid and gas. All the frequencies of the vibrating bodies can not produce the sensation of hearing.

Sound  is a type of energy propagated in longitudinal waves. The source of sound could be any body which is vibrating. Some of the  examples are  a tuning fork which is excited, the wire of a stringed instrument being plucked , a bell which is struck with a hard thing,  etc.  When a sound wave is incident on any surface, a part of  the incident energy is always absorbed. Absorbption of  sound energy  vary  with different substances.

Thick screens or curtains, mats, carpets, wood, card boards are some of the examples of sound absorbers. Human bodies are very good absorbers of sound.  Best absorbers are those which absorb sound completely. Open windows and doors are therefore perfect absorbers. The characteristic absorption of a surface can be different at different frequencies.

Absorption coefficient of sound wave:

Absorption coefficient :  The absorption coefficient of a surface is defined as the ratio of the sound energy absorbed by the surface to the sound energy absorbed by an open window of equal area in the same time.

If Es  and Ew  are the amounts of sound energies absorbed by a given surface and an open window of the same area during same time, then

              The absorption coefficient        a     =    `(Es)/(Ew)`

Thus if  'a'  is the absorption coefficient of a surface and s is the surface area, the sound energy absorbed by it is given by  A  =  as.  Absorption coefficient 'a' has no unit but the SI unit of 'as' is metric sabin.

The absorption coefficients of certainsubstnces at a frequency of 512 Hz are given below.

S.No          Substance             Absorption Coefficient

1.               Marble                         0.01

2.               Glass                            0.028

3.               Carpet                          0.2

4.               Heavy Curtains             0.52

5.                Fibre glass                   0.69

6.              Open window                1.00

Doppler effect sound

Change in frequency of a wave for an observer which is moving with respect  to the source is called Doppler Effect. It was first proposed by Austrian physicist Christian Doppler in 1842. In day to day life we observe this phenomenon when a vehicle sounding a siren moves towards or away from an observer. The received frequency is higher (compared to the original emitted frequency) when source is coming nearer, it is identical at the instant of passing by, and it is lower when souce is moving away.

In mathematical form we write Doppler Effect as follows:
f= (V + Vr) / (V + Vs) * fo
Where:
V is the velocity of sound waves in the medium

Vr is the velocity of the receiver relative to the medium; taken positive if the receiver is moving towards the source.

Vs is the velocity of the emitting sound source relative to the medium; taken positive if the source is moving away from the receiver.

The frequency is decreased if either receiver or sound source moving away from the other.
Analysis

In Doppler Effect actually the frequency of the sounds that the source emits does not change. Let’s take a daily life example to understand what really happens. Suppose you throw one ball every second in your friend's direction. Assume that balls travel with constant velocity. If you are stationary, your friend will receive one ball every second. However, if you are moving towards your friend, he will receive balls more frequently because the balls will be less spaced out. The inverse is true if you are moving away from your friend. So it is actually the wavelength which is affected; as a consequence, the received frequency is also affected. It may also be said that the velocity of the wave remains constant whereas wavelength changes; hence frequency also changes.

Reflection of sound waves

A bell ringing rapidly, a drum moving up and down to the beat and a reverse rating harp string are all examples of objects that make sounds.
In this article let us learn about the reflection of sound waves.

Learning reflection of sound waves

Have you ever shouted into a well or inside an empty hall or in a cave? One can hear their own voice after a short time. Why is it happenning ? It happens because the sound of your voice is reflected from the walls.
We can also try this by shouting  into a well or by the side of a steep hill. This phenomenon of hearing your own sound again is called an echo. The rolling of thunder is largely due to successive reflections from clouds and land surfaces. For the reflection of sound waves, we need an extended surface, or obstacle of large size which need not necessarily smooth or polished.

Learning reflection of sound waves from one medium to other:

Generally, when sound waves in one medium strike a large object of another medium such as air, a wall, etc… , a part of the sound is reflected, and the remainder is sent into the new medium. The speed of the sound in the two mediums and the densities of the medium help to determine the amount of reflection. If the sound travels at about the same speed in both the materials and both have about the same density, little sound will be reflected, instead most of the sound will be transmitted into the new medium. If the speed differs greatly in the two and their densities are greatly different, most of the sound will be reflected.
When you shout at a brick wall most of the sound is reflected, because brick is denser than air.

I like to share this Sound Wave Energy with you all through my blog.

Check my best blog Sinusoidal wave equation.

Sinusoidal wave equation

We found that the disturbance (whether pulse or wave, transverse or longitudinal) depends on both position x and time t. If we call the displacement y, we can write y = f(x,t) or y(x,t) to represent this functional dependence on time and position. In the example of the transverse pulse traveling along a Slinky as pictured in Fig. 17-2,

y(x,t) represents the transverse (vertical) displacement of the Slinky rings from their equilibrium position at given position x and time t. (Alternatively, in the longitudinal wave on the Slinky shown in Fig. 17-1, y(x,t) could represent the number of Slinky coils per centimeter at a given x and t.)
We can completely describe any wave or pulse that does not change shape over time and travels at a constant velocity using the relation y = f(x,t), in which y is the displacement as a function/of the time t and the position x. In general, a wave can have any shape so long as it is not too sharp. The trick then is to find the correct expression for the function, f(x,t).

Fortunately, it turns out that any shape pulse or wave can be constructed by adding up different sinusoidal oscillations. This makes the description of sinusoidal waves especially useful. So, for the rest of this section we'll discuss the properties and descriptions of continuous waves produced by displacing a stretched string using a sinusoidal motion like that shown in Fig. 17-3b. We will start by using the equation we developed in Chapter 16 to describe for sinusoidal motion at the location of a single piece of string. As we did in looking through the slit in Fig. 17-5, we will only let time vary. Next we can consider how to describe a snapshot that records the displacement of many pieces of the string at a single time. Finally, we can combine our snapshot with the results of peeking through a slit to get a single equation that ought to describe the propagation of a single sinusoidal wave. Basically we are trying to describe the displacement y of every piece of the string from its equilibrium point at every time. We are looking for y(x,t).

Looking Through a Slit: Sinusoidal Wave Displacement at x = 0
If we choose a coordinate system so that x = 0 m at the left end of the string in Fig. 17-3b, then the motion at the left end of the string can be described using Eq. 16-5 with the string displacement from equilibrium represented by y(x,t) = y(0,r) rather than by simply y(t). To simplify our consideration we assume that the initial phase of the string oscillation at x = 0 m and t = 0 s is zero. This gives us

where the angular frequency can be related to the period of oscillation by to = 2irlT. Although we use the cosine function in Chapter 16 to describe simple harmonic motion, it is customary to use the sine function to describe wave motion. As we mentioned in Chapter 16, when a sine function is shifted to the left by v/2 it looks like a cosine function. So we can also describe the same string displacement as a function of time at x = 0 m as

Note that using the sine function requires a different, nonzero initial phase angle given by ir!2. If we locate our slit at another nonzero value of x as shown in Fig. 17-5, then the initial phase (at t = 0 s) will often turn out to be different from w/2. In fact this initial phase is a function of the location x of the piece of string we are considering.
A Snapshot: Sinusoidal Wave Displacement at t = 0

Imagine that the man has been moving the end of the string up and down as shown in Fig. 17-36 for a long time using a sinusoidal motion. Instead of looking through a slit as time varies, we take a snapshot of the string at a time t = Os similar to that shown in Fig. 17-36. Then we expect our snapshot to be described by the equation

where A: is a constant and the "initial" phase when x is zero must also be tt!2. Note that if the snapshot of the string were taken at another time, the initial phase would probably be different.

Combining Expressions for x and t
Equation 17-1 describes the displacement at all times for just the piece of string located at x = 0 m. Equation 17-2 describes the displacement of all the pieces of string at t = Os. We can make an intelligent guess that the equation describing y(x,t) is some combination of these two expressions given by
y(x,t) = Ysin[(foc ± cot) + tt/2)], (17-3)

where tt/2 represents the initial phase when x = 0 m and t - 0 s for the special case we considered. 

In general we can describe the motion of our sinusoidal wave with an arbitrary initial phase by modifying Eq. 17-3 to get
 y(x,t) = Ysin[(fct ± tot) + 4>q)] (sinusoidal wave motion, arbitrary initial phase), (17-4)
where <f>₀ is the initial phase (or phase constant) when both x = Om and t = Os. The ± sign refers to the direction of motion of the wave as we shall see in Section 17-5. In cases where the initial phase is not important, we can simplify Eq. 17-3 by choosing an initial time and origin of the x axis that lies along the line of motion of the wave so that <t>o = 0 rad.

Atomic number 28

Introduction :
d – block elements are also called transition elements. Transition metals are those elements which contain partially filled d- sub shells either in their atoms or in their common oxidation states. Nickel is a silvery white metal and takes a high polish. Nickel is hard malleable, ductile, ferromagnetic and fair conductor of heat and electricity. Atomic number 28 belongs to Iron – cobalt group. 'Ni' is commercially obtained from pentlandite and pyrrholite of the subdury region of Ontario.
Characteristics of Atomic number 28:

• The element in the periodic table which has atomic number 28 is Nickel. 
• 'Ni' has mass number 58.6934. 
• 'Ni' has oxidation state of 2 and 3. 
• Atomic number 28 has electronic configuration [Ar]4s²,3d⁸. 
• Nickel has chemical formula ‘Ni’.
• Atomic number 28 belong to Period 4 and Group 10.
• 'Ni' belongs to d - block elements. 

Properties of atomic number 28:

• Oxidation states of 'Ni': The elements exhibit variable oxidation states depending on the number of electrons participating in the bonding. Ni has oxidation states 2 and 3. 
• Colors of transition metal ions:  When the visible light of wavelength 400 to 700 nm is passed through a solution of a transition metal compound, it absorbs a particular frequency of radiation and transmits the remaining colors.
• Magnetic properties of 'Ni':  The paramagnetic behavior is highly pronounced in case of iron, cobalt and nickel. Hence they are called ferromagnetic substances.
• Formation of complexes by 'Ni': These metal ions have a great tendency to combine with a large number of molecules or ions called ligands and form complexes. The bond between a metal ion and a ligand is coordinate. Hence, complex compounds are also known as coordination compounds.
• Chemical reaction: Nickel carbonyl can be oxidized, Chlorine oxidizes nickel carbonyl into NiCl₂, releasing carbon monoxide gas.

               2Ni(CO)₄  +  2ClCH₂CH=CH₂    ====>  Ni₂(μ-Cl)₂ (η³-C₃H₅)₂  +  8CO

• Catalytic properties of transition metals: Many transition metals and their compounds are used as catalysts in several inorganic and organic chemical reactions. Nickel catalyst is used in the hydrogenation of oils.                                                                                       Oils +  H₂    →  Fats
• Isotopes of Nickel: ⁵⁸Ni, ⁶⁰Ni, ⁶¹Ni, ⁶²Ni and ⁶⁴Ni are five stable isotopes of Nickel. ⁵⁸Ni being the most abundant.  ⁶²Ni is one of the most stable nuclides.
• Reaction of 'Ni' with halogens:

             Ni_(s)    +    cl_2(g)   ====>    NiCl_2(s)     (Yellow)
             Ni_(s)    +    Br_(g)    ====>    NiBr_2(s)     (Yellow)
             Ni_(s)    +    I_2(g)     ====>    NiI_2(s)       (black)

• Reaction of Nickel with acids:

             Ni_(s)     +   H₂SO_4(aq)  ====>  Ni²⁺_(aq)  +  SO^2-_(aq)  +  H_2(g)  

• Reaction of Nickel with air:

    Nickel metal does not react with air under normal condition. Finely divided Nickel metal readily reacts with air. At higher temperatures, the reaction appears not to proceed to completion but give some nickel(ll) oxide.
            2Ni_{(s)    +}    O_2(g)    ====>  2NiO_(s)                                                                                        

Uses of Atomic number 28:

• It is used in many industrial and consumer products, including stainless steel, magnets, coins, rechargeable batteries, electric guitar strings and special alloys. 
• 'Ni' is used in plating and as a green tint in glass. 
• Atomic number 28 is a metal alloy and its chief use in the nickel steels and nickel cast iron. 
• 'Ni' is widely used in many alloys, such as nickel brasses and nickel bronze. etc.
• Raney Nickel, a finely divided form of metal is alloyed with aluminum which absorbs hydrogen gas. 

Isotopes of carbon

Introduction to Carbon:
The element with atomic number 6 in the periodic table refers to Carbon which belongs to group 14.  This element is widely distributed in most of the planets.  Carbon is a nonmetallic and tetravalent element and it forms covalent bonds.  The common oxidation states of carbon are +4 in organic compounds and +2 in carbon monoxide and transition metal complexes.  Diamond is the hardest material of carbon where as ceraphite is the softest material.   Mainly there are three allotropes of carbon fullerenes, diamond and graphite and some other forms are ionsdaleite, buckminsterfullerene and also carbon nanotube.
Allotropic forms of element with atomic number 6:
Fullerene                                 
     

Isotopes of carbon:

Among seven isotopes carbon has two stable isotopes. Those two isotopes of carbon are carbon-14 which is a naturally occurring radioisotope, it is used in carbon dating. Carbon- 13 which forms only 1.07%. Carbon-8 is the shortest lived isotope. Carbon-19 is the isotope which exhibits nuclear halo.
Compounds of carbon:
In atmosphere, carbon is found in combination with other elements like oxygen, hydrogen etc.  For ex: carbon dioxide, carbon monoxide, carbon disulfide, carbon tetra fluoride, chloroform, carbon tetrachloride, methane, ethylene, acetylene , benzene , acetic acid its derivatives.
Organic compound containing carbon (carbon tetra fluoride):

Properties of carbon:

• Atomic mass: 12
• Appearance: solid
• Electronic configuration: 1s² 2s² 2p² or [He] 2s² 2p²
• Density: 1.8-3.5g/cm³
• Melting point: 3915K
• Oxidation states: +4, +2
• Vander walls radius: 170pm

Applications of carbon:
1. Without carbon life could not exist because it plays an important role.
2. Carbon-14 which is naturally occurring isotope is used in carbon dating.
3. Allotrope of carbon (graphite) is used in pencil leads.
4. Hydrocarbons in combination with carbon are used in the production of gasoline and kerosene.
5. In nuclear reactors, it is used as neutron moderator.
6. It is (charcoal) used in artwork as a drawing material.
7. Cellulose is a natural carbon containing polymer used in maintaining the structure of plants.
8. Synthetic carbon is used in the production of plastics
9. It is used in diamond industries.

10. Now a day’s used in the production of carbon nanotube.

Atomic structure of Iron

Introduction 
There is a need at all levels of the study of science to present the correct picture of any substance. Here is an attempt to present the correct picture of the Iron atom, which is best described in terms of its orbital structure and orientation.
Occurrence: Iron is one of the more common elements on Earth. It makes up about 5% of the Earth's crust. Most of this iron is found in various Iron oxides, such as the minerals; Hematite, Magnetite, and Taconite. The earth’s core consists largely of a metallic iron-nickel alloy. Although rare, these are the major form of natural metallic iron on the earth's surface.

Atomic structure of Iron

The atomic number of Iron element is 26, which indicates the presence of 26 protons and 26 electrons in its atom.
Naturally occurring Iron consists of four isotopes:
a) 5.845% of radioactive ⁵⁴Fe (half-life: >3.1×10²² years) Number of neutrons, n = 28.
b) 91.754% of stable ⁵⁶Fe, n = 30.
c) 2.119% of stable ⁵⁷Fe, n = 31.
d) 0.282% of stable ⁵⁸Fe, n = 32.
E) ^{6 0}Fe is an extinct radionuclide. n = 34.
Nucleus:
The nucleus of Iron (Fe) atom is made of 26 protons and 30 neutrons (is most abundant).  The total number of electrons in Iron atom is 26, which is equal to that of protons, which maintains the neutrality of the atom.   But, Iron has got two stable oxidation states, +2 and +3.
Electron distribution:
The ground state electronic configuration of Iron atom is given by:
  (1s²)    (2s²2s⁶)    (3s²3p⁶3d⁶)    (4s²)

As it is seen in the electronic configuration, there are four shells available in the Iron atom.
The first energy level - K shell (n=1) - consists of 2 electrons in s-orbital, spherical in shape.
The second energy level - L shell (n=2) - consists of 8 electrons, out of which 2 in s-orbital and 6 in p-orbital (dumb bell in shape).
The third energy level - M shell (n=3) - consists of 14 electrons, out of which 2 in s-orbital and 6 in p-orbital (dumb bell in shape) and 6 in d-orbital (double dumb bell in shape).
The fourth energy level - N shell (n=1) - consists of 2 electrons in s-orbital.
Whenever Iron is oxidized, the electrons are removed from the outermost shell.  An octet electronic configuration is attained when +3 state is reached, which is half filled d-orbital state. So, Fe⁺³ is most stable state of Iron.
 (1s²)    (2s²2s⁶)    (3s²3p⁶3d⁵)    (4s⁰)
Iron is more stable, when it is oxidized.  So, it has a very high tendency to liberate electrons and get converted into Ferric ion, which is reasonable by its atomic structure. This is the reason why Iron gets rust.

Significance of atomic structure

The knowledge of the atomic structure is very useful in describing the chemical as well as physical properties associated with the element. Precisely, it can be said that the secrete of life is hidden in the atomic structure.

Atomic number 27

Introduction :
The word ‘atomic number 27’ refers to Cobalt which is having the atomic number 27. The number of protons in a nucleus determines the identity of the atom is called as ‘atomic number’.  It is represented by the letter Z. For example a hydrogen atom contains one proton, so the atomic number of hydrogen is one (Z=1) similarly the atomic number of cobalt is 27 (Z=27).
Swedish chemist Georg Brandt (1694–1768) is credited with discovering cobalt (atomic number 27) circa 1735. The word cobalt (atomic number 27) is derived from the German kobalt, from kobold meaning "goblin", a term used for theory of cobalt (atomic number 27) by miners.
Occurrence:
Cobalt (atomic number 27) occurs in copper and nickel minerals and in combination with sulfur and arsenic in the sulfidic cobaltite minerals.

Method of Extraction:

1. Froth flotation process:
It is a process for selectively separating hydrophobic materials from hydrophilic. This is used in several processing industries.
Froth flotation process is based on the principle that the metallic sulphide particles of the ore are preferentially wetted by oil and gangue particles by water.

                                                                                                 Froth flotation process
In this process, the finely divided ore is added to a large amount of water contained in the tank. Certain oils like pine oil, eucalyptus oil etc, are added.  A current of compressed air is circulated through the water in the flotation tank. The metallic ore particles are preferentially wetted by the oil froth and rise to the surface along with the froth. The gangue material is wetted. Hence it settles at the bottom.
2. Roasting process:
It is a process in which the ores are heated to a high temperature below their melting point in the presence of excess of air. During this process, the moisture escape and the impurities like sulphur, arsenic, etc are oxidized to their volatile oxides. The messes become porous. It is generally carried out in a reverberatory furnace.
                        S +O₂ → SO₂↑
                         As  +  O₂  →  As₂O₃↑
       Sometimes, the sulphide ore are oxidized to sulphates
                   2ZnS + 3O₂ → 2ZnO + 2SO₂

     Roasting process

Applications of Cobalt (atomic number 27)::

• It is used in batteries.
• It is used as catalysts.     
• It is used as a pigment and coloring.
• It is used in a biological role.
• It is used for electroplating.
• It is used for electroplating due to its appearance, hardness, and resistance to oxidation.

Atomic and ionic radii

Introduction :

Atomic radii are also known as covalent radius.  Atomic radii describes the size of the atom of an element in its elementary state or in covalently linked molecule. It is measured in terms of picometers or Angstroms. It is the distance from the nucleus to the boundary of the surrounding cluster of electrons.

The bond length of a covalent linkage is the distance between the nuclei of the two bonded atoms. The bond length can be measured by X-diffraction method.

The internuclear distance between two unlike atoms in a covalent bond is the sum of the atomic radii of the two. For example, the covalent radii of hydrogen and chlorine are 0.037 nm and 0.099 nm respectively. Hence the internuclear distance in HCl molecule is 0.037 nm + 0.099 nm = 0.136 nm.

The atomic size will generally decrease from left to right in a period. This is because, when we proceed from one element another in a period, this results in a greater pull on electrons towards the nucleus. In a given period, the alkali metal atom of group 1A is the largest and the halogen atom in 7A is the smallest.

Ionic radii:

The ionic radii may be defined as the distance between the nucleus of an ion and the point up to which the nucleus has influence on its electron cloud.
The concept of ionic radii was developed independently by Victor Goldschmidt and Linus Pauling in 1920.
If ions in a crystal are regarded as spheres, the internuclear distance between two ions is equal to the sum of the radii of the ions. The internuclear distance is measured by X-ray analysis of ionic compounds. Knowing the radius of one ion, that of the other is calculated.
The interionic distance in potassium chloride crystal is 0.314 nm= r K⁺ + r Cl^- = 0.314 nm where r K⁺ and r Cl^- are the radii of potassium ion and chloride ion respectively. It is found that r K⁺ = 0.314 nm   Therefore r Cl^- = 0.314-0.133 = 0.181 nm.

Atomic scale

Introduction:- Many chemical phenomena occur around us and these are explained on the basis that matter is made up of molecules. Molecules,in turn, are made up of atoms. daltons atomic theory  that an atom is an indivisible particle.  but reaserch findings of the last hundred years on the study of gases in particular and then of solids,led to the discovery of the fundamental particles,viz., electron,proton and nutron. various atomic models  to indicte the arrangement of these fundamental particles in an atom were proposed. an atom consists of a nucleus at its center. protons and nutrons are present  in the nucleous while electrons revolve aroud the nucleous. the charges and masses of  the fundemental particles are listed below.  
         It is especially focus on the properties. There are two kinds of atomic units.

1. Hartree atomic units.
2.  Rydberg  atomic units.   The numerical values of the follwing four fundemental physical constants are all units by definition                                                             electron mass                                                                                                                                                                                                                       elementary charge                                                                                                                                                                                                              reduced plank's constant                                                                                                                                                                                                    columbs constant.

Atomic number:-

 Every atom of a given element consists of a definite number of electrons. this number is called the atomic number of the element. it is denoted by Z.Moseley proposed that a simple relation between the frequencies of the charecteristic X-rays given by element and its atomic number.When a meterial target,called anticathode,is placed in the path of cathode rays in a discharge tube,X-rays charecteristic of the metal are emitted from the metal target.

MASS NUMBER:-

 The total of the numer of protons and nutrons present in an atom  is reffrred to as the mass number(A) of the atom of that element.This is mathematically written as
                                              A=Z+N.
                                where Z is the atomic number and N is the number of nutrons.Hence mass number is always positive.Atoms ofan element which differ in their mass but have the same atomic number are  called isotopes of that element.The isotopes of an element thus have the same number of protons but differ in the number of nutrons present in them.

Fundamental atomic units 

Fundamental Atomic Units
Dimension	Name	Symbol	Value in SI units
mass	electron rest mass	me	9.1093826(16)×10−31 kg
charge	elementary charge	e	1.60217653(14)×10−19 C
angular momentum	Reduced Planck's constant	h-=h/2π	1.05457168(18)×10−34 J·s
electric constant	Coulomb force constant	1 / (4πε0)	8.9875517873681×109 kg·m3·s-2·C-2

Atomic models:-

Rutherford model:-
                                  
Rutherfords experiment showed that most of the space in an atom is empty and all the mass of the atom and its positive charge are concentrated at the center of   the atom which is spherical in shape.The center point of the positive charge is called "atomic nucleus". The electrons revolve round the nucleus in circular orbits just as planets revolve round the sun.
This model failes to explain two important facts:

• As per the law of electrodynamics ,a charged particle like electron in circular motion around the opposite charge should continously lose energy by emission and spiral down into the nucleus due to nucleus attraction.If this happens ,the atom should collaps which is not happening.

If the electron in an atom continuosly radiates energy ,the spectrom of that element should be continous spectrom.But the eseatoms give rise to discontinuous line specta with we defined lines.        

Neon atomic symbol

Introduction to Neon:

Neon's discovery happened in 1898 by Ramsay & Travers. It is one of the rarest gases present in atmosphere to the extent of 1 part in 65,000 in the air. It is first obtained by air liquefaction and then through fractional distillation for separation of other gases. It is part of Group 18 elements in periodic table.

Properties and application of Neon:

Neon is a compound mixture of 3 isotopes. Apart from this, there are six other unstable isotopes. Though Neon is an inert element, it is found to have produced a compound in reaction with fluorine. Some of the ions of Neon are used in the study of mass spectroscopy and optical spectroscopy. It is used as a refrigeration compound in place of Helium as it costs less. At normal conditions of voltage & current, Neon displays intense behavior compared to all other inert gases.

Neon has an Atomic Mass of 20.1797 amu. Its melting point is supposed to be -248 °C.  Its boiling point is considered-246 °C.  Its crystal structure is in the form of a face-centered cube. Its density is supposed to be 0.9002 g/cm3

Neon is used in signboards as it appears very bright and reddish orange in color. Neon lights are used during foggy seasons as it can penetrate fog.  It is used in vacuum tubes, television tubes and in lasers. Liquid neon is used as a cryogenic refrigerant. But liquid neon is very expensive compared to liquid helium.

Neon belongs to p-block of noble gases in the periodic table. It is supposed to be the most inert element. It is believed by scientists that neon reacts with fluorine to produce different compounds. On reaction with water, neon produces unstable hydrate. Neon is produced in huge quantities during volcanic eruptions.  It combines with helium  gas to produce neon-helium lasers.

Conclusion:

Neon being the fifth most abundant element has variety of applications. It is also the second lightest gas and inert in nature which helps us in various applications.

Atomic structure protons

Introduction 
It is very essential to know the composition of matter to determine both of its physical and chemical properties. Atomic theory is a theory of the nature of matter. The composition of  matter is discrete units called atoms, as opposed to the notion that matter could be broken into any arbitrarily small quantity. It began in ancient Greece and India as Philosophical science and the field of chemistry showed that matter indeed behaves as if it is made up of particles.
John Dalton, in 1808 proposed a theory in which he stated that matter consists of very small indivisible particles called atoms. The word "atom" (Greek adjective atomos = uncut, 'indivisible’) was applied to the basic particles. The atomic structure itself was imagined to be the indivisible particle. However, around the 20th century, through various experiments with electromagnetism and radioactivity, physicists discovered that the atomic structure is actually an aggregate of various subatomic particles.  Since atoms were found to be divisible, physicists introduced the term "elementary particles" to describe indivisible particles. This field of science was believed to be the basis to discover the true fundamental nature of matter.

Fundamental particles – Constituents of atoms

J J Thomson studied the conduction of electricity by gases at low pressure. A kind of negatively charged particles were found to be emitted by the cathode. These were called ‘cathode rays’. The properties of these particles were identical for all gases.  This indicated that these particles existed in all substances.  These particles were called ‘electrons’ and are represented as e^—.
The ratio of charge (e) of the electron to its mass (m) was found to be 1.76x 10¹¹ coulomb per kilogram. Since an atomic structure is neutral, it should contain as much positive charge as negative charges carried by all electrons.
The lightest atom known is the hydrogen atom. It contains an electron and a positively charged particle. The positively charged particle obtained by removing the electron from a hydrogen atom was called a proton. It is represented as ₁p¹.
Mass of a proton is found to be 1.672 x 10^-27 kg.
Its charge is +1.602 x 10^-19C.
In 1932, James Chadwick discovered a new particle called a ‘neutron’, when he bombarded a thin beryllium foil with alpha (α) particles.  The electrons, protons and neutrons are the fundamental particles present in atomic structure.

Particle	Mass		Charge Unit = 1.602x10-19C
	kg	a.m.u
Electron	9.109x10-31	0.0005486	-1
Proton	1.672x10-27	1.007277	+1
Neutron	1.675x10-27	1.008665	0

Atomic Number vs Atomic Mass

After the discovery of the neutrons, it has been established that the nucleus contains two types of particles namely protons and neutrons. The protons are responsible for the positive charge of the nucleus.
The number of protons present in the nucleus of an atom is known as atomic number (Z) of the element.  However, as the atomic structure is neutral in nature, it should contain an equal number of positive charges and negative charges. Hence, atomic number is also equal to the number of electrons present in the atom of the element.
The sum of the number of protons and neutrons present in the nucleus of the atom is called mass number (A).  The protons and neutrons are called ‘nucleons’.
Thus, Z = atomic number = no. of protons.
         A = mass number  =   no. of protons + no. of neutrons
        Therefore, A-Z = no. of neutrons.

Light diffraction pattern

 Light is a wave.  It is the fact that light is a wave that causes it to make a diffraction pattern.  The best way to understand why this works is to do a similar experiment with water in a bathtub.  First side with a small gap in between.  The idea is to block water from moving from one side of the tub to the other, except via the small gap, which should be a couple of inches wide.  Plywood also works great.  Then you can tap the surface of the water with one hand to create waves.  You can also try gently sloshing your hand back and forth.  As the waves go through the opening in the wood, they will create exactly the same types of patterns that light does.  The only difference is that the water will have a wavelength of a few centimeters, whereas light has a wavelength of only a half of a thousandth of a thousandth of a meter (really small!)

Light diffraction pattern

If you tap the water faster, you will see that the wavelength of the water is shorter. If you tap the water slowly, then you will see that the wavelength of the water is longer. Then, what you do is you look at the water pattern that bounces back from the far end of the bathtub. You will see diffraction pattern. It won't glow like light does, but it will have a similar kind of shape, at least until the water bounces around the tub a few times and the waves get confused.
If you do this experiment for a bit, you will notice that the opening is spreading the wave out. But the pattern that is generated depends not only on how the wave is spread out, but also the shape the wave had before it spread. This is because the pattern is caused by some parts of the wave interfering with other parts. That is, at one point the wave is higher than the other. When those two parts touch, then the wave disappears. But when two high points touch, they make a very high point.
 

Fresnel diffraction pattern

Introduction :
Diffraction in the case of waves refers to their bending round the obstacles. The diffraction phenomena is more predominant when the size of he obstacle is small and is comparable with the wavelength of he incident light.

Fresnel diffraction:  In this approach source of light, the obstacle and the screen are relatively close and are at finite distances. The waves are spherical or cylindrical. The wave fronts that reach the obstacle and proceed on to illuminate the screen at any point on it are not plane ones; i.e., the rays involved are not parallel. Therefore Fresnel type of investigation of diffraction is a general one. No lenses are required to observe the diffraction pattern.
Spherical or cylindrical wave fronts are divided into large number of zones, the wavelets emanating from which superimpose to yield the intensity distribution on the screen. The amplitudes and relative phases of all the zones are taken into account to calculate the intensity distribution. So, mathematical treatment for  Fresnel diffraction is  quite complicated.

Fresnel Zones

In the above figure , S is a point source. It ends spherical wavefront in forward direction . Let the radius of the spherical wave front be 'a' after time 't'. The effect of this wavefront at P is determined by dividing the wavefront into annular or ring  shaped zones. The distances from the edges of two successive zones to point P differ by    `(lambda)/(2)`  . The annular zones having this property are known as Fresnel zones. The distance of the zeroth zone from point P is b₀ .
The first zone is at a distance       b₁    =    b₀    +    `(lambda)/(2)`.
The second zone is at a distance  b₂   =   b₀   +    `(2lambda)/(2)` 
The third zone is at a distance        b₃    =    b₀  +  `(3lambda)/(2)`
The m^th  zone is at a distance         b_m  =  b₀  +   `(mlambda)/(2)`

Conclusion to fresnel diffraction pattern:

These zones are also known as half period zones as the path difference of  `(lambda)/(2)`   corresponds to a phase difference of 180⁰  which in turn corresponds to half a period. The areas of Fresnel zones are approximately the same when m in not too great and hence an equal quantity of light energy will be transmitted through each of the zones.

edge diffraction

"Effectively, what is happening is the measurement circumstance is changing from free-field (4-pi) to half-space (2-pi) as the frequency increases and the wavelength decreases to something approaching the overall area of the baffle. This creates a response ‘step’ of about 6 dB, the frequency of the step being dependent upon the baffle area. The effect is most pronounced on-axis, as the baffle causes a beaming phenomenon like a [sic] -automobile headlight reflector."

While what is said is mostly correct, it does make one wonder:
    * How does the wave know how large the baffle is?
    * Why 6 dB?
    * Are there any other effects?
    * Are two baffles equivalent if they have the same area but vastly different dimensions, e.g. a 30 cm X 30 cm baffle vs. a 5 cm X 180 cm baffle?
In my opinion, the key to developing an intuitive or quantitative understanding of cabinet edge diffraction is by studying it primarily the time domain and resorting to the frequency domain only when absolutely necessary. Once the effect is understood in the time domain, it is easily translated to the frequency domain by using the Fourier transform.

Imagine an ideal point source hemispherical radiator mounted on the exact center of the end of a long cylindrical solid. Such a radiator will exhibit a hemispherical radiation pattern that is independent of frequency. In addition, let us suppose it exhibits minimum phase characteristics and has flat frequency response over all frequencies. If we now excite the radiator with a discrete-time impulse of duration 0.025 mS, it will move in response to the impulse and stimulate a hemispherical acoustic impulse moving away from the point source at the speed of sound. Since the radiator is perfect, the acoustic impulse will have a shape identical to the discrete-time impulse.

Everything is very easy to visualize until the edge of the impulse reaches the edge of the cylinder. When the impulse reaches the edge of the cylinder, there is a sudden loss of support as the impulse is now free to radiate behind the face of the cylinder, not just in front of it. In this way, the impulse ‘diffracts’ or ‘scatters’ behind the face of the cylinder. Interestingly, this scattering is frequency independent, but angle dependent. So if we measured the acoustic signal behind the cylinder, we would find that it is an impulse identical to the one formed by the radiator but somewhat diminished in magnitude. Now, few of us set up our favorite listening spot behind our loudspeakers, so it makes sense to try to understand what happens in front of the loudspeaker. Due to the loss of support at the edge of the cylinder, the impulse will partially collapse as some of the pressure ‘leaks’ backwards and this causes a secondary impulse to scatter in the forward direction. Like the impulse scattered behind the cylinder, the forward-scattered impulse will also be frequency independent but angle dependent. Unlike the backward-scattered impulse, though, the forward-scattered impulse will have the opposite polarity as the original impulse. Now imagine a microphone located in front of and on the cylinder axis, far away from the cylinder. What will the microphone measure? First, the impulse from the radiator will be picked up then, delayed by an amount equal to the radius of the cylinder divided by the speed of sound, the forward-scattered impulse will be measured.

Now, as stated previously, neither the forward nor the backward-scattered impulses display frequency dependence. However, taken together, the direct and forward-scattered impulses will result in frequency dependence through constructive and destructive interference. Figure 1 and Figure 2 show the time and frequency domain behavior of the impulse as measured by a microphone located in front of and on the cylinder axis, far away from the cylinder. The radius of the cylinder is 1 meter and the radiator is mounted in the center of the baffle.

anomalous diffraction

An approach to solving the phase problem in protein structure determination by comparing structure factors collected at different wavelengths, including the absorption edge of a heavy-atom scatterer. Also known as multiple-wavelength anomalous diffraction or multiwavelength anomalous dispersion.

The 'normal' atomic scattering factor f0 describes the strength of X-rays scattered from the electrons in an atom assuming that they are free oscillators. Because the scattering electrons are in fact bound in atomic orbitals, they act instead as a set of damped oscillators with resonant frequencies matched to the absorption frequencies of the electron shells. The total atomic scattering factor f is then a complex number, and is represented by the sum of the normal factor and real and imaginary 'anomalous' components:
f = f0 + f' + if''.

A consequence of the wavelength dependence of anomalous dispersion is that the structure factors will be significantly perturbed, both in amplitude and in phase, by resonant scattering off an absorption edge. Hence, if diffraction is carried out at a wavelength matching the absorption edge of a scattering atom, and again at a wavelength away from the absorption edge, comparison of the resulting diffraction patterns will allow information to be extracted about the phase differences. For suitable species, the effect is of comparing a native molecule with a strictly isomorphous derivative (and in such cases phase determination and improvement are similar to isomorphous replacement methods).

The technique, often using tunable synchrotron radiation, is particularly well suited to proteins where methionine residues can be readily replaced by selenomethionine derivatives; selenium has a sufficiently strong anomalous scattering effect that it allows phasing of a macromolecule.
The method of Multiple wavelength Anomalous Diffraction (MAD) is most applicable to problems where there are no available separate native protein diffraction data, e.g. for metallo-proteins where a heavy atom is already bound in the native structure, or to cases where derivative crystals are non-isomorphous and are therefore unsuitable for phasing via isomorphous replacement.

I like to share this diffraction grating definition with you all through my blog.

Check my best blog Diffraction grating.

Diffraction grating

Introduction :
In optics, a diffraction grating is an optical part with a periodic structure, which splits and diffraction light into some beams travelling in different directions. The directions of these beams depend on the spacing of the grating and the wavelength of the brightness so that the grading acts as dispersive element. Because of this, diffraction gradings are generally used in monochromators and spectrometers.

Diffraction grating definition

A photographic slide with a well model of black lines forms a simple grating. For useful applications, diffraction gradings usually have grooves or rulings on their outside rather than dark lines. Such gradings can be moreover transparent or reflective. Gratings which change the phase rather than amplitude of the incident light are also formed, frequently using holography.
                                            (Source : Wikipedia)

Theory of operation

The connection between the grading spacing and the angles of the event and diffracted beams of light is known as the grating equation. According to the Huygens–Fresnel standard, each point on the wave front of a propagating signal can be measured to act as a point source, and the wave front at any following point can be found by calculation together the contributions from every of these individual position sources.
                                                              (Source :Wikipedia)
An idealized diffraction grating is measured here which is made up of a position of long and considerably narrow slits of spacing d. When a level surface signal of wavelength λ is incidence usually on the grating, each slit in the grading acts as a point source propagate in all directions. The light in a exacting direction, θ, is made up of the interfering components from each slit.This occurs at angles θ_m which satisfy the connection dsinθ_m/λ=|m| where d is the division of the slits and m is a digit. Thus, the diffracted light will have maxima at angles θ_m given by

It is basic to show that if a plane wave is event at an angle θ_i, the grating equation becomes

Gratings can be made in which a mixture of the incident light are modulate in a regular example

• Transparency (transmission amplitude gratings)
• Reflectance (reflection amplitude gratings)

• Refractive index (phase gratings)
• Direction of optical axis (optical axis gratings)

The grating equation applies in all these cases.a


Check my best blog Uses of Carbon Compounds.

Uses of Carbon Compounds

 The study of carbon compounds is called organic compounds.Carbon compounds are covalent compounds having low melting points and boiling point. It shows that forces of attraction between their molecules are not very strong. Most of the carbon compounds are non-conductors of electricity. They do not contain ions. Carbon compounds occur in all living things like plants and animals. The number of carbon compounds already known at present is more than 5 million. Many more new carbon compounds are being isolated or prepared in the laboratories everyday. In fact, the number of carbon compounds alone is much more than the number of compound is all other elements taken together. One reason for the existence of a large number of carbon compounds is that carbon atoms can link with one another by means of covalent bonds to form long chains of carbon atoms. This property is called Catenation. Carbon-carbon bonds are strong, and stable. This property allows carbon to form an almost infinite number of compounds; in fact, there are more known carbon-containing compounds than all the compounds of the other chemical elements combined except those of hydrogen.

Uses of Carbon Compounds.

The compounds of carbon with hydrogen are called hydrogen. In addition to hydrogen, carbon compounds may also contain other elements such as oxygen, halogens nitrogen and sulfur. This increases the number of carbon compounds even further. Today, millions of carbon compounds containing a variety of other elements are in our daily life. For example, we use soap for taking bath and detergent powders for washing clothes. The soaps and detergent which are used as cleansing agents in our daily life are carbon compounds. In fact, carbon compounds are being used on our everyday life in the form of medicines, plastics, textiles, dyes, food preservatives, soaps and detergents, sources of energy and many other things.

Stability of Carbon dioxide

Introduction : 

A Scottish chemist and physician JOSEPH BLACK discovered Carbon Dioxide, in 1754. Carbon Dioxide is very popular in Green house effect produced due to human activities, primarily by the combustion of fossil fuels. Carbon Dioxide can be easily found in the earth’s atmosphere, as the main source of carbon dioxide is humans and plants.

About Carbon Dioxide

Carbon Dioxide is a chemical compound composing of two oxygen atoms, which are covalently bonded to the single carbon atom.The chemical formula of carbon dioxide, is CO_2. Carbon dioxide generally exists as gas at room temperature. Carbon Dioxide forms 0.039% of the atmospheric air. Carbon dioxide is also present in liquid and solid forms under some special conditions. It can be solid when temperature will be as low as -78 ⁰C. Liquid carbon dioxide mainly exists when it is dissolved in water. Carbon dioxide is one of the gases, which is easily dissolved in water, when pressure is maintained. Carbon dioxide on leaving water gives bubbles

Properties of carbon Dioxide and its Stability

Carbon dioxide can be found mainly in air, but also in water because of carbon cycle. Some of the important properties of Carbon dioxide are as follows:

• Plants use it during the photosynthesis to make sugars, which will be consumed by them for their essential growth and development.
• It is generated as a byproduct in the combustion of fossil fuels and in the burning of vegetable matter.
• Amount of CO₂ present in the atmosphere changes due to the effect of plant growth.
• CO₂ has no liquid state below 5.1 atm pressure.
• In its solid-state carbon dioxide is known as Dry Ice.
• CO₂ is an acidic oxide; as a result, it turns litmus from blue to pink.
• CO₂ is an anhydride of Carbonic acid.
• CO₂ is toxic in higher concentrations, as a result it make people drowsy
• CO₂ is a colorless and odorless gas having acidic odor.
• It acts as an asphyxiant and an irritant.

The main reason for the stability of carbon dioxide in atmosphere is the carbon cycle, in which human, animals exhale carbon dioxide, and this CO₂ is being taken by plants during day to prepare their food essential for their growth, while in night plants also produce carbon dioxide. This entire process makes the carbon dioxide stable in the atmosphere.

Summary on Stability of Carbon dioxide

Carbon Dioxide is an organic compound used widely in commercial purposes. As it is used in the production of lasers and even in the soft drinks. This compound exists naturally in the earth's environment. Scientists became concerned by the fact that humans are producing too much carbon dioxide for plants to process, if it will continue to follow then it will lead to serious environmental problems.

Thermal conduction

Heat can be transferred from one place to another by three different methods, namely Conduction, Convection and radiation. Conduction usually takes place in solids, Convection in fluids (liquids and gasses), and no medium is required for radiation.

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Conduction is a mode of heat transfer between two neighboring molecule due to the difference in temperature. It occurs in all forms of matter (solids, liquid and gas).Ex. - conduction of heat through metals

Convection is a mode of heat transfer due to the actual movement of molecule and it occurs in fluids only .E g.: - wind is convectional mode of heat transfer

Radiation is a mode of heat transfer which requires no medium for the heat transfer. E.g. sun radiates heat.  

Thermal conduction
Conduction

Conduction is the process in which heat is transmitted from one point to another through the substance without the actual motion of the particles. When one end of a metal bar is heated, the molecules at the hot end vibrate with higher amplitude and transmit the heat energy from one particle to the next particle. However, the particles remain in their mean position of equilibrium. The process of conduction is prominent in the case of solids.

If one end of a metal rod is placed in a stove, the temperature of the other end gradually increases. Here heat is transferred from one end to the other end due to the molecular collisions and the process is called heat (thermal) conduction. Here the average position of a molecule does not change and hence, there is no mass movement of matter.

The ability of a material to conduct heat is measured by thermal conductivity of the material. If ΔQ amount of heat crosses through any cross- section in time Δt, ΔQ/ Δt is called the heat current. It is found that in steady state it is proportional to the area of cross section A, proportional to temperature difference(T1-T2) between the ends and inversely proportional to the length x . Thus,

ΔQ/ Δt ~ A (T1- T2) / x                                                                   ΔQ/ Δt = K A (T1- T2) / x

                                                                                                             Here K is a constant for the material of the slab and is called the thermal conductivity of the material.

In general, solids are better conductors than liquids and liquids are better conductors than gases. Metals are better conductors than non-metals. This is because; in metals we have a large number of 'free electrons' which can move freely any where in the body of the metal. These free electrons help in carrying the thermal energy from one place to another in a metal. 

Convection

Convection

In convection heat is transferred from one place to another by actual motion of heated material. The process of convection is prominent in the case of liquids and gases. Land and sea breezes and trade winds are formed due to convection. Convection plays an important role in ventilation, gas filled electric lamps and heating of buildings by hot water circulation.

In a hot air blower, air is heated by a heating element and is blown by a fan. The air carries the heat wherever it goes. If the material moves due to the difference in density, it is called natural or free convection.

             The main mechanism for heat transfer inside a human body is forced convection.  Heat serves as the pump and blood as the circulating fluid. Heat is lost to the atmosphere through all the three processes conduction, convection and radiation. The rate of loss depend on clothing, the tiredness, air current, humidity  and several other factors. The system, however, transports the just required amount of heat and hence maintains a remarkably constant body temperature.

Radiation

Radiation

The process of radiation doesn’t need a material medium for heat transfer. Energy is emitted by a body and this energy travels in the space just like light. When it falls on a material body, a part is absorbed and the thermal energy of the receiving body is increased .The energy emitted by a body in this way is called radiant energy, thermal radiation or simply radiation .The heat from the sun reaches the earth by this process , traveling millions of kilometers of empty space.

Electrochemical cell

Introduction :
Electrochemical is the learning of production of electricity from energy released during the spontaneous chemical reaction and the use of electrical energy to bring about non spontaneous chemical transformation. Important equally of the abstract and useful consideration. A large number of metal, sodium hydroxide, chlorine, fluorine and many other chemical are produce by electrochemical methods. Batteries and fuel cells converted chemical energy into electrical energy and are used to a large scale in various instrument and devices.

Daniel cell of electrochemical cells:

An electrochemical cell is used to convert the electrical energy to the chemical energy.We had studied the construction and functioning of Daniell cell. This group converts the chemical energy unconventional through the redox reaction.
Zn(s) +Cu²⁺ (aq)   `harr`  zn²⁺ (aq) +Cu(s)
 
To electrical energy and has an electrical potential equal to 1.1 V when concentration of Zn2+ and Cu2+ ions is unity such a device is called a galvanic or voltaic cell. If an internal opposite potential is applied in the galvanic cell and decreased slowly, we find that the reaction continues to take place till the operating voltage reaches stops altogher and no current flows through the cell.
                Any additional enlarge in the external possible gain again create the response but in the opposite direction. It now functions as an electrolytic cell, tool for using electrical energy to carrying non spontaneous chemical reaction. Equally types of cell are given up significant and we shall study some of their salient feature in the following pages.

Classification of the electrochemical cell:

Oxidation-reduction or redox reactions obtain position in electrochemical cells. Generally two classifications of electrochemical cells. Spontaneous reactions occur in galvanic (voltaic) cells; no unstructured reactions occur in electrolytic cells. Both types of cells include electrodes where the oxidation and decrease reactions occur. Oxidation occurs at the electrode term the anode and decrease occur at the electrode call as cathode.
             A possible difference develops among the electrode and the electrolyte which is call electrode potential. When the concentration of each the class implicated in a partly cell is combination then the electrode potential is well-known as standard electrode potential.