Showing posts with label physical. Show all posts
Showing posts with label physical. Show all posts

Sunday, January 9

Noorul Huda

10 New Questions to Practice: Chemical Thermodynamics

The following questions are from Chemical Thermodynamics topic, try to solve these questions first and then watch the attached video at the end for detailed solution. This series of questions will help to build problem solving approach and will be quite helpful for competitive exams preparation like CSIR NET, GATE, IIT-JAM etc. 











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Wednesday, March 17

Noorul Huda

Important Books of Physical Chemistry for Preparation of CSIR-NET | GATE | IIT-JAM | TIFR [with PDF links]

The Post includes all important books for Physical Chemistry preparation for various M.Sc level examinations, including CSIR-UGC NET, GATE, IIT-JAM, TIFR, BARC etc. The books and links provided below are to make these books accessible to all and develop book reading culture among aspirants. 


The Books contain links to Buy Hard Copy (from online websites like Amazon.in) and also Free PDF download. There can be differences in the edition of book provided as hard copy link and PDF file. 

PHYSICAL CHEMISTRY:

1. Principles of Physical Chemistry by Puri, Sharma and Pathania


Buy Hard Copy Online: Click Here
Download Free PDF: Click Here
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Saturday, May 12

Noorul Huda

Important Spectroscopic Data Tables | IR Spectroscopy | NMR Spectroscopy (1H-NMR, 13C-NMR)

This post contains important spectroscopic data tables which will help in structure elucidation of compound with the known data values. The post contains tables for IR Spectroscopy, 1H-NMR and 13C-NMR spectroscopic data.


IR Spectroscopy Data:

The given below table is the approximate wavenumber values obtained in IR Spectroscopy of corresponding functional group.



1H NMR Spectroscopy Data

The below table is approximate chemical shift value for different functional groups obtained in 1H-NMR spectroscopy.




13C NMR Spectroscopy Data

The below table is approximate chemical shift value for different functional groups obtained in 13C-NMR spectroscopy.





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Friday, September 29

Noorul Huda

Notes on Fluorescence and Phosphorescence

Have you ever wondered why glow sticks (see Fig. 1) are glowing after you have bent them? Or why those plastic stars are still glowing at night after the lights have been switched off? You may not have.
 However, whether you have asked yourself those questions or not, the following text will hopefully provide you with answers and explanations of the phenomena of glowing bracelets, shining jellyfish, black light, and many more.
Figure 1: Glowstick

Luminescence:

In general, the glow that occurs in all the above mentioned phenomena is called luminescence. Luminescence is energy released by a substance in the form of light. Several types of luminescence can be differentiated:
  • One example is Chemiluminescence. During some chemical reactions, energy is released as light. This occurs after bending a glow stick. It is also the reason for the glowing of animals like jellyfish or some microorganisms. In this case, it is called bioluminescence.
  • Another kind is Triboluminescence. This can be observed when a self-adhesive envelope is opened in complete darkness or when adhesive tape is unrolled in a dark room. In doing so, mechanical energy is put into the system and serves as an activator for the glow.
  • Probably the most familiar type of luminescence is Photoluminescence. Here, energy is provided by electromagnetic radiation, for instance through sunlight or an ultraviolet lamp, as in some discotheques. This causes phenomena like the ongoing glow of plastic stars or the extreme brightness of white clothes under black light. One can differentiate fluorescence and phosphorescence, which will be explained below.


What are Electronically Excited States?

Fluorescein
Generally, all kinds of luminescence are based on so-called photo-physical processes. Usually, molecules themselves are described as fluorescent. This is the case with fluorescent dyes like fluorescein or curcumin. However, to explain photo-physical processes, one has to take a closer look at an even smaller level than the molecular one.
Flourescein Chemical Structure

Atoms of different elements have a different number of electrons distributed into several shells and orbitals. Electrons are a type of elementary particle. Electronic transitions are responsible for luminescence. When the system absorbs energy, electrons are excited and are lifted into a higher energetic state. Before excitation, in the ground state, some of the electrons are in the so-called HOMO (Highest Occupied Molecular Orbital). After they reach an excited state, they are in the LUMO (Lowest Unoccupied Molecular Orbital) (see Fig. 2). How this works exactly will be explained using Photoluminescence as a specific example.

Electronic excitation
Figure 2. Electronic excitation.

Different energetic states of an atom or molecule are known as "energy levels". Depending on the molecule and atom, the electrons can only occupy discrete energy levels since the energy is quantized, which means, energy can only be absorbed and emitted in certain amounts. The difference between two levels can be calculated with equation 1.

ΔE = E2–E1  ...................(1)  
(where E2 is the higher energy level and E1 the lower one).
Photons, particles of which electromagnetic radiation or light consists, have to have a certain energy value to be able to excite electrons. The energy of a photon can be calculated with equation 2,

  Ephoton = hν      .......(2)
(where h is the Planck constant and ν is the frequency of the light.)
The necessary excitation energy for the electrons equals the difference between the energy levels. Only light with a certain energy, and accordingly with a certain frequency and wavelength, is capable of exciting electrons. By equalizing equations 1 and 2, and with the help of equation 3 (where c stands for the speed of light), the necessary frequency and wavelength can be calculated (see eq. 4). In many cases, UV-radiation is used for excitation.

 Î» = c/ν   ..............(3) 

ΔE = Ephoton ⇔ E2 – E1 = hν   ..............(4)
        ν = (E2 – E1)/h
        λ = hc/(E2 – E1)


Deactivation of Electronically Excited States

Such electronically excited states are unstable. Electrons drop back to their ground states. At the same time, the excitation energy is released again. One distinguishes between radiative and non-radiative decay processes. Most of the time, the decay is non-radiative, for example through vibrational relaxation, quenching with surrounding molecules, or Internal Conversion (IC). These processes will be explained in detail later.

Sometimes, a radiative decay can occur in form of fluorescence and phosphorescence. The energy is emitted as electromagnetic radiation or photons. The emitted light has a longer wavelength and a lower energy than the absorbed light because a part of the energy has already been released in a non-radiative decay process . This is the reason that an emission in the visible spectrum can be achieved by excitation with non-visible UV-radiation. This shift towards a longer wavelength is called Stokes shift.


Comparing: Fluorescence and Phosphorescence:

Both fluorescence and phosphorescence are spontaneous emissions of electromagnetic radiation. The difference is that the glow of fluorescence stops right after the source of excitatory radiation is switched off, whereas for phosphorescence, an afterglow with durations of fractions of a second up to hours can occur.

To compare the photo-physical processes behind both phenomena, there are some facts about electrons that are helpful for understanding: Electrons are particles that have a so-called spin and a spin quantum number. This can have two different values, namely either +1/2 or –1/2. This number is a property that we actually cannot imagine or describe easily. It is often compared with a spinning top, either spinning in a clockwise or anti-clockwise direction. However, this description is neither mathematically nor physically quite correct. Two electrons in a single orbital of an atom have antiparallel spin, which is noted as (↑↓).

Fluorescence:

In the Jablonski diagram for fluorescence (see Fig. 3), the singlet spin state S0 is the ground state of the electrons, and S1 and S2 are singlet excited states (the states are only used as an example in this text and do not necessarily apply to certain atoms, molecules, etc.). Within those states, there are several energy levels. The higher the level is, the more energy an electron possesses when being in that level. In the case of singlet states, the electrons have antiparallel spins.

Jablonski diagram for fluorescence
Figure 3. Jablonski diagram for fluorescence.

The electrons are lifted from the ground state S0, for example, to an energy level of the second excited state S2, when excited by electromagnetic radiation. After excitation stops, the electrons only stay in that excited state for a short period of time (ca. 10–15 s) and then immediately start falling back down into the ground state. In doing so, energy initially can be released to the surroundings by vibrational relaxation. That means thermal energy is released by the motion of the atom or molecule until the lowest level of the second excited state is reached.

The bigger gap between the second and first excited state is overcome by internal conversion. That describes an electronic transition between two states while the spin of electrons is maintained. Now, the electrons can relax further due to more vibrational relaxation until they reach the lowest energy level of the S1 state.

Theoretically, the electrons could relax even further in a non-radiative way until they eventually reach the ground state again. However, it can be the case that the last amount of energy is too large to be released to the surroundings because the surrounding molecules cannot absorb this much energy. Then, fluorescence occurs, which leads to an emission of photons possessing a certain wavelength. The emission lasts only until the electrons are back in the ground state. Since during all those transitions the electron spin is kept the same, they are described as spin-allowed.

Phosphorescence:

For phosphorescence, things are a bit different (see Fig. 4). There are again an S0 ground state and the two excited states, S1 and S2. Additionally, there is an excited triplet T1 state which lies energetically between the S0 and S1 state. The electrons again have antiparallel spins in the ground state.

Jablonski diagram for phosphorescence
Figure 4. Jablonski diagram for phosphorescence.

Excitation happens in the same way as in fluorescence, namely through electromagnetic radiation. The release of energy through vibrational relaxation and internal conversion while maintaining the same spin is the same here, as well, but only until the S1 state is reached.

Alongside the singlet states, a triplet state exists and so-called intersystem crossing (ISC) can occur since the T1 state is energetically more favorable than the S1 state. This crossing, like internal conversion, is an electronic transition between two excited states. But contrary to internal conversion, ISC is associated with a spin reversal from singlet to triplet. Electrons in the triplet state have parallel spins, which is noted as (↑↑). This ISC process is described as "spin-forbidden". It is not completely impossible – due to a phenomenon called "spin-orbit coupling" – however, it is rather unlikely.

In the T1 state, non-radiative decay is possible as well. However, a transition between the lowest energy level of the triplet state and the S0 state is not readily possible, because that transition is spin-forbidden, too. Still, it can happen anyway with a small possibility. It causes a rather weak emission of photons because the electron spin has to be reversed again. The energy is trapped in this state for a while and can only be released slowly. After all energy has been released, the electrons are back in the ground state.

Summary:

The spin-allowed and -forbidden processes serve as explanations for an immediately ceasing glow of fluorescence and for the afterglow of phosphorescence. Phosphorescence usually occurs only with "heavier" molecules since the spin has to be reversed with the help of spin-orbit-coupling. Whether electromagnetic radiation is emitted at all, and with which wavelength, depends on how much energy can be released beforehand by non-radiative decay. It also depends on the properties of so-called quenchers that are surrounding molecules and are able to take up larger amounts of energy.

All processes that can lead to an inhibition of radiative decays can cause fluorescence quenching. Examples are non-radiative decay processes, but also the destruction of the fluorescent molecule. The quantum efficiency describes the efficiency of the process and is defined as the ratio of absorbed and emitted photons. This property is different for each substance.

Even though this text focuses on photoluminescence, the photo-physical processes are the same for all types of luminescence.




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Monday, August 22

Noorul Huda

Symmetry and Group Theory

 What is symmetry? 

In simple language we can say that an object has symmetry, if it has some special characteristics, such as pleasing designs, while we look at it. As an example, when we see the telephone posts or electric lamp posts, we say that there is symmetry because they are arranged in a straight line at equal distance. Similarly, when we look at the gates of houses, they will appear symmetric because of their designs. Naturally, our eyes will compare the design on one half of the gate with that of the other half and if they find some characteristic feature such as mirror image or other, then we feel there is symmetry. A suspension bridge, a butterfly, the rose petal etc. are some examples to show the pleasing designs and hence, they are symmetric. 



  • Symmetry elements

Of course, we realize the symmetry in the objects when we look at them. However, we must express them scientifically. This could be done with the help of symmetry elements. What are symmetry elements? These are nothing but some physical entities such as line, plane, point etc. The next question is, “Are they present in objects or molecules?” The answer is “no”. These are imaginary.
  •  Symmetry operations

These are some mechanical operations, such as, rotation, reflection, inversion etc., performed about the symmetry elements so that indistinguishable structures are produced.

Axis of symmetry or Proper rotational axis of symmetry (Cn).

It is an imaginary line passing through an object or a molecule about which when the object or molecule is rotated by a certain angle, an indistinguishable structure is produced. 
EXAMPLES

  C4 axis of rotation



 The two structures cannot be distinguished, if the letters are removed.

C3 axis of rotation



 The angle between two spheres is equal to  120o. Hence rotation by 120ogives an indistinguishable structure.

C2 axis of rotation

When the above V-shaped molecule is rotated by 180o about the axis passing through the central sphere, (a) and (b) spheres are interchanged. The two structures cannot be distinguished, if the letters are removed.


 The angle between the blue and red spheres is 180o. Rotaion about the vertical axis by 180o gives an indistinguishable structure, once the letters are removed.

C6 axis of rotation

 

 60o rotation about the axis perpendicular to the paper gives an indistinguishable structure, once the letters from the spheres are removed


Order of axis and plane of symmetry

Order of axis

This imaginary line, i.e., the axis of symmetry is represented as Cn, where n is known as the order of the axis. This tells how many times we have to rotate the object to reach the initial structure, i.e., one full rotation.
Or, it tells the angle (360o/n) by which we have to rotate the molecule to  get the indistinguishable structure.
C4 axis of symmetry, 360/4 = 90o; that is, 90orotation will give an in distinguishable structure.
C3 axis of symmetry, 360/3 = 120o; that is, 120orotation will give an indistinguishable structure.
C2 axis of symmetry, 360/2 = 180o; that is, 180orotation will give an indistinguishable structure.
C6 axis of symmetry, 360/6 = 60o; that is, 60orotation will give an indistinguishable structure.

 Principal axis of symmetry

That axis for whhich the n value is maximum is called the principle axis of symmetry.
  Example:
 C4 is the principal axis because n=4 is the maximum number

 

Plane of symmetry (σ)

It is an imaginary plane cutting the molecule or object into two halves which are mirror images.

 Vertical mirror plane (σv)

This is the mirror plane parallel to the principal axis of symmetry.



 Horizontal mirror plane (σh)

When the mirror plane is perpendicular to the principal axis, it is called horizontal plane of symmetry.



In the first case (plane triangle), the reflection could not be distinguisdhed from the original and the mirror plane is called a horizontal mirror plane, σh plane.
 In the other case, (V-shaped), the reflection is inverted and we are able to distinguish this from the original one. Hence, it is not a σh plane.



Centre of symmetry, Identity Element, and Improper rotation axis

 Center of symmetry (i)

If we can move in a straight line from every atom or point in a molecule or object through a single point at the center to an identical atom or point on the other side of the center, then the molecule or object is said to possess a center of symmetry



Identity Element (E)

This is nothing but rotating the molecule by 360o. The original molecule is obtained. The corresponding operation can be called as “doing nothing” operation.
This is important from mathematical considerations.






Improper rotational axis of symmetry or Rotation reflection axis of symmetry (Sn).

Rotation by a particular angle followed by reflection in a plane perpendicular to the rotational axis leads to an indistinguishable structure.
Example: S4 axis: rotation by 360/4 = 90ofollowed by reflection in a plane perpendicular to C4 axis gives an indistinguishable structure.
Example: SiF4



  •  References 

1.    “Inorganic Chemistry: Principles of Structure and Reactivity”, James E.Huheey, Ellen A.Keiter, Richard L.Keiter, Okhil K.Medhi,  Pearson
Education, Delhi, 2006

2.    ‘Chemical Applications of Group Theory”, 2/e, F.Albert Cotton, Wiley
Eastern, New Delhi, 1986 

Your Suggestions and Comments are Most Welcome 

We'll be posting Notes on Character Tables and some Solved Problems on Symmetry and Group Theory soon...
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