Friday, November 30, 2012

Atoms Part 1: How Atoms Are Made

The very first atom, a simple union of a proton with an electron, appeared when the universe was just about 380,000 years old. It was hydrogen.

Big Bang Synthesis

Just after the Big Bang, our universe started out as a tiny seething environment filled with unimaginable energy. In just a millisecond, tiny particles called quarks formed. They come in two stable kinds - called up and down. The temperature was several trillion degrees Celsius. These quarks, attracted to each other by a fundamental force in the universe, called the strong force, quickly formed little groups of three quarks each, called neutrons and protons. About seven times more protons were created than neutrons. Neutrons contain two down quarks and one up quark. Protons contain one down quark and two up quarks.

Free protons are very stable. Each one, made right after the Big Bang, will outlast our universe. But free neutrons are unstable. They have a half-life of just over 10 minutes. This means that of all free neutrons today, only half will remain 10 minutes from now. What happens to them? They decay into stable protons. A down quark decays into an up quark.

Few free neutrons had a chance to decay, however. A few seconds after the Big Bang, almost every free neutron was paired up with another neutron and two protons to make a helium-4 nucleus. Helium-4 nuclei are very strongly bound. The strong force again attracted them to each other just as it attracted quarks together. By the time the universe was about three minutes old, the process of making atomic nuclei had stopped altogether, and once bound inside nuclei, neutrons became stable.

The universe had enough time to make a handful of simple atomic nuclei: a lot of helium nuclei, along with trace amounts of deuterium and lithium nuclei. The majority of protons didn't bind into nuclei at all. They remained free instead. Around these protons and nuclei, electrons and photons zipped around in all directions. A photon is a particle of light and radiation. The universe had to cool down much more before electrons could settle into orbits around nuclei to create atoms. It took about 380,000 years. When the electrons settled into atoms, photons were freed up to fly away in all directions. This is where something you may have heard of, the cosmic background radiation, came from. These photons started off as highly energetic radiation called gamma rays. While they traveled, space itself expanded as the universe expanded. This expansion stretched their wavelengths longer. These photon travelers from that distant time reach us today as faint (long wavelength) microwave background noise. You can see it as snow on an old fashioned TV when it isn't tuned to any station.

Hydrogen is the lightest and simplest elemental atom in the universe. It is assigned the atomic number 1 because it has just one proton in its nucleus. Every single kind of atom, or element, has its own atomic number. This hints at something very important about atoms. The number of protons in an atom's nucleus determines what kind of atom it is - it is what makes iron, with 26 protons, different from copper, with 29 protons, for example:
Of all the mass of all the atoms in the universe, 75% comes from hydrogen. Before stars formed, the only atoms in the universe were hydrogen, helium and lithium:
The early atom picture is just a bit more complex than this, however. Each of these three kinds of atom comes in different types, called isotopes. To understand what an isotope is, let's take hydrogen as an example. The simplest hydrogen atom contains a nucleus made of just one proton. However, all atomic nuclei larger than this hydrogen atom also contain neutrons. The number of neutrons in an atomic nucleus determines which isotope it is.

The simplest isotope of hydrogen is hydrogen-1 or 1H. Other isotopes of hydrogen were also made when hydrogen-1 was made: hydrogen-2, called deuterium, and hydrogen-3, called tritium, for example:
Protons and neutrons (shown in orange and purple, respectively, in this diagrams) in a nucleus attract each other through a glue-like force called the nuclear strong force, but protons naturally repel each other because they are of the same positive charge. These two forces compete with each other. Neutrons tend to stabilize a nucleus because they attract each other and protons equally. Too many neutrons, however, can destabilize the arrangement. When an atomic nucleus takes on more and more neutrons, it tends to get more and more unstable. The nucleus becomes unwieldy. Deuterium, like hydrogen-1, is stable. These atoms, once they were formed billions of years ago never decay. Tritium, on the other hand, isn't stable. It is radioactive, and it has a half-life of about 12 years. This means that in 12 years, half of all tritium atoms today will have decayed into another, stable, atom called helium-3. An unstable tritium nucleus, with one proton and two neutrons, decays into a stable helium-3 nucleus, with one neutron and two protons. A neutron decays into a proton, releasing an electron in the process.

All the tritium in the universe would have disappeared billions of years ago if it were not made naturally when cosmic rays interact with gases. Neutron-heavy hydrogen-4, 5, 6 and even hydrogen-7 have been made in the lab, but they are very unstable isotopes and they last just tiny fractions of a second before decaying into more stable atoms.

Besides stable hydrogen-1 and deuterium, helium-3, helium-4 and lithium-7 atoms, all of which are also stable, were made when atoms began to form in the universe. Almost a quarter of the atomic mass of the universe is made up of helium-4, with trace amounts of deuterium, helium-3 and lithium-7. No other elemental atoms were made at this time. They didn't exist in the universe until the first stars formed about 200 million years later, and began to fuse lighter elements into heavier ones.

Star Core Synthesis

During most of a star's life, hydrogen fuses into helium under the enormous pressure and heat deep inside its core. Small stars, like our Sun, will eventually run out of hydrogen and nuclear fusion will stop. Only in very massive stars, much larger than our Sun, do carbon, oxygen and even iron atoms form in significant quantity, all from successive fusion reactions.

The production of carbon atoms requires even more energy than the fusion of hydrogen into helium. When a large star begins to run out of hydrogen, its core begins to collapse. This pressure heats it up even further. Helium nuclei begin to fuse fast enough to compete with the decay of their unstable product, beryllium-8. If they don't fuse fast enough, beryllium-8 simply decays back into two helium nuclei before any new fusion reaction can happen. Now, however, some beryllium-8 sticks around long enough to fuse with other helium nuclei. When they do, stable carbon-12 nuclei are created. Three helium nuclei fuse into a carbon nucleus. The two fusion reactions involved in making carbon occur almost simultaneously:

Carbon nuclei can fuse with other helium nuclei to create oxygen nuclei, and so on. Carbon atoms didn't form right after the Big Bang because the universe cooled down before carbon nuclei could form.

When we think about atomic nuclei fusing with each other to make bigger nuclei, we are describing a special high-energy environment inside a star. Here, the pressure and temperature are so high that atoms don't exist as atoms, with electrons orbiting nuclei. Here, the electrons are just too excited. They fly around freely. When this happens you get a special state of matter called plasma. Free nuclei float around in a "soup" of highly energized electrons flying around in all directions. This plasma within a star is similar to the plasma that filled the universe just before atoms formed.

In the plasma inside very large stars, all the available carbon nuclei eventually fuse into even larger nuclei such as oxygen, sodium and magnesium. Once the carbon is gone, the star contracts once again and gets even hotter. Oxygen fuses into silicon and sulfur nuclei as well as other elements. Eventually the core of the star contains nothing left but sulfur and silicon. It contracts further and it gets even hotter. It soon has enough energy to make even heavier elements. Each new nucleus is made by fusing a helium nucleus to an existing nucleus, in a step-by-step fashion. For example, a silicon nucleus fuses with a helium nucleus to make sulfur. The sulfur nucleus fuses with another helium nucleus to make argon. The argon nucleus fuses with another helium nucleus to make calcium, and so on. This process continues along to create larger and larger nuclei. It all happens very fast. The entire step-by-step process lasts about five days in total, until a nickel-56 nucleus is eventually made. Then it suddenly stops. This is when things get very interesting for the large star.

Stars burn brightly for many millions of years because massive amounts of energy are released every time light elements such as hydrogen fuse into helium. This energy is called nuclear binding energy. It's the energy needed to remove a proton or a neutron from a nucleus and it's the same energy that's released when a proton or a neutron is added to a nucleus.

As atomic nuclei get larger and larger, the increase in binding energy as protons and neutrons are added to the nucleus begins to wane, and eventually it doesn't increase at all. It becomes negative. The graph below charts binding energy as a function of nucleus size. Initially, as protons and neutrons are added to the nucleus, the binding energy of the nucleus increases dramatically. See the sharp upward incline to the left. You can see the increase start to wane at around carbon and oxygen nucleus size. (Notice the little jagged up-tick in energy at helium - this shows how much binding energy this particular nuclear arrangement has. This nucleus is especially tightly bonded together.) Now look at iron-56. This nucleus has the highest binding energy in this graph:

Actually, nuclei with 58 and 62 nucleons have the highest possible binding energy of all nuclei. We don't get them here in this massive star, because each new element must be a multiple of 4 (a helium nucleus has 2 protons and 2 neutrons). We get nickel-56 instead (that's 14 helium nuclei that have bound up together). As nickel-56 tries to fuse with one more helium nucleus to make the next largest element, zinc-60, the process actually requires energy instead of producing it. Rather than releasing energy when neutrons and protons are added, heavier elements release energy when protons and neutrons are removed ? fission rather than fusion is favoured. Nickel-56, therefore, is the last element this star or any star can make in its core.

With all this nickel being made, you may wonder why the cores of rocky planets and meteorites contain lots of iron-56 in them, not nickel. That's because nickel-56 is unstable. It has a half-life of about 6 days as it decays into cobalt-56, which is also unstable with a half-life of about 77 days. Cobalt-56 decays into iron-56, and that is a stable nucleus. It is the heaviest stable element made inside a star.

So what happens next when nickel-56 is made inside the star? And where do even larger atoms come from?

Supernova Synthesis

When stars are busy fusing nuclei, they are in a state of equilibrium. The outward force of thermonuclear fusion balances the inward force of gravity. When fusion reaches nickel-56 size, it stops altogether. The core begins to collapse once again but this time there's no new kind of fusion to ignite and restart the process. No more outward force is created to balance the crushing inward force of gravity. The star completely collapses in on itself. This collapse is catastrophic - it can reach a velocity as high as 70,000 km/second! The temperature and density of the core skyrocket. The inner core of the star eventually reaches a density comparable to that of an atomic nucleus. Consider that atoms are 99.9% empty space! Here, all that empty space has been squeezed out and atomic nuclei and electrons are packed in on each other. They are so tightly squeezed that protons begin to capture electrons and turn into neutrons. This process creates a dense hot neutron soup that can't decay any further. The temperature is about 6000 times higher than it was before the collapse. It is an environment where large and highly unstable neutron-rich nuclei form through a process called neutron capture, rather than through nuclear fusion. Free neutrons are basically squeezed into large nuclei so fast the nuclei don't have a chance to decay. There is an upper limit to nuclei formed this way. When the number of nucleons approaches 270 (that's larger than any even unstable atom scientists have created), the nucleus rapidly and spontaneously decays through fission, releasing a lot of energy, until it reaches a stable isotope.

The core collapses, creating a slew of new heavy unstable atoms all within a few seconds. The rapid collapse of the large star releases a staggering amount of gravitational potential energy. It is this energy that drives a supernova explosion. Heavy nuclei blow far and wide into surrounding space.

As the energy of explosion begins to subside, smaller unstable (radioactive) nuclei formed in the super-heated core undergo a series of nuclear decays (rather than fission) until they reach stable nuclei. Lead-204, with 82 protons and 122 neutrons, is the heaviest stable atomic nucleus in the universe. All elements in the periodic table with atomic numbers higher than 82 are unstable, although some of these have very long half-lives. Bismuth-209 for example, with 83 protons, has a half-life longer than the age of the universe, and therefore can be thought of for all intents and purposes as stable, and non-radioactive.

Every subsequent supernova seeds the universe with more and more large atomic nuclei. While the number of very small atoms remains about the same today as when they were created shortly after the Big Bang, the number of larger atoms continues to increase as they are created in the cores of large stars and during supernovae. These three kinds of atom creationBig Bang synthesis, star core synthesis and supernova synthesis - explain why there is so much hydrogen and helium in the universe, why there are significant amounts of oxygen, carbon and silicon - major components of rocky planets like Earth, and why heavy metals such as gold-79 (Au) and platinum-78 (Pt) are precious because they are present in the universe only in tiny amounts.

Next, take a look at Atoms Part 2, which explore how atoms emit light.


  1. Finally, I understand where atoms come from! A beautifully written article, thanks so much.

    1. Thanks ScienceMan! I hope you enjoy the other articles to come in the Atoms series.

  2. I have a few questions. Are there any protons still being created ? If the answer is no, can I assume that protons present in each and every atom of my body was made a few moments after the Big Bang ?

  3. Great question Navenee! Protons are believed to be highly stable. Recent research from the Sudbury Neutrino Observatory suggests that the average lifetime of any proton must be more than 2.1 x 1029 years. That's far older than the universe itself is expected to exist!

    That said, individual protons can and do change into other kinds of particles when they interact with particles under very high-energy conditions.

    A proton can transform into a neutron through a process called electron capture. A great deal of energy must be supplied in order to accomplish that. A neutron can also transform back into a proton through a kind of radioactive decay called beta decay. This process happens spontaneously because free neutrons (those that are not confined inside atomic nuclei) are unstable, lasting about 15 minutes before decaying into a proton, an electron and an electron antineutrino. Several kinds of radioactive isotopes undergo fission with an emission of free neutrons.

    For these reasons you cannot assume that each proton in each atom of your body was necessarily created shortly after the Big Bang. It could have come from the radioactive decay of large unstable atoms as well.

  4. You mentioned in the article that both protons and neutrons are made up of a fundamental particle called quarks. Does it mean that the quarks in all living beings were created a few seconds after the Big Bang ?

    The reason i ask is this. I read somewhere that all the atoms in the earth were created in the sun. I think the sun is incapable of creating the atoms out of nothing. The quarks which combined to form protons and neutrons were created during the Big Bang. So can it be said that we human beings are as old as the universe itself ?

    PS: Sorry if you cannot understand my question. I'm not a native English speaker.

  5. First, your English is excellent, and thank you for your great questions!

    All atoms are NOT created in the Sun. In fact, our Sun, a star like countless other stars in the universe, creates no new atoms out of "nothing." Your hunch is correct. What a star does, however, is create new kinds of atoms out of other kinds of atoms through the process of fusion, where smaller atoms like hydrogen fuse into larger atoms like helium. Our Sun is busy doing this right now. Stars also fuse even larger atoms such as carbon and oxygen, etc., but only very massive stars create atoms as large as iron, and they don't create very much of it before they explode into a supernova. The incredible energy of a supernova is where even larger atoms are fused, such as heavy metals and radioactive elements like uranium.

    Through fusion and fission, atoms change into other kinds of atoms.

    Atoms, as you know, are made up of quarks (they are confined inside the neutron and proton) as well as electrons. You question of where quarks come from is a great one! In order to create an atom you need to create quarks and electrons. In order to create a quark, you need incredibly high energy. Scientists are just now beginning to be able to recreate the conditions of the very young universe by slamming protons together at energies that would be equivalent to about 5 trillion degrees Celsius! When they do this they can (very briefly) create something called quark-gluon plasma. This plasma, consisting of free quarks and free particles called gluons is exactly what scientists think the very young universe consisted of. As the plasma cools, gluons will hold quarks together in neutrons and protons. When the universe cooled (by expanding) protons and neutrons began to form from the quark-gluon plasma. There are no known natural processes in the universe today that create these kinds of conditions, so all the quarks that exist today - with the exception of those few created in supercolliders - were created just after the Big Bang. The formation of electrons is similar story. As the universe continued to cool, they too separated out of this high-energy plasma.

    To answer your question, every quark in our bodies is an original quark that was created just after the Big Bang.

    All particles of matter – quarks and electrons - in the universe ultimately come from pure energy. If you could heat the Earth back up to over 5 trillion degrees, all of its matter would transform once again into pure energy. This shocking reversible reaction is explained by Einstein's famous equation E = mc2.

    You might ask where all this pure energy came from in the fist place? The question of what created the Big Bang is still a mystery, and a question that is currently hotly debated by physicists.

  6. Thank you so much for taking the trouble to clear my doubts. You have written so much here that I think it will take many years for me to just read it all. I wonder how much time and effort you must have put in write all these. You are doing a great job.

  7. A very amazing site:
    Atoms are very very VERY small...

  8. So I guess the first thing to ask is..........why? Why did an explosion make anything? If we accept that for some reason it did, and these things just self-assembled (?), then how in (bleeping bleep) did the electrons settle into orbit around these nuclei? Just fast enough to not fall into the nucleus (which it is highly attracted to, given opposite charges) and slow enough to not escape the orbit. If this did indeed happen, then that is the biggest miracle ever presumed.

    1. Hannibal, thanks! You've just asked a fascinating question which has a deeply perplexing answer! In fact, you have found yourself at the doorstep of quantum mechanics, a field that even the experts find mysterious (I have a collection of articles on the subject in this blog).

      You've approached electron orbit from a perfectly sensible position: electrons should orbit a nucleus using the very same physics that any object should obey. This is how we understand planetary motion for example. However, atoms don't play by these classical rules! Instead, an electron can only possess one of a series of permitted energies, like rungs on a ladder of increasing/decreasing energies. In other words the permitted energies of electrons is quantized. An electron can therefore possess a minimum energy and that is the energy that corresponds to the innermost possible electron orbit around a nucleus. If we thought of the electron as a moon, we would guess that it would maintain its orbit given just the right orbital velocity as you mentioned. In the electron's case, it cannot possess any smaller energy under any circumstances so it can never spiral into the nucleus. It can however absorb energy and become excited. Here, the electron jumps to a higher more energetic orbit. It must lose a photon of light (at a very specific wavelength! Again, quantized) in order to return to ground state. Why the electron's energy is quantized is a deep mystery.

      In fact, why we have two opposite and attractive electrical charges as you mentioned, and not just one, in the universe too is a mystery.

      Also, the electron, like other elementary particles, also has a spin to it, but this spin too is nothing like what we imagine. It comes in only one rotational velocity – it is what makes an electron an electron – and no one knows where that spin comes from (I wrote an article on electron spin too if you are curious).

      How quantum particles (obeying quantum mechanics) in great quantity translate into everyday objects that obey the classical physics we understand is another question with no answer!

      These are the mysteries that make particle physics absolutely fascinating and they what keep me reading and wondering!

    2. Thanks for taking the time to reply. I understand that the electron's orbit does not obey classical physics constraints. Actually, I think it's even more complicated than you explain. While the electron does move up and down the s and p orbital planes via quantized energy thresholds, they do not actually exist in a defined orbit that we can understand, but rather within a probability cloud. Once it settles into this state, your explanation makes perfect sense. However, before it settles into it, it actually makes no sense at all. The electron does not naturally want to come join team proton/neutron. Until it sheds entropy and settles into an ordered arrangement, it should just give in to its natural (+)-phillic nature and smash right into the proton. That is where the mystery lies.

    3. Thanks Hannibal, you are absolutely correct: atomic orbitals are best thought of as energy thresholds and it is indeed mysterious how we can even describe such specific arrangements as atomic bonding for example, when at the same time we have to reconcile that the electron can only be pinned down to a probability cloud (I'm not sure we can ever say it's settled into any position though sometimes it acts as if it has). What I offer as an explanation why it doesn't ever spiral into the proton nucleus is at best only the mathematical theory of the electron. It doesn't really say at least to me what it's actually doing. At least to my mind, such constructs come with the risk that we tend to want to think that the construct itself is the reality. To picture the electron you have the impossible task of reconciling conflicting data (a settling probability cloud – how the heck does that work?). What the electron really is, I think, might have to wait until we understand what space-time really is (how many dimensions, how does QM fit into it etc.). Until then, this mystery remains one of my favourites in physics because it's so weird and yet all matter is full of electrons.

  9. Outstanding explanations and clarity! Thank you

  10. This comment has been removed by a blog administrator.

  11. Best explanation yet. Thanks so much! :)

    (I think you have a typo on your proton description though.. " Neutrons contain two down quarks and one up quark. Protons contain one up quark and two down quarks." The photo figure is right though. Cheers.

    1. Thanks so much for your eagle eye, Peter! I deeply appreciate it. I am glad you found the article helpful as well!

  12. I finally understand where atoms come from. Your article was well written, clear, and easy to understand. I wonder how many atoms can fit on the point of a pencil.

  13. When I google "hydrogen fusion" and get to Wikipedia's "nuclear fusion" entry, it shows a diagram called the proton-proton chain reaction, which it says is predominate in stars like our sun. The diagram shows two protons colliding, forming a deuterium nucleus, a positron and a neutrino. This seems to imply a proton converting into a neutron and a positron. Can someone explain this? The May 1, 2014 comment above seemed to suggest that a proton converting into a neutron through electron capture is rare. I also don't understand the mass balance if a positron is released rather than an electron captured.

  14. This blog is really helpful to deliver updated educational affairs over internet which is really appraisable. I found one successful example of this truth through this blog. I am going to use such information now.กุนเชียงหมู

  15. Beautiful article on the creation of life, hard to fathom all that energy just sitting there before the big bang, what size was it, what did it look like or did it look like nothing at all?

  16. Chem Academy offers Best IIT JAM Coaching in Jaipur and Best coaching institute for IIT JAM at affordable price. Best coaching for IIT Jam Chemistry and Physics Now available in Jaipur. IIT JAM Coaching in Jaipur

  17. The site is really beneficial for everyone to know about this topic. I think if you read blog than you will get some more information from blog. This is really useful blog.
    APC Smart UPS SRT

  18. Grammar, vocabulary, tenses, indirect speech, passive sentences must always be keep in mind while writing a blog. Everyone must read this blog. This is going to help everyone.
    server แบบ rack

  19. A blog must be connected to the person in need. It is really important to understand the actual feel of such necessity and the essence of objective behind it. Author must give proper time to understand every topic before writing it.

  20. The site is really beneficial for everyone to know about this topic. I think if you read blog than you will get some more information from blog. This is really useful blog.
    Acer Altos R360 F3

  21. Chem Academy offers IIT JAM Physics Classroom now in Jaipur. According to student review and our results Chem Academy is known as Best IIT Jam physics coaching in india and Best CSIR Net Coaching In India. PHYSICS and Chemistry New Batches Starting from April. iit jam physics Classroom

  22. Obviously, the collection of a writer must be a bundle of creativity. New ideas of writing become the reason of success. It makes your work worthwhile. Everyone wants to praise your writing because they bound by creativity.
    Cisco RV130

  23. The portrait of a hydrogen atom pictured here is in the form of an electron rotating around a proton. What is not shown is what happens at various energy states and what causes the energy state to change. Note that this is an electronic circuit, just as Max Planck had envisioned in the year 2000. As such, we do have software to analyze electronic circuits of this type, such as SPICE. Unfortunately, physics organizations shy away from the notion that the atom is anything by mechanical, primarily because of Einstein's mechanical atom. As Planck put it, it could be either model. Electron engineers utilize such methods for electronic and mechanical systems. Also note that Einstein, in his later years stated the the greatest mystery yet to be solved was the relationship between matter and electrical field. Having been a university professor, the problem is political in these institutions, priomarilyo at the top!

  24. Awesome post, extremely instructive. I ask why alternate pros of this segment don't see this. You should proceed with your composition. I'm certain, you have an incredible perusers' base already!e of sound sustenance and acknowledging nourishment.

  25. The intensity of articles can with out issues be felt of this weblog. Very specific and without delay to the mark. I understood with out difficulty the problem of fact which the author of this weblog wanted to deliver thru his mind. looking for more. CSIR NET Coaching

  26. Enthusiastic words written in this blog helped me to enhance my skills as well as helped me to know how I can help myself on my own. I am really glad to come at this platform.
    hulp bij belastingaangifte amsterdam

  27. Website Development Jaipur

    Digitalopeners website development Jaipur provides best website development services Jaipur , Website Development Company In jaipur Website Development and Software, E-commerce Development, SEO and SMO, Digital Marketing training Jaipur, Rajasthan. We also provide SEO friendly web design & development services and Mobile app development company Jaipur.

  28. This blog is really helpful to deliver updated educational affairs over internet which is really appraisable. I found one successful example of this truth through this blog. I am going to use such information now.hulp bij belastingaangifte amsterdam

  29. Introduction to online course for IIT-JAM, CSIR-NET and GATE | Chem Introduction to online course for IIT-JAM, CSIR-NET and GATE | You tube mirage vs complete Online course

  30. Camp In Jaisalmer
    Camp In Jaisalmer Are Offered Heritage juma desert camp. Camp In Jaisalmer Organise Jaisalmer Camps, Desert Camp Jaisalmer, Luxury Camp In jaisalmer Book Now.

  31. At some point couple of instructive websites turn out to be extremely useful while getting applicable and new data identified with your focused on zone. As I discovered this blog and welcome the data conveyed to my database. Jam online test series free

  32. 12 Seater Tempo Traveller Rental Jaipur
    12 seater Tempo traveller in Jaipur, Tempo Traveller Rental Jaipur for outstation & sightseeing Purpose, hire 12 seater tempo traveller in jaipur, tempo in Jaipur

  33. Buy online Best Study material for CSIR Net Dec 2019 with the complete syllabus. Chem academy provides CSIR Net Dec 2019 Study Material (13 Booklet) in only 12000 with Home delivery. CSIR Net correspondence course and CSIR Net Distance learning course now available at CSIR Net Dec 2019 Study Material

  34. I gained new knowledge from well written content of this blog. It is showing some different kind of strategy to keep work better and improve with every new assignment. Gracefully written bloghulp bij belastingaangifte amsterdam