ASTROCHEMISTRY - Part 1




Molecules Detected in Interstellar and Circumstellar Regions
Many of the following molecules have been detected with the major isotope substituted by a minor isotope. The actual number of detected molecular species is much larger than shown below.

Two Atoms
H2, OH, SO, SiO, SiS, NO, NS, HCl, PN, NH, CH+, CH, CN, CO, CS, C2, CO+, SO+, SiN, NaCl, KCl, AlF.

Three Atoms
H2O, H2S, SO2, NH2, N2H+, HNO, HCN, HNC, C2H, HCO, HCO+,OCS, HCS+, C2S, C2O, NaCN, SiC2 (cyclic), MgNC.

Four Atoms
NH3, H3O+, H2CO, HNCO, H2CS, HNCS, C3N, C3H (cyclic), C3H (linear), C3S, C3O, C2H2, HOCO+, HCNH+.

Five Atoms
HC3N, C4H, CH2NH, CH2CO, NH2CN, HOCHO, C3H2 (cyclic), CH2CN, H2C3, CH4, HC2NC, SiH4.

Six Atoms
CH3OH, CH3CN, CH3SH, NH2CHO, CH3NC,HC2CHO, H2C4, C2H4, H2C3N+.

Seven Atoms
HC5N, CH3CCH, CH3NH2, CH3CHO, CH2CHCN, C6H.

More Than Eight Atoms
CH3OCHO, CH3C3N, HC7N, CH3OCH3, CH3CH2OH, CH3CH2CN, CH3C4H, HC9N, HC11N, CH3C5N, (CH3)2CO.

On the large scale the cosmos is chemically controlled.

All visible matter in the Universe has cooled to temperatures well below those at the Earth's surface at least once since the Big Bang.

Many of the astrophysical objects that have temperatures less than several thousands of kelvins contain large abundances of molecules, just as the Earth's atmosphere at 300° above absolute zero is almost entirely molecular.

Molecules have influenced the births and distributions of all stars and galaxies.

Temperatures in the envelopes of many old stars drop to several thousand kelvin inducing molecule formation which triggers the production of dust grains; these grains transmit the pressure of the stellar light which they absorb to the gaseous envelopes, powering strong winds which remove stellar mass, so that an active star is converted into a dwarf.

Each molecule absorbs and emits radiation at wavelengths that are characteristic of its species. The response of the molecules to the physical conditions affects the observed radiation in ways that permit the diagnosis of conditions in those objects.

Chemistry controls the evolution of astronomical objects and is a diagnostic of conditions in them.

Astrochemistry produces species that sometimes have never been manufactured in detectable quantities in terrestrial laboratories.

Chemistry controls the properties and evolution of the astronomical environments in which it takes place.

The masses of interstellar gas clouds are known to be up to a million times that of the Sun, so that the largest clouds are the most massive objects in the Galaxy. They are also the sites of current stellar birth.

Ages and Lifetimes: Years and A-Days
(million years = one astronomical day)

Age of the Universe
15 x 10**9 y = 41 A-years

Age of the Galaxy
12 x 10**9 y = 33 A-years

Age of the Sun
5 x 10**9 y = 14 A-years

Age of the Earth
4.5 x 10**9 y = 12 A-years

Rotation Period of the Galaxy
10**8 y = 3 A-months

Life of a Molecular Cloud
10**8 y = 3 A-months

Life of a Bright Star
10**6 y = 1 A-day

Duration of a Cool Envelope
10**4 y = 14 A-minutes

Duration of a Planetary Nebula
10**4 y = 14 A-minutes

Duration of Human Civilization
5 x 10**3 y = 7 A-minutes

Duration of Human Technological Era
10**2 y = 9 A-seconds

Duration of a Supernova
1 y = 0.1 A-seconds

Bright stars come and go like flowers that bloom for an A-day or two while each of the 'plants' that prodcue them - the molecular clouds - remain in being for several A-months. Low mass stars like the sun - like the grass in the garden lawn - can survive for A-decades.

The chemical timescales are also very important. At the lowest densities, collisons of one H atom with another occur on the average at intervals of 10**13 seconds, nearly a million years (~1 year = 30 million seconds). Collisions with other elements are much rarer than this. In stellar atmospheres each molecule may be subjected to hundreds of collisons per second, and chemistry can be rapid.

Distances in the Universe
Thickness of Galaxy
1,000 light years

Galaxy Radius
50,000 l.y.

Sun-Galactic Centre
27,000 l.y.

Radius of Visible Universe
15 billion l.y.

Mean Earth Radius
0.02 light seconds

Mean Earth Moon
1.3 light seconds

Mean Solar Radius
2.3 light seconds

Mean Earth-Sun Distance
8.3 light minutes

Mean Jupiter-Sun
43 light minutes

Mean PLuto-Sun
5.5 light hours

There are 100 billion, or 10**11 stars in our galaxy.

Molecules do not generally survive in gas that is more than about 10 times hotter than the Earth's atmosphere. Sunspots and the envelopes of many highly evolved stars are marginally cool enough for molecules to exist. Much of the interstellar gas that is molecular has temperatures of only some tens of kelvins.

The temperature of a gas is proportional to the average kinetic energy of a free electron, ion, atom or molecule. The average thermal speed rises proportionately to the square root of the temperature and is around 1 km/s for a H molecule in a 100 kelvin gas.

The number of molecules in a cubic metre of air under standard atmospheric conditions on Earth is about 3 x 10**25. In interstellar clouds the density is 10**8-10**9/cubic m. Protosolar disk near where Jupiter formed was 10**2-/cubic metre.

The Universe probably began with a Big Bang. When it was only about 3 minutes old nuclear reactions, some of which formed most of the Universe's helium prevailed. After 500,000 years cooled enough so that electrons interacted with positive ions to produce neutral matter, mostly atomic H and He.
Some of this matter accumulated into pregalactic gas clouds through the influence of molecular H which acted as an effective cooling agent. Within these regions, the first generation of massive, short-lived stars were formed. They "burned" H to make the heavier elements of C, N and O. When these first stars exploded they seeded the Early Universe with trace amounts of these elements so that the pregalactic gas gradually became eneriched in C, N and O. In this new situation a wider variety of stars could form: the cloud of gas became a galaxy of stars, gas clouds and dust.

The explosions of the supernovae maintain a pressure in the interstellar medium which helps to accumulate very tenuous gas into somewhat denser clouds. When these clouds become massive enough, gravitational collapse ensues and new stars form. Some of these will end in supernovae, but most of them as stars of lower mass. Low-mass stars develop winds which stir the gas and help to create conditions in which new stars can form. Older low-mass stars, towards the end of their lives are unable to hold on to their atmospheres which begin to drift away in enormous cool envelopes.

Around 80 percent of the mass of visible matter in the Universe is H. A H atom is the simplest type of atom and consists of a proton and an electron interacting electromagnetically. Quantum mechanically, a H atom is veiwed as an electron-proton system that can be in particular states in which the energy, electron angular momentum and the sum of the spins of the proton and electron are conserved.

A property of a hot gas is that it radiates at wavelengths that are characteristic of the atoms or molecules present. The ability to identify atoms and molecules through features in the spectrum is the basic tool of astrophysics. These features recur in all regions of the electromagnetic spectrum, not only in the visible.

Helium is the second most abundant element in the Universe, after H.

(Sodium chloride in a flame gives rise to an oragne glow, corresponding to a wavelength of ~ 589 nm.)

At large distances two H atoms attract each other weakly, and as they come together they attract each other even more strongly, but ultimately at close range they repel each other. What happens when two hydrogen atoms approach each other from a great distance. Since each atom is made up of a proton and an electron, each has an electric field that is felt by the other. Each atom readjusts very slightly in this field in such a way that the atoms attract each other. If the atoms are far from one another, then on average only one of the electrons is between the two protons while the other electron is on the far side of one of the protons. this 'in-between' electron partly screens the protons from each other, but - on average - in the region between the two protons the electric field is slightly dominated by the protons and, hence, attractive to electrons. This attraction for the electrons slightly distorts the electron distributions enhancing the maximum of the distributions near the midplanc of points equidistant from the two protons. The increase in the electron concentration between the protons further shields that proton from one another and even creates a pull, towards the midplane, on the protons. As the protons become closer the distortion of the electron distribution becomes greater, and the pull towards the midplane on the protoms increases. As the atoms become closer, the electrons on each respond more to both protons. They no longer 'belong' to one of the atoms but to the pair, since they, and the protons, are identical. If the protons come even closer together there is a high probability that neither electron is between the protons; then the protons are not screened from one another and their electric interaction caused them to repel one another.

It is possible to trap the atoms so that they remain bound to each other, forming a molecule. This molecule now has vibrational and rotational motions that are not shared by atoms. The total energy of a molecule is the sum of the electronic, vibrational and rotational energies.

Photodissociation (absorbs radiation and then falls apart) is very often the major means of destroying molecules in astronomical environments. It generally requires radiation in the ultraviolet region of the spectrum. Atoms and molecules may be photoionized but only molecules may be photodissociated.

Photodissociation:
OH + radiation => OH* => O + H

Molecular Photoionization:
OH + radiation => OH+ + e-

Atomic Photoionization:
H + radiation => H+ + e-

The vibrational energy of a system of atoms bound together in a molecule is restricted to certain discrete values, just as is the energy of an electron bound to a proton.

Even in the lowest vibrational energy state there is still some energy so the molecule is still vibrating in the lowest possible vibrational energy state. The molecule never sits entirely still, without vibrating.

Transitions between various vibrational energy levels of the same electronic state leading to the emission or absorption of radiation tend to fall in the IR rather than the visual or UV regions of the spectrum associated with transitions between the electronic states.

Molecules can rotate end-over-end. Quantum mechanics tells us that the energy of rotation for molecules can have only certain permitted values.

The total energy of a molecule depends on its particular electronic state, its vibrational state and its rotational state. Each electronic state has a ladder of vibrational levels. Each of these vibrational levels has a family of rotational levels associated with it. When transitions occur in molecules, they occur from one particular electronic + vibrational + rotational state to another. The energy of each state is the sum of energies of each part, and when a photon is emitted it carries away an energy equal to the difference between the energy of the initial state and the energy of the final state. In dense enough gas the temperature of the gas determines the population in the various levels.

On Earth most matter is molecular rather than atomic. In many astronomical situations the gas tends to be atomic rather than molecular and often it is the intense UV radiation field from very hot stars that is reponsible for driving the system towards atoms rather than molecules, by photodissociating the molecules.

For the interaction of two H atoms, as they approach they speed up, then separate, and slow down and unless they have lost some energy they will be able to separate completely. At high density, such as in the Earth's atmosphere, when a third H atom collides with the interacting pair, removes some energy and leaves them in a bound state. So high density helps to convert atoms to molecules, because high density leads to frequent collisions. This is the way that many reactions occur when the density is comparable to that of the air. But in nearly all astronomical situations the density is very much lower and the atom Z hardly ever finds the colliding pair XY and so three-body collisions do not contribute to the chemistry.

Ion-molecule collisions are very effective in forming new molecules. Reactions occur almost every time an ion and molecule meet, and they are drawn into interaction from relatively large separations. The positive ion polarizes the molecule, i.e. it pulls negative charges slightly towards it. The attraction between these opposite charges is then greater than the repulsion between the positive charges so that a net attractive force results. The partners spiral in towards each other from separations of about ten times a typical atomic radius, and interact with sufficient energy to create a complex of atoms. In the reaction of O+ and H2 the OH+ molecule forms, with a stronger bond than H2, and the H2 molecule is lost and an H atoms is expelled, carrying off excess energy. This is only the first in a sequence of reactions. Eventually H3O+ is formed and it can add no more hydrogen; the oxygen atom is unable to bind any more hydrogen to itself.

In nearly all astronomical situations, the molecule is H2 and the primary step in astrochemistry is usually its formation. Once H2 is available, then the effectiveness of ion-molecule chemistry in astronomy is often linked to the rate at which the ions can be created.

Ionization can occur in various ways. Ultraviolet radiation with wavelengths of around 100 nm can ionize some atoms, eg. C + radiation => C+ + e-. Another possibility is that cosmic rays, which are energetic particles (mostly protons) collide with atoms or molecules and eject an electron, eg. H2 + c.r. => H2+ + e- + c.r. Chemically the most influential cosmic rays in the interstellar gas, star forming regions, and protostellar disks are probably those travelling at about a few tenths of the speed of light. By cosmic ray standards these are not very energetic particles, but they are prevalent, having an abundance of the order of 10-4 m-3 in interstellar space.

What will happen to ions such as H3O+? They may be dissociated by the radiation field. Another important loss mechanism is the reaction with negative electrons. Since the gas is neutral overall, for each positive ion there is a negative electron. The attraction between positive ions and electrons is strong and neutralization usually occurs, but this very often creates an unstable molecule which then falls apart. For instance, H3O formed in the recombination of an electron with H3O+ dissociates to produce OH or H2O.

Though this fast dissociative type of recombination is a common fate for molecular ions. Atomic ions, on the other hand, recombine quite slowly with electrons, eg. C+ + E- <=> C* => C + radiation.

When two atoms (A & B) collide they are more likely to bounce off each other than to emit radiation and stabilize the molecule AB. When one of the partners is a molecule a new molecule may be formed. In ion-molecule reactions the electrical interactions are strong and pull the partners together so they collide quite energetically, often giving rise to rearrangement. In the case of neutral partners, the force of neutral partners is weak and there may be a barrier hindering interaction. and therefore rearrangement.

The close approach of reactants does not ensure that a reaction will take place. The product of a particular reaction may have a higher total internal energy than the reactants, and for the reaction to proceed additional energy must be provided by the kinetic energy of the approaching reactants.

Neutral reactions are not in general as efficient as ion-molecule reactions. The charge on the ion means that an ion and a molecule interact significantly at distances much larger than the size of the electron cloud around each reactant. The neutral species, on the other hand, have to experience a close collision before any reaction is possible. Neutral reactions are therefore only about 1% as likely to occur as ion-molecule reactions.

In astronomy, catalysis on surfaces is provided by dust grains. While atoms A & B might only rarely combine in the gas bacause the time they spend in collision is so short, on a surface there are sites to which both A & B will be drawn and held long enough for a reaction to occur and for some of the excess energy liberated to be absorbed by the grain. Dust in interstellar space can provide surfaces on which such catalysis is responsible for the formation of molcular H. Molecular H formed on the surfaces of dust grains can then take part in a variety of gas phase reactions, such as ion-molecule reactions and neutral exchanges.

The temperature of a gas affects the nature of the chemistry that occurs in it. High temperatures mean that colisons are more energetic, so that neutral exchange reactions that are inhibited at low temperatures can occur at high temperatures. The temperature also affects in a sensitive way the radiation that is emitted by the gas. In a warm gas, colisions between molecules help to populate a wider range of rotational and vibrational levels than is possible in a cold gas. The temperature is clearly an important parameter in any astronomical situation. Heating and colling of astronomical gases occur by a variety of processes, with those involving radiation often being the dominant ones in astronomical sources.

Heating can occur when matter extracts energy from the radiation field. For example, if ultraviolet radiation (perhaps from a hot star) ionizes a hydrogen atom then the electron carries off that amount of energy that is in excess of the minimum energy required to release the electron from the proton. In subsequent collisions, the electron shares its energy with the gas and loses energy itself in the process, while the gas of H atoms gains in energy, i.e. becomes hotter. In this way, energy produced by thermonuclear processes deep within a star and emerging as ultraviolet radiation heats the gas surrounding the stars.

Cosmic rays are also energy sources, and are particularly important in regions where stellar ultraviolet radiation does not penetrate. Cosmic rays colliding with atoms or molecules ionize them, producing electrons which carry off some energy which is then transferred to the neutral gas via collisions.

Cooling of a gas generally occurs by the emission of radiation from atoms and molecules. The temperature in a gas is the result of a balance between the heating and cooling mechanisms.

The Electromagnetic Spectrum
Energy is proportional to frequency and is inversely proportional to wavelength, i.e. long wavelengths mean low energy and vice versa.

At the highest energies (shortest wavelengths) fall the electronic spectra of ions, atoms and molecules. In the IR we find wavelengths of radiation corresponding to vibrational transitions of molecules, while at longer wavelengths, in the radio, lie lines associated with rotational transitions of molecules.

Temperature is a measure of the average kinetic energy of a particle in a gas. For example, the visible region corresponds to temperatures of the order of 10,000 kelvin while gas at a million kelvin or so can be expected to radiate in the x-ray region. The cool matter in the Universe, such as the Earth at a few hundred kelvin above absolute zero, radiates in the infrared.

Chemistry After the Big Bang
The Universe began in a hot Big Bang some 15 billion years ago and has been expanding ever since. At a very early stage when the temperature was hundreds or thousands of millions of kelvins, collisions between subatomic particles created H and He nuclei with very minor traces of deuterium (or heavy H), Li, Be, B nuclei. The matter was almost entirely ionized at this stage. As the expansion continued the gas temperature fell to several thousand K, matter began to recombine, and the Universe became more neutral as the expansion continued. As the expansion continued the wavelengths of the radiation filling the whole Universe continually became longer, in direct proportion to the degree that the Universe had expanded; most of the radiation consequently acquired wavelengths longer than those necessary for it to ionize H and He.

Due to their self-gravity, certain regions of matter within the generally expanding Universe collapsed to form protogalaxies.

The gas in the Early Universe was mostly atomic H. He was also present with an abundance about one tenth that of H. Deuterium (D or 2H) was less abundant than H (the main isotope, 1H) and was present in one part in 100,000. Li, Be and B were also present but they were less abundant. Although the gas was initially ionized, as the expansion proceeded the gas cooled and the protons and electrons recombined radiatively H+ + e- => H + radiation so that the photons of the radiation did not have enough energy to ionize other H atoms. The recombination of electrons and protons was never quite complete and the gas remained slightly ionized. (The Universe expanded so collisions became less frequent). The temperature of the gas was about 3000 K when most of the recombination was completed. This cooling was simply due to the expansion of the Universe.

There are two indirect routes which allowed H2 to form in the Early Universe:
H + e- => H- + H => H2 and H + H+ => H2+ + H => H2

These reactions gave a small H2 density of about one or two molecules of H2 per million H atoms. Deuterium behaves chemically as H so reactions involving H in the Early Universe also applied to D. The molecule HD was present at an abundance of about one molecule of HD to 100,000 of H2.

As gravity caused a protogalaxy to collapse, much of the gravitational energy released in the collapse was converted to heat in the gas. The pressure of hot gas retards the collapse of objects. In order for galaxies to form, cooling mechanisms had to operate to counteract the input of heat due to the collapse. Any gas at tens of thousands of kelvin in the Early Universe after recombination cooled rapidly by converting energy of the atoms' motions into radiation. The radiation could not be absorbed by other atoms. The gas was therefore less energetic and therefore cooler than before eg. H + H => H + H+ + e-

Cooling was also caused by the collisions of the electrons with neural H atoms. A collision induced the excitation of an H atom to its n=2 electronic state removing thermal energy from the gas and eventually the atom radiated and returned to its ground state.

As the cooling continued to below 10,000 K the rate of cooling declined. Molecular H formation introduced new cooling mechanisms into the Early Universe and these allowed cooling to continue to around 100 K. This cooling enhanced the ability of regions to collapse. The HD molecule is actually more efficient, per molecule, as a coolant at very low temperatures. Even though it was at a very low abundance in the Early Universe, its contribution to cooling was also important, particularly when the temperature was below about 100 K, since its lowest easily excited rotational level is at a much lower energy than that of H2.

If gravity is to cause a region to collapse, then the gravitational attraction must pull inwards harder than the gas pressure pushes outwards. If the gas is tenuous the gravitational forces are weak. Therefore tenuous hot gases are not likely to collapse. Spherical regions of gas must have a mass greater than a critical value, called the Jeans mass (Mj) if gravity is to overcome internal pressure. The Jeans mass is approximately Mj = 2 x 10**4 (T**3/n)**1/2
where T = temperature in kelvins
n = number of H atoms per cubic metre (number density)
mass is calculated in solar masses (approx. 2 x 10**30 kg)

The Jeans mass is larger at higher temperatures, but smaller at higher densities.

The sizes of the first regions to collapse in the Early Universe are unknown. Electrons and protons recombined so that the Universe was largely neutral atomic H when the Universe was about 5 x 10**5 years old. The temperature was approx. 3000 K and the number density, n, was about 10**10 m**-3, corresponding to a Jeans mass of about 10**5 solar masses.

A great deal of cooling had to occur to allow the Jeans mass in collapsing protogalaxies to fall from its value of 10**5 solar masses at the time of recombination to a value of about 1 solar mass so that stars could form. It is likely that collapse really got going when the average number density of the Universe had dropped to 10**4 m**-3, at which time the Universe was about 5 x 10**8 years old and the gas had a temperature of somewhat less than a kelvin.

There had to be a means of removing energy from the gas as the collapse proceeded to form the first stars. Emission of radiation by H2 provided this cooling in the early Universe. The heat of the gas was removed in the collapse time so that the gas never heated up. Therefore a collapse, once started, continued and the Jeans mass became smaller and smaller, because the temperature did not increase while the density increased. This means that during collapse less and less massive units became gravitationally unstable. Thus, fragmentation to smaller and smaller objects can occur.

Go to Astrochemistry - Part 2



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