The amount of energy radiated from
the Sun varies very slightly (depending on the amount of solar activity) and
this is known as the Solar Constant. At the distance of the Earth from the Sun,
(150 million kilometres) this energy is spread out over about 70 000 million
square kilometres, reducing its intensity to about 1.3 kW per square metre at
the top of the atmosphere, on a surface directly facing the Sun. The atmosphere
further reduces the Suns power to a maximum of about 1 kW per square metre on
the surface of the Earth (Figure 16). This reduction is due to absorption and
scattering, particularly by dust and water vapour. Even on the clearest day, at
least 10% of the Suns energy comes from scattered light. This component cannot
be focused by concentrating collectors, but can be absorbed by flat surfaces.
Figure 16 Atmospheric reduction of sunlight.
The intensity of the Suns energy (power) falling on a surface will vary
depending on a number of factors:
The amount of cloud cover: Cloud cover will reduce the
amount of sunlight available. Some of the radiation is scattered, and can
be absorbed by a flat surface, but not focused.
The amount of dust and optically active pollutants in
the atmosphere: These will also reduce the total radiation, as some is
scattered or diffused.
The thickness of the atmosphere: The amount of sunlight
absorbed and scattered by the atmosphere depends on its thickness. For
example, the maximum intensity at the top of mountains is higher than at
sea level, and is greater at the equator than at higher latitudes (that
is, towards the poles). Even at a particular latitude, the intensity will
vary with the seasons as the Sun varies in its maximum angular altitude.
The angle between the Sun and the absorbing surface: In
a given situation, the maximum sunlight intensity will be on a surface
directly facing the Sun. The variation with angle is illustrated in
Figures 17 and 18.
Figure 17
The Surface of the Sun
Because the Sun produces so much energy in the visible spectrum, scientists
must use different wavelengths to examine the surface and the atmosphere of the
Sun. When astronomers look at the surface of the Sun in white light, or the
visible part of the spectrum, they use special filters, which block all but
approximately 0.0001% of the light from the Sun. On the surface we can see
unusual dark and light texture, which is called solar granulation (see Figure
12). This granulation is a result of the convection of energy from the core
through the interior, and each granule is only about 1000 km across. The bright
areas are the hottest areas, where energy has just arrived at the surface as
part of the convective cycle, and the darker areas are cooler zones, which are
about to descend into the interior for warming.
Figure 12 Close up image of the solar surface showing granulation.
Figure 13 Doppler shift colour image of Super Granulation, red
supergranules are heading
towards the interior, blue towards the surface.
Super granulation is a larger scale
version of the granulation seen on the surface, except each supergranule is
approximately 35 times larger than the granules. Images such as Figure 13 are
taken using instruments, which can measure the Doppler shift of the
supergranules, hence the colour of the image.
What is the sun ?
The Sun is an ordinary star about half way through its lifetime. It
generates energy by the process of nuclear fusion occurring in its core.
Figure 1 An Extreme
ultraviolet Image Telescope (EIT) picture of the solar atmosphere
(courtesy of NASA’s
SOHO mission).
The Sun generates energy in the same way all other non-giant stars do, using
the three main processes of hydrogen fusion. The basic process is to combine
light atoms into heavier ones, but the mass of the heavier ones is slightly
less than the sum of the lighter ones. The extra mass is lost as energy and
radiated into space; this energy conversion is represented in the Einsteins
famous equation of E = mc2 (Case Western
Reserve University, 2006).
Solar Evolution
About 5.5 billion years ago, a passing star or galaxy disturbed a calm and
placid cloud of gas and dust, called a nebula. The star or galaxy caused the
cloud to swirl around, causing small eddies to form. The swirl caused the gas
to start to coalesce together. Gravity, one of the universes four fundamental
forces, caused more and more gas and dust to gather onto these masses. The
masses kept getting bigger and bigger. At this stage, they were called
protostars. As gravity caused the material to pile on, it also caused them to
condense, which increased their gravitational force. The condensation caused
the pressure in their cores to rise, and their internal heat increased. When
the heat reached a temperature of 10,000,000 °C, nuclear fusion started, and our
Sun was born (Case
Western Reserve University, 2006).
After a lifetime of 9 billion years as a main-sequence star, approximately
10% of the hydrogen in the Suns core will have been converted into helium, and
nuclear fusion reactions will cease producing energy. The equilibrium between
the total pressure force directed outwards and the gravitational force directed
towards the centre of the Sun will be disturbed. The core of the Sun starts to
slowly collapse under its own gravity and the fusion reactions move out towards
shells surrounding the core, where hydrogen-rich material is still present. The
gravitational energy from the collapse will be converted into heat causing the
shell to burn vigorously and the Suns outer layers swell. The surface will be
far removed from the central energy source, and it will cool and appear to glow
red. The Sun will then have evolved into the stage of a red giant (Encyclopedia
of Planetary Sciences, 1997).
For a few hundred million years, the expansion of the outer solar layers
will continue, and the Sun, as a red giant, will engulf the planet Mercury. The
temperature on Venus and Earth will rise tremendously. Hydrogen fusion in the
shell continues to deposit helium "ash" onto the core, which becomes
even hotter and more massive. In the Suns core nuclear fusion of helium into
carbon and oxygen will start to trigger even further expansion of its outer
layers. The helium-rich core, unable to lose heat fast enough becomes unstable.
In a very short time of a few hours, the core will get too hot and is forced to
expand explosively. Outer layers of the Sun will absorb the core explosion but
the core will no longer be able to produce energy by thermonuclear burning.
Helium fusion will then continue in a shell and the structure of the Sun will
look like an onion: An outer, hydrogen-fusion layer and an inner, helium-fusion
layer, which surrounds an inert core of carbon and oxygen. The old Sun may
repeat the cycle of shrinking and swelling several times. In this stage of
evolution the Sun is called an asymptotic giant branch star. Finally enough
carbon will accumulate in the core to prevent the core explosion. Helium-shell
burning will add heat to the outer layers of the Sun, mainly containing
hydrogen and helium. The asymptotic giant Sun will eventually generate an
intense wind that will begin to carry off its outer envelope. The precise mechanism
behind this phenomenon is not yet well understood. The Sun will expand a final
time, and after about 30 million years it will swallow Venus and Earth, outer
layers will keep expanding outward and as much as half of the Sun mass will
be lost into space (Encyclopedia
of Planetary Sciences, 1997).
The solar core will keep shrinking, and because it is not able to produce
radiation by fusion, the further evolution of the Sun will be governed by
gravitation. All matter will collapse into a small body about the size of the
Earth. Thus, the Sun will have become a white dwarf. This is a dense-matter
configuration, having radiated away the energy of its collapse. Then the white
dwarf rapidly begins to cool. The final stage of solar evolution will be the
black dwarf stage. The white dwarf will emit yellow light and then red light in
the course of its evolution, drawing from the stars reservoir of thermal
energy. Its nuclei will be packed as tightly as physically possible and no
further collapse will be possible. The body will progressively cool down and
finally becomes as cold as the interstellar space around it, emitting no light
at all. As a carbon-oxygen-rich black dwarf it will continue its journey
through the galaxy (milky way) and may eventually encounter another giant gas
cloud to become involved in the birth of a new star (Encyclopedia
of Planetary Sciences, 1997). For a schematic of the Suns luminosity and
temperature as it evolves, see Figure 2.
The most important series of fusion
reactions are those converting hydrogen to helium in a process known as
hydrogen burning. The chances of four protons fusing together to form helium in
one go are completely negligible. Instead, the reaction must proceed through a
series of steps. The two main hydrogen-burning reaction chains are the
proton-proton (PP) chain and the carbon-nitrogen (CNO) cycle. The PP chain
divides into three main branches, which are called the PPI, PPII and PPIII
chains. The first reaction is the interaction of two protons (p or 1H) to form
a nucleus of heavy hydrogen (deuteron, d, or 2H), consisting of one proton and
one neutron, with the emission of a positron (e+) and a neutrino
(n). The deuteron then captures another proton and forms the light isotope of
helium with the emission of a gamma ray (Dhillon, 1999). The PPI reaction
occurs 69% of the time, the PPII reaction occurs around 30% of the time, and
the PPIII reaction is very rare, only representing 0.093% of the proton-proton
reactions in the Sun. The huge release of gamma rays from these processes is
what we call “sunlight”. For a pictorial representation of all three
proton-proton chains, see Figure 3.
The average proton in the Sun will
undergo the PPI reaction approximately once in the lifetime of the Sun, i.e.
once every 1010 years. The subsequent reactions occur much more
quickly, with the second step of the PP chain taking approximately 6 seconds
and the third step approximately 106 years in the Sun. The relative importance
of the PPI and PPII chains depend on the relative importance of the reactions
of 3He with 3He in PPI, as compared to the reactions of 3He with 4He in PPII.
For temperatures in excess of 1.4 x 107 K, 3He prefers to react with
4He. At lower temperatures, the PPI chain is more important. The PPIII chain is
never very important for energy generation, but it does generate abundant
high-energy neutrinos (Dhillon, 1999).
The other hydrogen burning reaction
of importance is the CNO cycle. For more massive stars than the Sun, the
proton-proton chain can still occur, but there is another sequence of reactions
that become favourable for converting hydrogen to helium. In stars, the primary
constituents are hydrogen and helium, however there are relatively minute
amounts of heavier elements. Carbon (C), Nitrogen (N), and Oxygen (O) ions, if
they are present, can partake in the sequence of reactions illustrated in the
figure below. The reaction starts with a carbon nucleus, to which are added
four protons successively. In two cases the proton addition is followed
immediately by beta decay, with the emission of a positron and a neutrino, and
at the end of the cycle a helium nucleus is emitted and a nucleus of carbon
remains (Dhillon, 1999). The reactions of the CNO cycle are shown
pictorially in Figure 4.
The Sun is made up of different layers, which can broadly be described as
the Corona, Chromosphere, Photosphere, the Radiative and Convective zones, and
the Core, as shown in Figure 5.
The Core
The core of the Sun contains the innermost 10% of the Suns mass and 25% of the
diameter. As discussed previously, fusion is a process whereby lighter nuclei
are fused or joined together into more massive nuclei. All of the elements
present in the Sun are plasmas, as a result of the extremely high temperature
of the core (around 15 million degrees Celsius) and the density of the core is
about 150 grams per cubic centimetre, more than 20 times that of iron. Unlike
the Earth, there is no molten rock or other liquid in the core.
The Interior
The interior of the Sun consists of three zones; the radiative zone, the
interface layer and the convective zone.
Radiative Zone
In the radiative zone, (or radiative envelope) heat and energy is transported
from the extremely hot core to the convective zone by the movement of photons
(light) from the core towards the surface. It extends from the top of the core
to about 70% of the Suns diameter. The density in the radiative zone drops from
20 grams per cubic centimetre (about that of gold) near the core, to 0.2 grams
per cubic centimetre (much less than water). In the same distance, the
temperature drops from 7 million degrees Celsius to 2 million degrees Celsius.
Interface Layer
As the name suggests, this thin layer lies between the radiative zone and the
convective zone. In recent years, this layer has become the focus of much
research, as it is now believed to be home to a magnetic dynamo, which is the
source of the Suns magnetic field. As an intermediary between the turbulent
convective zone and the calm radiative zone, there are significant changes in
the velocity of the fluid, which result in a large shear and a stretching in the
magnetic field lines, which increases the field strength.
Convective Zone
The convective zone (or convective envelope) extends for about the last 200 000
km up to the start of the photosphere. Energy in the outer convective zone is
transported by a process of convection. At a temperature of about 2 million
degrees Celsius at the innermost edge, the heavy ions of elements such as C, N,
O, Ca and Fe retain some of their electrons which makes it more difficult for
the radiative transfer of energy, so convection processes become more important.
The Photosphere
The photosphere is the deepest part of the Sun that we can see and is analogous
to the Earths crust (see Figure 2). It is only about 100 km thick. Unlike the
Earth, there is no solid foundation, and the photosphere consists of
approximately 94% H, 6% He and 0.13% other gases at a temperature of about 5700
K (or ~ 6000 degrees Celsius). The term photosphere comes from the Greek word photos
- meaning light.
Energy is radiated away from the Sun
mainly as electromagnetic radiation - that is light and heat (see Figure 8),
which originate in the photosphere. In the Sun, the maximum amount of
electromagnetic radiation is emitted in the visible part of the spectrum, which
is a direct consequence of the temperature of the photosphere. The photosphere
actually makes up the lowest part of the solar atmosphere and can be thought of
as the Suns surface.
The light that is currently reaching
the Earth was generated in the Sun approximately 100,000 years ago. It takes that
long to get to the surface because the Sun is so dense making it very difficult
for the energy to escape. Once light leaves the Suns surface, it takes
approximately 8 minutes and 26 seconds to reach Earth (Case Western Reserve University, 2006).
The light from the Sun is made up of
many colours, called the visible spectrum and many shorter and longer
wavelengths of light, collectively called the electromagnetic spectrum (see
Figure 8). These other wavelengths are invisible to humans, but they can be
measured with special detectors. These other wavelengths consist of Infrared
(IR), Ultraviolet (UV), Micro, Radio, X, and Gamma. IR rays heat up matter. (IR
light rays can be produced by specially modified light bulbs, and are used in
many places that sell food.) Our atmosphere acts as an "infrared
shield," and keeps this light from reaching the surface. UV light has
become an increasing concern over the past few years. It is a form of
radiation, and the hole in the ozone layer is allowing some of the normally
blocked UV light to get through. UV light causes tans, sunburns, and skin
cancer. Microwaves are put to use in most peoples kitchens in the aptly named microwave
oven. They are used to heat foods quickly, and are more effective at doing so
than IR. Radio waves are used in a whole branch of astronomy, for they can
penetrate clouds of gas and dust that visible light cant. They are also used
for transmitting radio and television shows, with television having a slightly
higher frequency. X-rays are a form of radiation that are more powerful than
UV, and are normally blocked by our atmosphere. X-rays are mainly used for
medical purposes. Since they are a form of higher energy, they can penetrate
denser objects than visible light can. Gamma rays are the most energetic form
of radiation, and can pass through the human body. In cells, they can cause mutations
and other severe damage. Luckily, they are blocked by our atmosphere. If they
werent, life as we know it, would be impossible (Case Western Reserve University, 2006).
Figure 9 shows how the strongest
frequency of light that is emitted from an object changes with its temperature
and Figure 10 shows that the Sun is brightest in the visible spectrum at a
temperature of approximately 6000 K, where cooler objects emit their maximum
amount of electromagnetic radiation at lower frequencies.
Figure 9 The temperature of an object can be ascertained from the
frequency it emits most strongly in the electromagnetic spectrum. The Sun, at
around 6000 degrees Kelvin, is brightest in the visual spectrum in relation to
cooler bodies, which are brightest at lower frequencies (courtesy of the University of Washington Astronomy Department).
The Solar Atmosphere
The solar atmosphere consists of two
main regions, the Chromosphere and the Corona.
Chromosphere The chromosphere, chromo
meaning colour, is an irregular layer immediately above the photosphere where
the temperature rises to about 20 000 degrees Celsius (see Figure 10). In 1997,
researchers from the Stanford-Lockheed Institute for Space Research in America,
announced that they believed that the dramatic increase in temperature between
the photosphere at about 5700 degrees Celsius and the chromosphere was due to
the loops of a magnetic carpet created in the interface layer between the
radiative and convective zones. Read about the discovery here.
Figure 10 The Solar Chromosphere in red against the pale blue of the
corona
(copyright Marshall Space Flight Centre)
Corona The corona is the outermost part of
the Solar atmosphere and it extends far out into the solar system. Despite the
high temperature of the corona, of about 1 million degrees Celsius, it contains
very little heat energy as a result of the tenuous nature of the corona. The
gases in the corona are so hot (although there are only a few particles) that
they emit mostly X Rays. The corona contains mainly super heated gases,
particularly Hydrogen and Helium as well as a few other light elements such as
carbon, nitrogen and oxygen, which are completely ionised to leave only a bare
nucleus.
There are actually three different types of corona, the White Light Corona, which
we see as the wispy halo around the Sun during total eclipses, the Emission
Line Corona, due to the emission spectra produced by the highly ionised light
elements and the X Ray Corona which emitted as a result of the high
temperatures in the corona (see Figure 11a, 11b and 11c).
The
X Ray corona with coronal holes, the regions where there is no X Ray emission (copyright Marshall Space Flight Centre)
Figure
11a, 11b & 11c The Corona as seen in the different
wavelengths.
Sunspots and Solar Flares
A sunspot is a region on the Suns
surface (photosphere) that is marked by a lower temperature than its
surroundings and intense magnetic activity, which inhibits convection, forming
areas of low surface temperature. Although they are blindingly bright, at
temperatures of roughly 4000-4500 K, the contrast with the surrounding material
at some 5700 K leaves them clearly visible as dark spots (see Figure 14)
(Wikipedia, 2008b).
Figure 14 The closest view yet of a sunspot and its neighbourhood has
been made by the Swedish Solar Telescope
(Courtesy of The Remote Sensing
Tutorial).
A solar flare is a violent explosion
in the Suns atmosphere equivalent to tens of millions of hydrogen bombs (see
Figure 15). Solar flares take place in the solar corona and chromosphere,
heating plasma to tens of millions of Kelvin, and accelerating the resulting
electrons, protons and heavier ions to near the speed of light. They produce
electromagnetic radiation across the electromagnetic spectrum at all wavelengths
from long-wave radio to the shortest wavelength gamma rays. It is generally
accepted that flares represent conversion of magnetic energy into kinetic
energy of particles and radiation, via a process called magnetic reconnection.
Most flares occur around sunspots, where intense magnetic fields emerge from
the Suns surface into the corona. The energy associated with solar flares may
take several hours or even days to build up, but most flares take only a matter
of minutes to release their energy (Wikipedia, 2008a). Solar flares extending
well beyond the photosphere occur during Sun storms.
Figure 15 A Transition Region and Coronal Explorer (TRACE) image
acquired in the summer of 2000 that shows solar flaring.
(courtesy of The Remote Sensing
Tutorial).
Sun Angles
The Suns (apparent) movement
When we see the Suns position changing in the sky it is of course the Earth
that is moving, not the Sun. While recognising this, for convenience in this
Portal file, we will refer to it as the Suns movement. By appreciating how the
Suns movement throughout the day varies from season to season, we can predict
the performance of solar equipment and buildings. We will know when the Sun is
shining on them and for how long.
The seasonal variation in the times
of sunrise and sunset, and the variation in the Suns altitude are caused by the
Earths axis being tilted at a constant angle to the plane of its rotation
around the Sun. In Figure 19, we see that the Earths axis of rotation is tilted
(inclined) at 23.5 degrees to its plane of revolution around the Sun, and
constantly points to one direction in space.
Figure 19 The direction of the Earths axis of rotation remains fixed
at 23.5 degrees as it moves around the Sun (based on original by Sam Paolino)
Figure 20 The number of hours of daylight varies as the Earth
revolves around the Sun.
In Figure 20, we can see that in December, the southern hemisphere of the Earth
has longer days than the northern hemisphere. In June, the reverse occurs, with
the days being shorter in the southern hemisphere. The Earths axis is still
tilted at 23.5 degrees in September and March, so both the northern and
southern hemispheres have the same length of day. We can also see from Figures
20 and 21 that the angle of the Sun above the horizon at a given time of day
will also vary throughout the year.
Figure 21 The apparent movement of the Sun as seen from a point on the
Earths surface.
Figure 22 The Sun Angle Chart for Perth, Western Australia.
Figure 22 shows that at noon on December
21 (the summer solstice), the Suns altitude at Perth will be 81.5 degrees, or
almost directly overhead. It also shows that at noon on June 21 (the winter
solstice), the Suns altitude at Perth will be 34.5 degrees or shining more
directly into our face than the top of our head. Figure 22 also shows the
position of the Sun on March 21 and September 21 (autumn and spring equinoxes),
when the maximum altitude of the Sun will be 58.5 degrees in Perth. The
seasonal variation in the point on the horizon at which the Sun rises and sets
are generally less understood or appreciated. From Figure 22, we can see that
the Sun only rises in the east and sets in the west at the spring and autumn
equinoxes. From March to September in the southern hemisphere, it will rise and
set to the north of the east-west line and from September to March is will rise
and set to the south of the east-west line. Given a date and time, you can tell
where the Sun will be in the sky using a Sun Angle Chart.
A Useful Table of Sun/Earth Data
Sun
Earth
Ratio
(Sun/Earth)
Mass (1024 kg)
1,989,100
5.9736
333,000
Volume (1012 km3)
1,412,000
1.083
1,304,000
Average Radius (km)
696,000
6371
109.2
Average Density (kg/m3)
1408
5515
0.255
Surface Gravity at Equator (m/s2)
274.0
9.78
28.0
Escape Velocity (km/s)
617.7
11.2
55.2
Rotation Rate at Equator (hours)
609.12
23.9345
25.449
Rotation Rate at Poles (hours)
~
936
23.9345
~
39
Axial Tilt
7.25°
23.45°
0.309
Ellipticity
0.00005
0.0034
0.015
Polar Magnetic Field (gauss)
1
to 2
0.3071
3.3
to 6.5
Visual Magnitude
-26.73
-3.86
N/A
Absolute Magnitude
+4.83
N/A
N/A
Luminosity (1024 J/s)
384.6
N/A
N/A
Mass Conversion Rate (106
kg/s)
4300
N/A
N/A
Average Energy Production (10-3
J/kg)
0.1937
N/A
N/A
Surface Emission (106
J/(m2 s))
63.29
N/A
N/A
Speed Relative to Nearby Stars
(km/s)
19.4
N/A
N/A
Spectral Type
G2
V
N/A
N/A
Efficiency
Double Glazing, Thermal Glass and Glass Coatings:
Although rather expensive, double glazes windows are superb insulators compared to single glazed windows. If climate change is going to mean colder winters then the payback time will come down from decades to years on double glazing your home.